Cremona's table of elliptic curves

72864 = 2⁵ · 3² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
72864a (2 curves)	1	2+ 3+ 11+ 23+	2+ 3+ -2  2 11+ -2 -6  2
Curve Equation t Generators 72864a1 [0,0,0,-439101,111991680] 2 [1059:28890:1] 72864a2 [0,0,0,-455436,103209984] 2 [582:5940:1]
72864b (2 curves)	0	2+ 3+ 11+ 23-	2+ 3+  2 -4 11+  6 -6 -4
Curve Equation t 72864b1 [0,0,0,-729,-7020] 2 72864b2 [0,0,0,756,-31968] 2
72864c (2 curves)	0	2+ 3+ 11+ 23-	2+ 3+ -2  4 11+  6  6  4
Curve Equation t 72864c1 [0,0,0,-81,-260] 2 72864c2 [0,0,0,84,-1184] 2
72864d (1 curve)	0	2+ 3+ 11+ 23-	2+ 3+  4  3 11+ -5  6 -8
Curve Equation t 72864d1 [0,0,0,-3,-90] 1
72864e (1 curve)	0	2+ 3+ 11- 23+	2+ 3+  4 -3 11- -5  6  8
Curve Equation t 72864e1 [0,0,0,-3,90] 1
72864f (2 curves)	1	2+ 3+ 11- 23-	2+ 3+ -2 -2 11- -2 -6 -2
Curve Equation t Generators 72864f1 [0,0,0,-439101,-111991680] 2 [-383:46:1] 72864f2 [0,0,0,-455436,-103209984] 2 [-474:2484:1]
72864g (1 curve)	0	2+ 3- 11+ 23+	2+ 3-  3 -3 11+  1  3 -4
Curve Equation t 72864g1 [0,0,0,-6051,63398] 1
72864h (1 curve)	1	2+ 3- 11+ 23-	2+ 3-  1 -1 11+  5  5  2
Curve Equation t Generators 72864h1 [0,0,0,-147,-502] 1 [-46:99:8]
72864i (1 curve)	1	2+ 3- 11+ 23-	2+ 3- -1  3 11+  3  1 -6
Curve Equation t Generators 72864i1 [0,0,0,-5283,88614] 1 [-63:414:1]
72864j (4 curves)	1	2+ 3- 11+ 23-	2+ 3- -2  0 11+ -2 -6  4
Curve Equation t Generators 72864j1 [0,0,0,-1521,22680] 4 [-12:198:1] 72864j2 [0,0,0,-531,51786] 2 [-6:234:1] 72864j3 [0,0,0,-2556,-12096] 2 [96:792:1] 72864j4 [0,0,0,-24291,1457190] 2 [126:630:1]
72864k (2 curves)	1	2+ 3- 11+ 23-	2+ 3-  4 -2 11+ -6  0 -2
Curve Equation t Generators 72864k1 [0,0,0,-25653,-10906220] 2 [22080422350:-454696845219:42875000] 72864k2 [0,0,0,-911388,-333313760] 2 [-191485:419175:343]
72864l (1 curve)	1	2+ 3- 11- 23+	2+ 3-  1  1 11-  5  5 -2
Curve Equation t Generators 72864l1 [0,0,0,-147,502] 1 [17:54:1]
72864m (1 curve)	1	2+ 3- 11- 23+	2+ 3- -1 -3 11-  3  1  6
Curve Equation t Generators 72864m1 [0,0,0,-5283,-88614] 1 [-54:198:1]
72864n (4 curves)	1	2+ 3- 11- 23+	2+ 3- -2  0 11- -2 -6 -4
Curve Equation t Generators 72864n1 [0,0,0,-1521,-22680] 4 [51:180:1] 72864n2 [0,0,0,-531,-51786] 2 [386:1495:8] 72864n3 [0,0,0,-2556,12096] 2 [-51:99:1] 72864n4 [0,0,0,-24291,-1457190] 2 [810:22590:1]
72864o (2 curves)	0	2+ 3- 11- 23-	2+ 3-  2  0 11-  2  4  8
Curve Equation t 72864o1 [0,0,0,-489,8260] 2 72864o2 [0,0,0,-9804,373408] 2
72864p (1 curve)	0	2+ 3- 11- 23-	2+ 3-  3  3 11-  1  3  4
Curve Equation t 72864p1 [0,0,0,-6051,-63398] 1
72864q (2 curves)	0	2- 3+ 11+ 23+	2- 3+  2 -2 11+ -2  6 -2
Curve Equation t 72864q1 [0,0,0,-48789,4147840] 2 72864q2 [0,0,0,-50604,3822592] 2
72864r (1 curve)	1	2- 3+ 11+ 23-	2- 3+ -4 -3 11+ -5 -6  8
