Cremona's table of elliptic curves

960 = 2⁶ · 3 · 5

Class	r	Atkin-Lehner	Eigenvalues
960a (4 curves)	1	2+ 3+ 5+	2+ 3+ 5+  0  0 -2  6 -4
Curve Equation t Generators 960a1 [0,-1,0,4,6] 2 [3:6:1] 960a2 [0,-1,0,-41,105] 4 [-1:12:1] 960a3 [0,-1,0,-161,-639] 2 [-5:4:1] 960a4 [0,-1,0,-641,6465] 2 [16:7:1]
960b (6 curves)	1	2+ 3+ 5+	2+ 3+ 5+  0  4 -6 -6  4
Curve Equation t Generators 960b1 [0,-1,0,-61,205] 2 [1:12:1] 960b2 [0,-1,0,-81,81] 4 [-7:16:1] 960b3 [0,-1,0,-801,-8415] 4 [-16:7:1] 960b4 [0,-1,0,319,321] 2 [3:36:1] 960b5 [0,-1,0,-12801,-553215] 2 [131:28:1] 960b6 [0,-1,0,-321,-18879] 2 [80:679:1]
960c (4 curves)	0	2+ 3+ 5-	2+ 3+ 5-  4  0  6 -2 -4
Curve Equation t 960c1 [0,-1,0,15,-15] 2 960c2 [0,-1,0,-65,-63] 4 960c3 [0,-1,0,-865,-9503] 2 960c4 [0,-1,0,-545,5025] 4
960d (4 curves)	0	2+ 3+ 5-	2+ 3+ 5-  4  4 -6  2  4
Curve Equation t 960d1 [0,-1,0,-900,-10098] 2 960d2 [0,-1,0,-905,-9975] 4 960d3 [0,-1,0,-1985,19617] 4 960d4 [0,-1,0,95,-31775] 2
960e (8 curves)	0	2+ 3+ 5-	2+ 3+ 5- -4  0 -2  6  4
Curve Equation t 960e1 [0,-1,0,95,1057] 2 960e2 [0,-1,0,-1185,14625] 4 960e3 [0,-1,0,-865,-31775] 2 960e4 [0,-1,0,-4385,-94815] 2 960e5 [0,-1,0,-18465,971937] 4 960e6 [0,-1,0,-21345,-1190943] 4 960e7 [0,-1,0,-341345,-76646943] 2 960e8 [0,-1,0,-29025,-249375] 4
960f (4 curves)	0	2+ 3- 5+	2+ 3- 5+  0  0 -2  6  4
Curve Equation t 960f1 [0,1,0,4,-6] 2 960f2 [0,1,0,-41,-105] 4 960f3 [0,1,0,-641,-6465] 2 960f4 [0,1,0,-161,639] 2
960g (8 curves)	0	2+ 3- 5+	2+ 3- 5+  0  4  2  2 -4
Curve Equation t 960g1 [0,1,0,-1,95] 2 960g2 [0,1,0,-321,2079] 4 960g3 [0,1,0,-641,-3105] 4 960g4 [0,1,0,-5121,139359] 2 960g5 [0,1,0,-8641,-311905] 4 960g6 [0,1,0,2239,-20961] 2 960g7 [0,1,0,-138241,-19829665] 2 960g8 [0,1,0,-7041,-429345] 2
960h (4 curves)	1	2+ 3- 5-	2+ 3- 5- -4 -4 -6  2 -4
Curve Equation t Generators 960h1 [0,1,0,-900,10098] 2 [21:30:1] 960h2 [0,1,0,-905,9975] 4 [55:-360:1] 960h3 [0,1,0,-1985,-19617] 2 [-29:120:1] 960h4 [0,1,0,95,31775] 4 [-25:120:1]
960i (8 curves)	0	2- 3+ 5+	2- 3+ 5+  0 -4  2  2  4
Curve Equation t 960i1 [0,-1,0,-1,-95] 2 960i2 [0,-1,0,-321,-2079] 4 960i3 [0,-1,0,-5121,-139359] 2 960i4 [0,-1,0,-641,3105] 4 960i5 [0,-1,0,-8641,311905] 4 960i6 [0,-1,0,2239,20961] 2 960i7 [0,-1,0,-138241,19829665] 2 960i8 [0,-1,0,-7041,429345] 2
960j (4 curves)	0	2- 3+ 5+	2- 3+ 5+  4  0  2 -6  0
Curve Equation t 960j1 [0,-1,0,4,-30] 2 960j2 [0,-1,0,-121,-455] 4 960j3 [0,-1,0,-1921,-31775] 2 960j4 [0,-1,0,-321,1665] 2
960k (4 curves)	1	2- 3+ 5-	2- 3+ 5-  0 -4 -2 -2 -8
Curve Equation t Generators 960k1 [0,-1,0,-20,42] 2 [7:14:1] 960k2 [0,-1,0,-25,25] 4 [-3:8:1] 960k3 [0,-1,0,-225,-1215] 2 [-8:3:1] 960k4 [0,-1,0,95,97] 4 [3:20:1]
960l (6 curves)	1	2- 3- 5+	2- 3- 5+  0 -4 -6 -6 -4
Curve Equation t Generators 960l1 [0,1,0,-61,-205] 2 [11:24:1] 960l2 [0,1,0,-81,-81] 4 [-6:15:1] 960l3 [0,1,0,-801,8415] 4 [-1:96:1] 960l4 [0,1,0,319,-321] 2 [7:48:1] 960l5 [0,1,0,-12801,553215] 2 [47:240:1] 960l6 [0,1,0,-321,18879] 2 [5:132:1]
960m (4 curves)	1	2- 3- 5+	2- 3- 5+ -4  0  2 -6  0
Curve Equation t Generators 960m1 [0,1,0,4,30] 2 [1:6:1] 960m2 [0,1,0,-121,455] 4 [-1:24:1] 960m3 [0,1,0,-321,-1665] 2 [-9:24:1] 960m4 [0,1,0,-1921,31775] 2 [26:9:1]
960n (4 curves)	0	2- 3- 5-	2- 3- 5-  0  4 -2 -2  8
Curve Equation t 960n1 [0,1,0,-20,-42] 2 960n2 [0,1,0,-25,-25] 4 960n3 [0,1,0,-225,1215] 4 960n4 [0,1,0,95,-97] 2
960o (8 curves)	0	2- 3- 5-	2- 3- 5-  4  0 -2  6 -4
Curve Equation t 960o1 [0,1,0,95,-1057] 2 960o2 [0,1,0,-1185,-14625] 4 960o3 [0,1,0,-865,31775] 2 960o4 [0,1,0,-18465,-971937] 2 960o5 [0,1,0,-4385,94815] 4 960o6 [0,1,0,-21345,1190943] 4 960o7 [0,1,0,-29025,249375] 2 960o8 [0,1,0,-341345,76646943] 4
960p (4 curves)	0	2- 3- 5-	2- 3- 5- -4  0  6 -2  4
Curve Equation t 960p1 [0,1,0,15,15] 2 960p2 [0,1,0,-65,63] 4 960p3 [0,1,0,-545,-5025] 2 960p4 [0,1,0,-865,9503] 4

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