Cremona's table of elliptic curves

5642 = 2 · 7 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
5642a (1 curve)	1	2+ 7+ 13+ 31+	2+ -1 -1 7+  2 13+ -2  2
Curve Equation t Generators 5642a1 [1,1,0,32,74] 1 [-1:7:1]
5642b (2 curves)	1	2+ 7+ 13+ 31+	2+  2  2 7+ -4 13+  4 -4
Curve Equation t Generators 5642b1 [1,1,0,-3549,88445] 2 [218:3011:1] 5642b2 [1,1,0,-58429,5411805] 2 [6915:69635:27]
5642c (1 curve)	1	2+ 7+ 13+ 31+	2+ -3  3 7+ -2 13+  2 -6
Curve Equation t Generators 5642c1 [1,-1,0,-133,4477] 1 [107:1045:1]
5642d (1 curve)	0	2+ 7+ 13- 31+	2+  1 -1 7+ -6 13- -6  2
Curve Equation t 5642d1 [1,0,1,-3294,-124080] 1
5642e (2 curves)	0	2+ 7- 13+ 31+	2+  0  0 7-  4 13+  2  8
Curve Equation t 5642e1 [1,-1,0,-4327,110637] 2 5642e2 [1,-1,0,-4067,124313] 2
5642f (1 curve)	1	2+ 7- 13+ 31-	2+  1  1 7- -2 13+ -6  6
Curve Equation t Generators 5642f1 [1,0,1,-183,-966] 1 [48:294:1]
5642g (2 curves)	0	2+ 7- 13- 31-	2+  0  4 7-  4 13-  6 -4
Curve Equation t 5642g1 [1,-1,0,-9745,-349347] 2 5642g2 [1,-1,0,6895,-1430947] 2

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

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