Cremona's table of elliptic curves

8690 = 2 · 5 · 11 · 79

Class	r	Atkin-Lehner	Eigenvalues
8690a (2 curves)	0	2+ 5+ 11+ 79-	2+  2 5+  4 11+  6 -4 -4
Curve Equation t 8690a1 [1,1,0,27,-67] 2 8690a2 [1,1,0,-193,-903] 2
8690b (1 curve)	1	2+ 5- 11+ 79-	2+ -2 5-  1 11+ -5 -2 -5
Curve Equation t Generators 8690b1 [1,0,1,-303,2006] 1 [5:22:1]
8690c (1 curve)	1	2+ 5- 11- 79+	2+ -1 5- -3 11-  4 -5 -1
Curve Equation t Generators 8690c1 [1,1,0,-1507,21989] 1 [43:176:1]
8690d (2 curves)	1	2+ 5- 11- 79+	2+  2 5- -2 11-  6  0 -4
Curve Equation t Generators 8690d1 [1,1,0,-227,-6259] 2 [12882:275159:27] 8690d2 [1,1,0,-6627,-209779] 2 [1910:82469:1]
8690e (1 curve)	1	2+ 5- 11- 79+	2+  2 5-  3 11- -5 -2  5
Curve Equation t Generators 8690e1 [1,1,0,378,1364] 1 [20:122:1]
8690f (2 curves)	0	2- 5+ 11- 79-	2-  1 5+ -1 11- -4 -3 -1
Curve Equation t 8690f1 [1,0,0,-109275091,439663977121] 3 8690f2 [1,0,0,-107381331,455637600545] 1
8690g (4 curves)	0	2- 5- 11+ 79-	2- -2 5-  2 11+  2 -6  8
Curve Equation t 8690g1 [1,0,0,-3665,85225] 6 8690g2 [1,0,0,-58665,5464225] 6 8690g3 [1,0,0,5835,416125] 2 8690g4 [1,0,0,-60715,5061315] 2
8690h (4 curves)	0	2- 5- 11- 79+	2-  0 5-  0 11-  6 -2  4
Curve Equation t 8690h1 [1,-1,1,383,-20591] 4 8690h2 [1,-1,1,-9297,-326479] 4 8690h3 [1,-1,1,-146797,-21611479] 2 8690h4 [1,-1,1,-26677,1265529] 2
8690i (2 curves)	0	2- 5- 11- 79+	2-  2 5-  0 11- -6  2  8
Curve Equation t 8690i1 [1,1,1,-40145,5957707] 2 8690i2 [1,1,1,-796395,273065207] 2
8690j (2 curves)	0	2- 5- 11- 79+	2-  2 5-  4 11-  2 -2  0
Curve Equation t 8690j1 [1,1,1,-32265,-2244553] 2 8690j2 [1,1,1,-516265,-142991753] 2

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

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