realprecision = 38 significant digits
   echo = 1 (on)
? ellinit([0,0,0,-1,0])
[0, 0, 0, -1, 0, 0, -2, 0, -1, 48, 0, 64, 1728, [1.0000000000000000000000000
000000000000, 0.E-38, -1.0000000000000000000000000000000000000]~, 2.62205755
42921198104648395898911194136, 2.6220575542921198104648395898911194136*I, -0
.59907011736779610371996124614016193910, -1.79721035210338831115988373842048
58173*I, 6.8751858180203728274900957798105571979]
? ellinit([0,0,0,-17,0],1)
[0, 0, 0, -17, 0, 0, -34, 0, -289, 816, 0, 314432, 1728]
? ellj(I)
1728.0000000000000000000000000000000000 + 0.E-45*I
? ellsub(ellinit([0,0,0,-17,0]),[-1,4],[-4,2])
[9, -24]
? acurve=ellinit([0,0,1,-1,0])
[0, 0, 1, -1, 0, 0, -2, 1, -1, 48, -216, 37, 110592/37, [0.83756543528332303
544481089907503024040, 0.26959443640544455826293795134926000404, -1.10715987
16887675937077488504242902444]~, 2.9934586462319596298320099794525081778, 2.
4513893819867900608542248318665252253*I, -0.47131927795681147588259389708033
769964, -1.4354565186686843187232088566788165076*I, 7.3381327407895767390707
210033323055881]
? apoint=[2,2]
[2, 2]
? elladd(acurve,apoint,apoint)
[21/25, -56/125]
? ellak(acurve,1000000007)
43800
? ellan(acurve,100)
[1, -2, -3, 2, -2, 6, -1, 0, 6, 4, -5, -6, -2, 2, 6, -4, 0, -12, 0, -4, 3, 1
0, 2, 0, -1, 4, -9, -2, 6, -12, -4, 8, 15, 0, 2, 12, -1, 0, 6, 0, -9, -6, 2,
 -10, -12, -4, -9, 12, -6, 2, 0, -4, 1, 18, 10, 0, 0, -12, 8, 12, -8, 8, -6,
 -8, 4, -30, 8, 0, -6, -4, 9, 0, -1, 2, 3, 0, 5, -12, 4, 8, 9, 18, -15, 6, 0
, -4, -18, 0, 4, 24, 2, 4, 12, 18, 0, -24, 4, 12, -30, -2]
? ellap(acurve,10007)
66
? ellap(acurve,10007,1)
66
? deu=direuler(p=2,100,1/(1-ellap(acurve,p)*x+if(acurve[12]%p,p,0)*x^2))
[1, -2, -3, 2, -2, 6, -1, 0, 6, 4, -5, -6, -2, 2, 6, -4, 0, -12, 0, -4, 3, 1
0, 2, 0, -1, 4, -9, -2, 6, -12, -4, 8, 15, 0, 2, 12, -1, 0, 6, 0, -9, -6, 2,
 -10, -12, -4, -9, 12, -6, 2, 0, -4, 1, 18, 10, 0, 0, -12, 8, 12, -8, 8, -6,
 -8, 4, -30, 8, 0, -6, -4, 9, 0, -1, 2, 3, 0, 5, -12, 4, 8, 9, 18, -15, 6, 0
, -4, -18, 0, 4, 24, 2, 4, 12, 18, 0, -24, 4, 12, -30, -2]
? ellan(acurve,100)==deu
1
? ellisoncurve(acurve,apoint)
1
? acurve=ellchangecurve(acurve,[-1,1,2,3])
[-4, -1, -7, -12, -12, 12, 4, 1, -1, 48, -216, 37, 110592/37, [-0.1624345647
1667696455518910092496975959, -0.73040556359455544173706204865073999594, -2.
1071598716887675937077488504242902444]~, -2.99345864623195962983200997945250
81778, -2.4513893819867900608542248318665252253*I, 0.47131927795681147588259
389708033769964, 1.4354565186686843187232088566788165076*I, 7.33813274078957
67390707210033323055881]
? apoint=ellchangepoint(apoint,[-1,1,2,3])
[1, 3]
? ellisoncurve(acurve,apoint)
1
? ellglobalred(acurve)
[37, [1, -1, 2, 2], 1]
? ellheight(acurve,apoint)
0.40889126591975072188708879805553617287
? ellheight(acurve,apoint,1)
0.40889126591975072188708879805553617296
? ellordinate(acurve,1)
[8, 3]
? ellztopoint(acurve,ellpointtoz(acurve,apoint))
[0.99999999999999999999999999999999999990 + 0.E-38*I, 2.99999999999999999999
99999999999999998 + 0.E-38*I]
? ellpow(acurve,apoint,10)
[-28919032218753260057646013785951999/292736325329248127651484680640160000, 
478051489392386968218136375373985436596569736643531551/158385319626308443937
475969221994173751192384064000000]
? ellwp(acurve)
x^-2 + 1/5*x^2 - 1/28*x^4 + 1/75*x^6 - 3/1540*x^8 + 1943/3822000*x^10 - 1/11
550*x^12 + 193/10510500*x^14 - 1269/392392000*x^16 + 21859/34684650000*x^18 
- 1087/9669660000*x^20 + 22179331/1060517858400000*x^22 - 463/124093970000*x
^24 + 47495017/70175140035000000*x^26 - 34997918161/291117454720092000000*x^
28 + O(x^30)
? ellpointtoz(acurve,apoint)
0.72491221490962306778878739838332384646 + 0.E-58*I
? q*Ser(ellan(acurve,100),q)
q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 
6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*
q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 
+ 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*
q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q
^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^6
2 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 -
 q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q
^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^
92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 - 2*q^100 + O(
q^101)
? bcurve=ellinit([0,0,0,-3,0])
[0, 0, 0, -3, 0, 0, -6, 0, -9, 144, 0, 1728, 1728, [1.7320508075688772935274
463415058723669, 0.E-38, -1.7320508075688772935274463415058723669]~, 1.99233
28995834907073368080310227454215, 1.9923328995834907073368080310227454215*I,
 -0.78842061340415606811560792095228873037, -2.36526184021246820434682376285
68661911*I, 3.9693903827627596663162680332564652027]
? elllocalred(bcurve,2)
[6, 2, [1, 1, 1, 0], 1]
? elltaniyama(bcurve)
[x^-2 - x^2 + 3*x^6 - 2*x^10 + 7*x^14 + O(x^15), -x^-3 + 3*x - 3*x^5 + 8*x^9
 - 9*x^13 + O(x^14)]
? ccurve=ellinit([0,0,-1,-1,0])
[0, 0, -1, -1, 0, 0, -2, 1, -1, 48, -216, 37, 110592/37, [0.8375654352833230
3544481089907503024040, 0.26959443640544455826293795134926000404, -1.1071598
716887675937077488504242902444]~, 2.9934586462319596298320099794525081778, 2
.4513893819867900608542248318665252253*I, -0.4713192779568114758825938970803
3769964, -1.4354565186686843187232088566788165076*I, 7.338132740789576739070
7210033323055881]
? l=elllseries(ccurve,2)
0.38157540826071121129371040958008663666
? elllseries(ccurve,2,1.2)-l
1.32243114 E-38
? tcurve=ellinit([1,0,1,-19,26]);
? ellorder(tcurve,[1,2])
6
? elltors(tcurve)
[12, [6, 2], [[-2, 8], [3, -2]]]
? mcurve=ellinit([0,0,0,-17,0])
[0, 0, 0, -17, 0, 0, -34, 0, -289, 816, 0, 314432, 1728, [4.1231056256176605
498214098559740770251, 0.E-38, -4.1231056256176605498214098559740770251]~, 1
.2913084409290072207105564235857096009, 1.2913084409290072207105564235857096
009*I, -1.2164377440798088266474269946818791934, -3.649313232239426479942280
9840456375802*I, 1.6674774896145033307120230298772362381]
? mpoints=[[-1,4],[-4,2]]~
[[-1, 4], [-4, 2]]~
? mhbi=ellbil(mcurve,mpoints,[9,24])
[-0.72448571035980184146215805860545027439, 1.307328627832055544492943428892
1943055]~
? ma=ellheightmatrix(mcurve,mpoints)

