Cremona's table of elliptic curves

51660 = 2² · 3² · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
51660a (2 curves)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+  2  4  2  4
Curve Equation t Generators 51660a1 [0,0,0,-9288,-336663] 2 [-53:82:1] 51660a2 [0,0,0,-147663,-21840138] 2 [534:7182:1]
51660b (2 curves)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+ -2  4 -2  4
Curve Equation t Generators 51660b1 [0,0,0,-1032,12469] 2 [23:30:1] 51660b2 [0,0,0,-16407,808894] 2 [158:1470:1]
51660c (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  3  3 -1  6
Curve Equation t Generators 51660c1 [0,0,0,-103368,12792292] 1 [168:410:1]
51660d (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  0 -2  4  4
Curve Equation t 51660d1 [0,0,0,-2568,-50083] 2 51660d2 [0,0,0,-2343,-59218] 2
51660e (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  4 -2  0  0
Curve Equation t 51660e1 [0,0,0,-2208,35093] 2 51660e2 [0,0,0,3417,184718] 2
51660f (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+ -6  4 -2  2
Curve Equation t 51660f1 [0,0,0,-11621928,-15089366927] 2 51660f2 [0,0,0,-2166303,-38930779802] 2
51660g (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -3  0  5 -6
Curve Equation t 51660g1 [0,0,0,-178509288,918588894788] 1
51660h (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2  2 -2 -6
Curve Equation t Generators 51660h1 [0,0,0,-468,1377] 2 [-18:63:1] 51660h2 [0,0,0,1737,10638] 2 [3:126:1]
51660i (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -2  0 -6 -2
Curve Equation t Generators 51660i1 [0,0,0,-96528,11132777] 2 [232:1107:1] 51660i2 [0,0,0,44097,40860902] 2 [67:6642:1]
51660j (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  3 -4  3  2
Curve Equation t Generators 51660j1 [0,0,0,5352,-586028] 1 [221:3375:1] 51660j2 [0,0,0,-48648,16726372] 3 [176:-3690:1]
51660k (2 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  2 -4  2 -6
Curve Equation t 51660k1 [0,0,0,-224832,39047969] 2 51660k2 [0,0,0,153393,157129814] 2
51660l (1 curve)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  4  0  2  1
Curve Equation t 51660l1 [0,0,0,52368,-11243356] 1
51660m (2 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+ -4  4  0 -4
Curve Equation t 51660m1 [0,0,0,-612,-4779] 2 51660m2 [0,0,0,1233,-28026] 2
51660n (2 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  0  0  2  0
Curve Equation t Generators 51660n1 [0,0,0,-1452,20729] 2 [-22:205:1] 51660n2 [0,0,0,393,69806] 2 [7:-270:1]
51660o (2 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  0  2 -6 -4
Curve Equation t Generators 51660o1 [0,0,0,-552,4741] 2 [-25:54:1] 51660o2 [0,0,0,393,19294] 2 [798:22550:1]
51660p (2 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  0 -2 -2 -4
Curve Equation t Generators 51660p1 [0,0,0,-15312,729241] 2 [62:135:1] 51660p2 [0,0,0,-14367,823174] 2 [63:-410:1]
51660q (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  0  4  6  0
Curve Equation t 51660q1 [0,0,0,-3189252,2192206021] 2 51660q2 [0,0,0,-3187407,2194869094] 2
51660r (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  0 -4  0  5
Curve Equation t 51660r1 [0,0,0,-552,-7436] 1 51660r2 [0,0,0,4488,112516] 3
51660s (4 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  0 -4 -6  8
Curve Equation t 51660s1 [0,0,0,-694452,-222746771] 2 51660s2 [0,0,0,-692607,-223989194] 2 51660s3 [0,0,0,-777612,-166064159] 6 51660s4 [0,0,0,2323833,-1160387426] 6

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