Cremona's table of elliptic curves

16653 = 3 · 7 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
16653a (2 curves)	2	3+ 7+ 13+ 61-	1 3+  0 7+ -4 13+  0 -6
Curve Equation t Generators 16653a1 [1,1,0,-65,-72] 2 [-8:8:1]&[-4:14:1] 16653a2 [1,1,0,-800,-9039] 2 [64:423:1]&[120:1221:1]
16653b (1 curve)	2	3+ 7+ 13+ 61-	-2 3+ -3 7+  2 13+  0 -3
Curve Equation t Generators 16653b1 [0,-1,1,-40082,3105170] 1 [-222:1006:1]&[-100:2470:1]
16653c (2 curves)	2	3+ 7+ 13- 61+	-1 3+  0 7+ -4 13-  0 -4
Curve Equation t Generators 16653c1 [1,1,1,-2743,54092] 2 [-46:315:1]&[-20:328:1] 16653c2 [1,1,1,-2008,84668] 2 [-17:346:1]&[22:216:1]
16653d (1 curve)	1	3+ 7- 13- 61+	0 3+ -3 7-  4 13-  0 -3
Curve Equation t Generators 16653d1 [0,-1,1,-265517,52749320] 1 [272:760:1]
16653e (1 curve)	1	3+ 7- 13- 61+	-2 3+  2 7- -2 13-  5  6
Curve Equation t Generators 16653e1 [0,-1,1,-25942,-1660602] 1 [283:3685:1]
16653f (4 curves)	0	3+ 7- 13- 61-	1 3+  2 7-  4 13- -2 -4
Curve Equation t 16653f1 [1,1,0,131,568] 2 16653f2 [1,1,0,-714,4455] 4 16653f3 [1,1,0,-4679,-121632] 2 16653f4 [1,1,0,-10269,396210] 2
16653g (4 curves)	0	3+ 7- 13- 61-	-1 3+ -2 7-  4 13-  2  0
Curve Equation t 16653g1 [1,1,1,-949,-5998] 4 16653g2 [1,1,1,-12954,-572634] 4 16653g3 [1,1,1,-207239,-36398788] 2 16653g4 [1,1,1,-10749,-771084] 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
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