[1.1721830987006970106016415566698834134 0.447697388340895169139483498064433
13906]

[0.44769738834089516913948349806443313906 1.75502601617295071363242692695662
74446]

? matsolve(ma,mhbi)
[-1.0000000000000000000000000000000000000, 1.0000000000000000000000000000000
000000]~
? cmcurve=ellinit([0,-3/4,0,-2,-1])
[0, -3/4, 0, -2, -1, -3, -4, -4, -1, 105, 1323, -343, -3375, [2.000000000000
0000000000000000000000000, -0.62500000000000000000000000000000000000 + 0.330
71891388307382381270196920490755321*I, -0.6250000000000000000000000000000000
0000 - 0.33071891388307382381270196920490755321*I]~, 1.933311705616811546733
0768390298137310, 0.96665585280840577336653841951490686552 + 2.5575309899160
994790492257969408742846*I, -0.85584863309985585256414907906657726119 + 4.98
606127 E-39*I, -0.42792431654992792628207453953328863060 - 2.757161217166147
2068745043203629203178*I, 4.9445046002825467364981969681843776438]
? ellpow(cmcurve,[x,y],quadgen(-7))
[((-2 + 3*w)*x^2 + (6 - w))/((-2 - 5*w)*x + (-4 - 2*w)), ((34 - 11*w)*y*x^2 
+ (40 - 28*w)*y*x + (22 + 23*w)*y)/((-90 - w)*x^2 + (-136 + 44*w)*x + (-40 +
 28*w))]
? \p96
   realprecision = 96 significant digits
? precision(cmcurve)
38
? getheap
[57, 4658]
? print("Total time spent: ",gettime);
Total time spent: 80
? \q