Cremona's table of elliptic curves

7137 = 3² · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
7137a (1 curve)	1	3+ 13+ 61+	2 3+  1 -1  2 13+ -3  4
Curve Equation t Generators 7137a1 [0,0,1,3,-7] 1 [18:23:8]
7137b (1 curve)	1	3+ 13+ 61+	2 3+ -3  1 -2 13+  7  8
Curve Equation t Generators 7137b1 [0,0,1,-14499,-671983] 1 [9439119534:-73309207361:55742968]
7137c (1 curve)	1	3+ 13+ 61+	-2 3+ -1 -1 -2 13+  3  4
Curve Equation t Generators 7137c1 [0,0,1,27,182] 1 [0:13:1]
7137d (1 curve)	1	3+ 13+ 61+	-2 3+  3  1  2 13+ -7  8
Curve Equation t Generators 7137d1 [0,0,1,-1611,24888] 1 [23:1:1]
7137e (2 curves)	2	3- 13+ 61+	-1 3- -2 -4 -4 13+  6 -2
Curve Equation t Generators 7137e1 [1,-1,1,-146,712] 2 [-5:38:1]&[-2:32:1] 7137e2 [1,-1,1,-101,1126] 2 [-10:37:1]&[2:29:1]
7137f (3 curves)	0	3- 13- 61-	0 3- -3 -1  6 13- -3  2
Curve Equation t 7137f1 [0,0,1,-534,-6993] 1 7137f2 [0,0,1,4326,103572] 3 7137f3 [0,0,1,-110964,14341887] 3
7137g (4 curves)	2	3- 13- 61-	-1 3- -2  0 -4 13- -6 -8
Curve Equation t Generators 7137g1 [1,-1,1,-176,-790] 2 [-6:7:1]&[16:9:1] 7137g2 [1,-1,1,-581,4556] 4 [-18:103:1]&[0:67:1] 7137g3 [1,-1,1,-8816,320780] 4 [-72:796:1]&[18:400:1] 7137g4 [1,-1,1,1174,25616] 2 [-5:142:1]&[-2:153:1]

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

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