Cremona's table of elliptic curves

51667 = 7 · 11² · 61

Class	r	Atkin-Lehner	Eigenvalues
51667a (1 curve)	0	7+ 11- 61+	0 -2  2 7+ 11-  0 -6 -4
Curve Equation t 51667a1 [0,1,1,-887,17463] 1
51667b (4 curves)	0	7+ 11- 61+	-1  0 -2 7+ 11-  2  6 -4
Curve Equation t 51667b1 [1,-1,1,-11881,-495448] 2 51667b2 [1,-1,1,-12486,-441724] 4 51667b3 [1,-1,1,24419,-2582214] 2 51667b4 [1,-1,1,-59071,5129842] 2
51667c (1 curve)	0	7+ 11- 61+	-1  1 -4 7+ 11-  4 -5 -1
Curve Equation t 51667c1 [1,0,0,-910,-10559] 1
51667d (1 curve)	2	7+ 11- 61+	-2 -1  1 7+ 11- -2 -2  2
Curve Equation t Generators 51667d1 [0,-1,1,-67800,6847290] 1 [-150:3690:1]&[-29:2964:1]
51667e (1 curve)	2	7+ 11- 61+	-2 -1  1 7+ 11- -5 -2 -7
Curve Equation t Generators 51667e1 [0,-1,1,-260,-1530] 1 [-9:0:1]&[30:129:1]
51667f (1 curve)	1	7+ 11- 61-	0  2  4 7+ 11- -2 -5  8
Curve Equation t Generators 51667f1 [0,-1,1,-161,1594] 1 [388:1783:64]
51667g (1 curve)	0	7- 11- 61-	0  0  2 7- 11- -2  7 -6
Curve Equation t 51667g1 [0,0,1,12826,-689791] 1
51667h (1 curve)	0	7- 11- 61-	0 -2  2 7- 11-  0  6  4
Curve Equation t 51667h1 [0,1,1,-7,-16] 1
51667i (1 curve)	0	7- 11- 61-	1  1  0 7- 11- -4  5  7
Curve Equation t 51667i1 [1,0,1,-3391,75139] 1
51667j (1 curve)	0	7- 11- 61-	2 -1  1 7- 11-  5  2  7
Curve Equation t 51667j1 [0,-1,1,-31500,2162049] 1

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

Part of Computational Number Theory
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