Cremona's table of elliptic curves

80910 = 2 · 3² · 5 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
80910a (2 curves)	0	2+ 3+ 5+ 29- 31+	2+ 3+ 5+  0  0  0  4  6
Curve Equation t 80910a1 [1,-1,0,-11490,458900] 2 80910a2 [1,-1,0,5790,1706516] 2
80910b (1 curve)	2	2+ 3+ 5- 29+ 31+	2+ 3+ 5-  1  1 -6 -4 -3
Curve Equation t Generators 80910b1 [1,-1,0,-1509,28015] 1 [21:-83:1]&[-122:1801:8]
80910c (2 curves)	0	2+ 3+ 5- 29+ 31+	2+ 3+ 5-  4  4 -2 -8  4
Curve Equation t 80910c1 [1,-1,0,-1828509,952123013] 2 80910c2 [1,-1,0,-1759389,1027367045] 2
80910d (2 curves)	1	2+ 3+ 5- 29- 31+	2+ 3+ 5- -2 -4 -2  2  4
Curve Equation t Generators 80910d1 [1,-1,0,-474,1780] 2 [-9:77:1] 80910d2 [1,-1,0,-3954,-93572] 2 [-33:29:1]
80910e (2 curves)	0	2+ 3+ 5- 29- 31-	2+ 3+ 5-  2  2  4  2  4
Curve Equation t 80910e1 [1,-1,0,-1659,-40175] 2 80910e2 [1,-1,0,-30489,-2040977] 2
80910f (1 curve)	1	2+ 3- 5+ 29- 31+	2+ 3- 5+ -4 -5  4  2  7
Curve Equation t Generators 80910f1 [1,-1,0,45,-19575] 1 [120:-1365:1]
80910g (1 curve)	0	2+ 3- 5+ 29- 31-	2+ 3- 5+ -1  1 -4 -2 -5
Curve Equation t 80910g1 [1,-1,0,-37215,-397041075] 1
80910h (2 curves)	1	2+ 3- 5- 29+ 31+	2+ 3- 5-  0 -4  4  6 -2
Curve Equation t Generators 80910h1 [1,-1,0,-24669,-1466447] 2 [518:10901:1] 80910h2 [1,-1,0,-2799,-3990245] 2 [25044:460903:64]
80910i (1 curve)	0	2+ 3- 5- 29+ 31-	2+ 3- 5-  0 -1 -4  6  5
Curve Equation t 80910i1 [1,-1,0,-60219,-6248475] 1
80910j (2 curves)	0	2- 3+ 5+ 29+ 31+	2- 3+ 5+ -2  4 -2 -2  4
Curve Equation t 80910j1 [1,-1,1,-4268,-43793] 2 80910j2 [1,-1,1,-35588,2562031] 2
80910k (2 curves)	1	2- 3+ 5+ 29+ 31-	2- 3+ 5+  2 -2  4 -2  4
Curve Equation t Generators 80910k1 [1,-1,1,-14933,1099657] 2 [1846:24245:8] 80910k2 [1,-1,1,-274403,55380781] 2 [100040:1502359:512]
80910l (1 curve)	1	2- 3+ 5+ 29- 31+	2- 3+ 5+  1 -1 -6  4 -3
Curve Equation t Generators 80910l1 [1,-1,1,-13583,-742823] 1 [2924474:93373351:2744]
80910m (2 curves)	1	2- 3+ 5+ 29- 31+	2- 3+ 5+  4 -4 -2  8  4
Curve Equation t Generators 80910m1 [1,-1,1,-203168,-35196093] 2 [525:1361:1] 80910m2 [1,-1,1,-195488,-37985469] 2 [1193:37161:1]
80910n (2 curves)	1	2- 3+ 5- 29+ 31+	2- 3+ 5-  0  0  0 -4  6
Curve Equation t Generators 80910n1 [1,-1,1,-1277,-16571] 2 [-23:26:1] 80910n2 [1,-1,1,643,-63419] 2 [71:-616:1]
80910o (1 curve)	1	2- 3- 5+ 29+ 31+	2- 3- 5+  0 -3  0  2 -1
Curve Equation t Generators 80910o1 [1,-1,1,-700268,-580778769] 1 [1205:17397:1]
80910p (1 curve)	1	2- 3- 5+ 29+ 31+	2- 3- 5+  1 -1  4  2  7
Curve Equation t Generators 80910p1 [1,-1,1,382,-3679] 1 [13:51:1]
80910q (4 curves)	1	2- 3- 5+ 29+ 31+	2- 3- 5+  4 -4 -2  2  4
Curve Equation t Generators 80910q1 [1,-1,1,-146966198,-685726655803] 2 [108927:35662837:1] 80910q2 [1,-1,1,-146977718,-685613769019] 4 [292536474189:95776776169039:2685619] 80910q3 [1,-1,1,-126912038,-879544553083] 2 [70714097547510739371:-23236906642371380942089:649394402298173] 80910q4 [1,-1,1,-167227718,-484458369019] 2 [131538087316230428183:-12217552313020632086515:6996474674112581]
80910r (4 curves)	1	2- 3- 5+ 29+ 31+	2- 3- 5+ -4 -4  2  6 -4
Curve Equation t Generators 80910r1 [1,-1,1,8782,-1757519] 2 [161:1871:1] 80910r2 [1,-1,1,-175538,-26677583] 4 [-263:1247:1] 80910r3 [1,-1,1,-535538,118186417] 2 [785:13063:1] 80910r4 [1,-1,1,-2764658,-1768637519] 2 [-959:551:1]
80910s (2 curves)	0	2- 3- 5+ 29+ 31-	2- 3- 5+  2  4  2  0  4
Curve Equation t 80910s1 [1,-1,1,-154283,21404027] 2 80910s2 [1,-1,1,179797,101182331] 2
80910t (1 curve)	2	2- 3- 5+ 29+ 31-	2- 3- 5+ -3 -3  0 -6 -5
Curve Equation t Generators 80910t1 [1,-1,1,-195998,33447597] 1 [197:1467:1]&[-235:8271:1]
80910u (2 curves)	1	2- 3- 5- 29+ 31-	2- 3- 5-  0  0  0  0  4
Curve Equation t Generators 80910u1 [1,-1,1,3388,71511] 2 [-1:261:1] 80910u2 [1,-1,1,-19112,683511] 2 [-31:1131:1]
80910v (4 curves)	1	2- 3- 5- 29- 31+	2- 3- 5-  4  0 -6  2 -4
Curve Equation t Generators 80910v1 [1,-1,1,310113103,4038680025569] 4 [2647:2207316:1] 80910v2 [1,-1,1,-2709785777,45883606866401] 4 [3131793:1603688332:343] 80910v3 [1,-1,1,-12274887857,-479779969082911] 2 [-55853:5646676:1] 80910v4 [1,-1,1,-41463065777,3249586261842401] 2 [42124033:-1092346548:343]
80910w (2 curves)	0	2- 3- 5- 29- 31-	2- 3- 5- -1  3 -4 -6 -1
Curve Equation t 80910w1 [1,-1,1,-668507,-442466611] 1 80910w2 [1,-1,1,5772208,9467149691] 3
80910x (1 curve)	0	2- 3- 5- 29- 31-	2- 3- 5-  4  1  0 -2  5
Curve Equation t 80910x1 [1,-1,1,196798,6053829] 1
80910y (1 curve)	0	2- 3- 5- 29- 31-	2- 3- 5-  4 -2  6  4 -1
Curve Equation t 80910y1 [1,-1,1,958,-29631] 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