Cremona's table of elliptic curves

117242 = 2 · 31² · 61

Class	r	Atkin-Lehner	Eigenvalues
117242a (1 curve)	3	2+ 31+ 61+	2+ -3 -3 -3 -3 -3 -7 -7
Curve Equation t Generators 117242a1 [1,-1,0,-1141,-13439] 1 [-23:27:1]&[-21:41:1]&[-18:41:1]
117242b (2 curves)	0	2+ 31- 61+	2+  2  3 -1  3  7  0  8
Curve Equation t 117242b1 [1,1,0,-952851,-360894223] 1 117242b2 [1,1,0,2857514,-1912298988] 1
117242c (1 curve)	1	2+ 31- 61-	2+  0 -3 -3  3 -3  4  2
Curve Equation t Generators 117242c1 [1,-1,0,-126071,-17253779] 1 [411:275:1]
117242d (1 curve)	1	2+ 31- 61-	2+  2  1 -5  3  3  0  0
Curve Equation t Generators 117242d1 [1,1,0,2383,-283] 1 [121:1381:1]
117242e (1 curve)	1	2+ 31- 61-	2+  3 -3 -3  3  3  7 -7
Curve Equation t Generators 117242e1 [1,-1,0,-1096681,409134233] 1 [19956:27443:27]
117242f (1 curve)	1	2- 31+ 61-	2-  1 -1 -5 -3 -5  5  5
Curve Equation t Generators 117242f1 [1,0,0,-981,-3631] 1 [-8:65:1]
117242g (2 curves)	1	2- 31+ 61-	2-  1  3 -1 -3 -1 -3  5
Curve Equation t Generators 117242g1 [1,0,0,-19502554,31234267492] 3 [16213068:1053484762:12167] 117242g2 [1,0,0,-286429914,-1858878368668] 1 [-115818892:930424410:12167]
117242h (1 curve)	1	2- 31+ 61-	2- -1 -3 -1  3 -7  5 -5
Curve Equation t Generators 117242h1 [1,1,1,-1121507,-449305983] 1 [-561:2202:1]
117242i (1 curve)	1	2- 31- 61+	2-  1 -3 -1 -3  7 -5 -5
Curve Equation t Generators 117242i1 [1,0,0,-1167,14969] 1 [34:-139:1]
117242j (1 curve)	1	2- 31- 61+	2- -1 -1 -5  3  5 -5  5
Curve Equation t Generators 117242j1 [1,1,1,-942761,105342855] 1 [-975:10430:1]
117242k (2 curves)	1	2- 31- 61+	2- -1  3 -1  3  1  3  5
Curve Equation t Generators 117242k1 [1,1,1,-20294,-1056957] 1 [-87:287:1] 117242k2 [1,1,1,-298054,62272323] 1 [4005:905859:125]
117242l (1 curve)	1	2- 31- 61+	2-  2 -1  1 -3 -1  4 -4
Curve Equation t Generators 117242l1 [1,1,1,143169,-39162715] 1 [3159:177166:1]

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

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