Cremona's table of elliptic curves

15642 = 2 · 3² · 11 · 79

Class	r	Atkin-Lehner	Eigenvalues
15642a (2 curves)	0	2+ 3+ 11+ 79-	2+ 3+ -2  4 11+  4  2 -2
Curve Equation t 15642a1 [1,-1,0,-38328,2897216] 2 15642a2 [1,-1,0,-34008,3572000] 2
15642b (1 curve)	0	2+ 3+ 11- 79+	2+ 3+  3  4 11-  1  2  7
Curve Equation t 15642b1 [1,-1,0,12,278] 1
15642c (2 curves)	0	2+ 3- 11+ 79+	2+ 3-  2 -4 11+  2 -4  0
Curve Equation t 15642c1 [1,-1,0,144,-36608] 2 15642c2 [1,-1,0,-15696,-736736] 2
15642d (1 curve)	1	2+ 3- 11- 79+	2+ 3- -3  0 11-  5 -2  7
Curve Equation t Generators 15642d1 [1,-1,0,-711,8221] 1 [11:35:1]
15642e (1 curve)	0	2- 3+ 11+ 79+	2- 3+ -3  4 11+  1 -2  7
Curve Equation t 15642e1 [1,-1,1,1,-11] 1
15642f (2 curves)	0	2- 3+ 11- 79-	2- 3+  2  4 11-  4 -2 -2
Curve Equation t 15642f1 [1,-1,1,-4259,-105885] 2 15642f2 [1,-1,1,-3779,-131037] 2
15642g (1 curve)	1	2- 3- 11+ 79+	2- 3- -3  1 11+  1  4 -2
Curve Equation t Generators 15642g1 [1,-1,1,-201134,34651837] 1 [185:1843:1]
15642h (2 curves)	0	2- 3- 11+ 79-	2- 3- -2  4 11+  6  0 -4
Curve Equation t 15642h1 [1,-1,1,-4091,-110869] 2 15642h2 [1,-1,1,-67451,-6725653] 2
15642i (1 curve)	1	2- 3- 11- 79-	2- 3- -1  1 11-  5 -8  0
Curve Equation t Generators 15642i1 [1,-1,1,-1894502693,-31738359336227] 1 [-25129:12608:1]
15642j (1 curve)	1	2- 3- 11- 79-	2- 3-  3 -3 11- -3  0 -4
Curve Equation t Generators 15642j1 [1,-1,1,-131,-237] 1 [-3:12:1]

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

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