Cremona's table of elliptic curves

41262 = 2 · 3 · 13 · 23²

Class	r	Atkin-Lehner	Eigenvalues
41262a (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0 -2 -6 13- -6 -2
Curve Equation t Generators 41262a1 [1,1,0,-82270,9142948] 2 [-33:3455:1] 41262a2 [1,1,0,-1320130,583262416] 2 [657:-64:1]
41262b (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0  4 -4 13-  4  0
Curve Equation t Generators 41262b1 [1,1,0,4903555,4696781757] 2 [15006:2345393:27] 41262b2 [1,1,0,-30137405,45771795069] 2 [6618:365787:1]
41262c (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0 -4  4 13- -4  0
Curve Equation t Generators 41262c1 [1,1,0,9270,-381996] 2 [100:1198:1] 41262c2 [1,1,0,-56970,-3786732] 2 [-148:1270:1]
41262d (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  2 -2  0 13-  6  0
Curve Equation t Generators 41262d1 [1,1,0,-2640514,-1653144332] 2 [5863745994156:80072750198378:2979767519] 41262d2 [1,1,0,-42252034,-105728451980] 2 [39134803675158107811:-11610731351049470455268:443618848926163]
41262e (2 curves)	1	2+ 3+ 13- 23-	2+ 3+ -2  2 -2 13-  4 -4
Curve Equation t Generators 41262e1 [1,1,0,-2726741,2023943661] 2 [5533:-398194:1] 41262e2 [1,1,0,-45639221,118651481805] 2 [3739:15323:1]
41262f (2 curves)	1	2+ 3+ 13- 23-	2+ 3+ -2  2  4 13- -2 -4
Curve Equation t Generators 41262f1 [1,1,0,92829,10516761] 2 [15:3444:1] 41262f2 [1,1,0,-526101,98281035] 2 [1073:27223:1]
41262g (4 curves)	1	2+ 3+ 13- 23-	2+ 3+ -2 -4  4 13- -2  8
Curve Equation t Generators 41262g1 [1,1,0,-10326,-8436780] 2 [24792378924:-721185168022:29503629] 41262g2 [1,1,0,-687446,-217666860] 4 [91524:-5198234:27] 41262g3 [1,1,0,-1237606,179218564] 2 [59:10286:1] 41262g4 [1,1,0,-10971206,-13991735004] 2 [-51648:26786:27]
41262h (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  4  0  2 13+  2 -8
Curve Equation t Generators 41262h1 [1,0,1,-7190444,-7421799526] 2 [1958805:240372119:125] 41262h2 [1,0,1,-6947104,-7947413926] 2 [62317:15511121:1]
41262i (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -4  0 -2 13+ -2  8
Curve Equation t Generators 41262i1 [1,0,1,-13593,608812] 2 [71:-90:1] 41262i2 [1,0,1,-13133,652052] 2 [129:988:1]
41262j (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0  2 -2 13-  6  6
Curve Equation t 41262j1 [1,0,1,-16146,-5315804] 2 41262j2 [1,0,1,-566306,-163321756] 2
41262k (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0  2 -6 13- -6 -7
Curve Equation t 41262k1 [1,0,1,-24081,1603516] 3 41262k2 [1,0,1,158424,-4747658] 1
41262l (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0 -2  6 13-  6  7
Curve Equation t 41262l1 [1,0,1,-46,-136] 1 41262l2 [1,0,1,299,416] 1
41262m (4 curves)	0	2+ 3- 13- 23-	2+ 3-  0  4  0 13-  0 -2
Curve Equation t 41262m1 [1,0,1,10304,45327482] 2 41262m2 [1,0,1,-1846486,946984706] 2 41262m3 [1,0,1,-9297451,10911967190] 2 41262m4 [1,0,1,-148763011,698365605542] 2
41262n (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0  2  0 13+  4  2
Curve Equation t Generators 41262n1 [1,1,1,-498858,-176168265] 2 [1225:31835:1] 41262n2 [1,1,1,-8624298,-9751186761] 2 [5457:322427:1]
41262o (1 curve)	1	2- 3+ 13+ 23-	2- 3+  2  3  3 13+ -4 -2
Curve Equation t Generators 41262o1 [1,1,1,407848,272103161] 1 [12509:5804639:343]
41262p (1 curve)	1	2- 3+ 13+ 23-	2- 3+  2 -4  3 13+  3  5
Curve Equation t Generators 41262p1 [1,1,1,-352374317,-2546123872201] 1 [158087687752880444133276012130055720802839801570324084505310388187989820119067:81165886811172332144726122068441126032963276750419626551901385532472447224272022:595480393556928311898533333607277990324942428311443643823362292585587093]
41262q (1 curve)	1	2- 3+ 13+ 23-	2- 3+ -2 -3 -3 13+  4  2
Curve Equation t Generators 41262q1 [1,1,1,771,-22029] 1 [267:4260:1]
41262r (1 curve)	1	2- 3+ 13+ 23-	2- 3+ -2  4 -3 13+ -3 -5
Curve Equation t Generators 41262r1 [1,1,1,-666114,208975107] 1 [721:9845:1]
41262s (2 curves)	1	2- 3+ 13+ 23-	2- 3+  4 -2  0 13+  0 -2
Curve Equation t Generators 41262s1 [1,1,1,23794,-3669829] 2 [26355:397079:125] 41262s2 [1,1,1,-261866,-45947509] 2 [32183515:560934263:42875]
41262t (2 curves)	0	2- 3+ 13- 23-	2- 3+  0  2  4 13-  8  0
Curve Equation t 41262t1 [1,1,1,-419508,-106679883] 2 41262t2 [1,1,1,-6746348,-6747331147] 2
41262u (2 curves)	2	2- 3+ 13- 23-	2- 3+  0 -2 -4 13- -8  0
Curve Equation t Generators 41262u1 [1,1,1,-793,8423] 2 [13:-30:1]&[-7:120:1] 41262u2 [1,1,1,-12753,549015] 2 [-79:1074:1]&[13:614:1]
41262v (2 curves)	0	2- 3- 13+ 23-	2- 3-  0  0  6 13+  6  0
Curve Equation t 41262v1 [1,0,0,-27933,-1797327] 2 41262v2 [1,0,0,-20573,-2764431] 2
41262w (2 curves)	0	2- 3- 13+ 23-	2- 3-  0  0 -6 13+ -6  0
Curve Equation t 41262w1 [1,0,0,-14776568,21838524480] 2 41262w2 [1,0,0,-10883128,33613065728] 2
41262x (4 curves)	1	2- 3- 13- 23-	2- 3-  0 -2 -6 13-  6 -2
Curve Equation t Generators 41262x1 [1,0,0,38077,-62997567] 2 [412:4555:1] 41262x2 [1,0,0,-2162563,-1191045631] 2 [-784:5153:1] 41262x3 [1,0,0,-342803,1704057105] 2 [-876:36939:1] 41262x4 [1,0,0,-23587063,43678541813] 2 [2114:56075:1]
41262y (4 curves)	1	2- 3- 13- 23-	2- 3- -2  4 -4 13- -6  0
Curve Equation t Generators 41262y1 [1,0,0,17446,5181540] 4 [52:2470:1] 41262y2 [1,0,0,-363434,79757844] 4 [3590:19499:8] 41262y3 [1,0,0,-1093454,-341463696] 2 [12133002:-788352291:2744] 41262y4 [1,0,0,-5727494,5275386360] 2 [1332:2508:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations