Cremona's table of elliptic curves

2652 = 2² · 3 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
2652a (2 curves)	0	2- 3+ 13+ 17+	2- 3+ -2  2 -2 13+ 17+  2
Curve Equation t 2652a1 [0,-1,0,-1009,9190] 2 2652a2 [0,-1,0,2636,57304] 2
2652b (2 curves)	1	2- 3+ 13+ 17-	2- 3+  2 -4  2 13+ 17-  2
Curve Equation t Generators 2652b1 [0,-1,0,-157,742] 2 [3:17:1] 2652b2 [0,-1,0,-2452,47560] 2 [30:10:1]
2652c (2 curves)	1	2- 3+ 13- 17+	2- 3+  0  0 -4 13- 17+  2
Curve Equation t Generators 2652c1 [0,-1,0,-33,-54] 2 [-3:3:1] 2652c2 [0,-1,0,52,-360] 2 [14:54:1]
2652d (2 curves)	1	2- 3- 13+ 17+	2- 3- -2  2 -2 13+ 17+ -6
Curve Equation t Generators 2652d1 [0,1,0,-1249,16580] 2 [32:102:1] 2652d2 [0,1,0,-1204,17876] 2 [11:78:1]
2652e (2 curves)	0	2- 3- 13+ 17-	2- 3- -2  0  2 13+ 17- -2
Curve Equation t 2652e1 [0,1,0,-749,7632] 2 2652e2 [0,1,0,-1004,1716] 2
2652f (4 curves)	0	2- 3- 13- 17+	2- 3-  0 -4  0 13- 17+  2
Curve Equation t 2652f1 [0,1,0,-3153,67104] 6 2652f2 [0,1,0,-3068,70980] 6 2652f3 [0,1,0,-4953,-19764] 2 2652f4 [0,1,0,19612,-137676] 2
2652g (2 curves)	1	2- 3- 13- 17-	2- 3-  0 -2  0 13- 17- -6
Curve Equation t Generators 2652g1 [0,1,0,-293,1740] 2 [-3:51:1] 2652g2 [0,1,0,-4628,119652] 2 [48:102:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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