Cremona's table of elliptic curves

12635 = 5 · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
12635a (3 curves)	1	5+ 7- 19-	0 -1 5+ 7- -3 -5  3 19-
Curve Equation t Generators 12635a1 [0,-1,1,-481,-4349] 1 [218:357:8] 12635a2 [0,-1,1,3129,10452] 1 [108:1263:1] 12635a3 [0,-1,1,-47411,4172421] 1 [165:902:1]
12635b (1 curve)	1	5+ 7- 19-	1  1 5+ 7-  4  0 -1 19-
Curve Equation t Generators 12635b1 [1,0,1,23096,-1586069] 1 [125:1742:1]
12635c (4 curves)	1	5- 7+ 19-	-1  0 5- 7+ -4  2  2 19-
Curve Equation t Generators 12635c1 [1,-1,1,-5122,142104] 4 [108628:140096:2197] 12635c2 [1,-1,1,-6927,34526] 4 [126:1009:1] 12635c3 [1,-1,1,-70102,-7091614] 2 [10983:146218:27] 12635c4 [1,-1,1,27368,254014] 2 [52:1321:1]
12635d (1 curve)	1	5- 7- 19+	2  2 5- 7- -5  0 -4 19+
Curve Equation t Generators 12635d1 [0,-1,1,-43440,602131] 1 [2650:37901:8]
12635e (1 curve)	1	5- 7- 19+	-2  0 5- 7-  3  0  0 19+
Curve Equation t Generators 12635e1 [0,0,1,-6137,184922] 1 [152:1662:1]
12635f (1 curve)	0	5- 7- 19-	-1  1 5- 7-  0  4 -3 19-
Curve Equation t 12635f1 [1,0,0,-910,-13643] 1
12635g (1 curve)	0	5- 7- 19-	2  0 5- 7-  3  0  0 19-
Curve Equation t 12635g1 [0,0,1,-2215457,-1268381713] 1
12635h (2 curves)	0	5- 7- 19-	2  1 5- 7- -3  1  3 19-
Curve Equation t 12635h1 [0,1,1,-75930,-46173869] 1 12635h2 [0,1,1,-6014380,7454518071] 1
12635i (1 curve)	0	5- 7- 19-	2 -3 5- 7- -3 -3  3 19-
Curve Equation t 12635i1 [0,0,1,-35017,2522397] 1
12635j (1 curve)	2	5- 7- 19-	-2 -2 5- 7- -5  0 -4 19-
Curve Equation t Generators 12635j1 [0,1,1,-120,-126] 1 [-9:17:1]&[-7:20:1]

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

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