Curve Equation t Generators 72864r1 [0,0,0,-27,-2430] 1 [18:54:1]
72864s (2 curves)	1	2- 3+ 11- 23+	2- 3+  2  4 11-  6 -6  4
Curve Equation t Generators 72864s1 [0,0,0,-729,7020] 2 [255:4050:1] 72864s2 [0,0,0,756,31968] 2 [6852:109900:27]
72864t (2 curves)	1	2- 3+ 11- 23+	2- 3+ -2 -4 11-  6  6 -4
Curve Equation t Generators 72864t1 [0,0,0,-81,260] 2 [-7:22:1] 72864t2 [0,0,0,84,1184] 2 [-4:28:1]
72864u (1 curve)	1	2- 3+ 11- 23+	2- 3+ -4  3 11- -5 -6 -8
Curve Equation t Generators 72864u1 [0,0,0,-27,2430] 1 [9:-54:1]
72864v (2 curves)	0	2- 3+ 11- 23-	2- 3+  2  2 11- -2  6  2
Curve Equation t 72864v1 [0,0,0,-48789,-4147840] 2 72864v2 [0,0,0,-50604,-3822592] 2
72864w (2 curves)	1	2- 3- 11+ 23+	2- 3-  0  4 11+ -2 -6  4
Curve Equation t Generators 72864w1 [0,0,0,-3045,64672] 2 [44:126:1] 72864w2 [0,0,0,-3180,58624] 2 [5:207:1]
72864x (1 curve)	1	2- 3- 11+ 23+	2- 3- -1  1 11+ -5 -3 -2
Curve Equation t Generators 72864x1 [0,0,0,-3380763,-1650835874] 1 [208385:95122386:1]
72864y (1 curve)	1	2- 3- 11+ 23+	2- 3- -1 -1 11+  3  5  8
Curve Equation t Generators 72864y1 [0,0,0,-2665083,1538591294] 1 [15699:367802:27]
72864z (2 curves)	1	2- 3- 11+ 23+	2- 3-  2  0 11+  2  4 -8
Curve Equation t Generators 72864z1 [0,0,0,-489,-8260] 2 [703:18630:1] 72864z2 [0,0,0,-9804,-373408] 2 [88220:2319228:125]
72864ba (1 curve)	1	2- 3- 11+ 23+	2- 3- -3  5 11+ -3  5 -6
Curve Equation t Generators 72864ba1 [0,0,0,-1659,25666] 1 [14:72:1]
72864bb (1 curve)	0	2- 3- 11+ 23-	2- 3-  2  1 11+ -1 -2  4
Curve Equation t 72864bb1 [0,0,0,-1659,-70562] 1
72864bc (2 curves)	0	2- 3- 11+ 23-	2- 3-  2 -2 11+  6 -4 -2
Curve Equation t 72864bc1 [0,0,0,11211,-391520] 2 72864bc2 [0,0,0,-60204,-3590912] 2
72864bd (1 curve)	0	2- 3- 11- 23+	2- 3-  2 -1 11- -1 -2 -4
Curve Equation t 72864bd1 [0,0,0,-1659,70562] 1
72864be (2 curves)	0	2- 3- 11- 23+	2- 3-  2  2 11-  6 -4  2
Curve Equation t 72864be1 [0,0,0,11211,391520] 2 72864be2 [0,0,0,-60204,3590912] 2
72864bf (2 curves)	0	2- 3- 11- 23+	2- 3-  4  2 11- -6  0  2
Curve Equation t 72864bf1 [0,0,0,-25653,10906220] 2 72864bf2 [0,0,0,-911388,333313760] 2
72864bg (2 curves)	1	2- 3- 11- 23-	2- 3-  0 -4 11- -2 -6 -4
Curve Equation t Generators 72864bg1 [0,0,0,-3045,-64672] 2 [76:378:1] 72864bg2 [0,0,0,-3180,-58624] 2 [-35:99:1]
72864bh (1 curve)	1	2- 3- 11- 23-	2- 3- -1  1 11-  3  5 -8
Curve Equation t Generators 72864bh1 [0,0,0,-2665083,-1538591294] 1 [-802:9108:1]
72864bi (1 curve)	1	2- 3- 11- 23-	2- 3- -1 -1 11- -5 -3  2
Curve Equation t Generators 72864bi1 [0,0,0,-3380763,1650835874] 1 [1106:-275517:8]
72864bj (1 curve)	1	2- 3- 11- 23-	2- 3- -3 -5 11- -3  5  6
Curve Equation t Generators 72864bj1 [0,0,0,-1659,-25666] 1 [-23:18:1]

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