Cremona's table of elliptic curves

31008 = 2⁵ · 3 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
31008a (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+  2  2  2 -2 17+ 19-
Curve Equation t 31008a1 [0,-1,0,-827202,287686152] 2 31008a2 [0,-1,0,-13207697,18479585505] 2
31008b (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+  2  2 -4  4 17+ 19-
Curve Equation t 31008b1 [0,-1,0,-322,-2120] 2 31008b2 [0,-1,0,-312,-2268] 2
31008c (2 curves)	2	2+ 3+ 17- 19+	2+ 3+  0 -4 -2 -2 17- 19+
Curve Equation t Generators 31008c1 [0,-1,0,-38,0] 2 [-2:8:1]&[-1:6:1] 31008c2 [0,-1,0,152,-152] 2 [17:84:1]&[37:234:1]
31008d (2 curves)	0	2+ 3- 17+ 19+	2+ 3-  0  2  0 -6 17+ 19+
Curve Equation t 31008d1 [0,1,0,-2924618,1918205904] 2 31008d2 [0,1,0,-1621408,3637921820] 2
31008e (1 curve)	1	2+ 3- 17+ 19-	2+ 3- -1 -1  0  4 17+ 19-
Curve Equation t Generators 31008e1 [0,1,0,1599,13263] 1 [-1:108:1]
31008f (2 curves)	1	2+ 3- 17+ 19-	2+ 3-  2  2 -2 -2 17+ 19-
Curve Equation t Generators 31008f1 [0,1,0,-61242,-5827392] 2 [1749:72390:1] 31008f2 [0,1,0,-95537,1395135] 2 [1:1140:1]
31008g (2 curves)	1	2+ 3- 17+ 19-	2+ 3-  2  2 -6 -2 17+ 19-
Curve Equation t Generators 31008g1 [0,1,0,-148722,-22125168] 2 [1677:66690:1] 31008g2 [0,1,0,-148817,-22095585] 2 [-230:135:1]
31008h (2 curves)	1	2+ 3- 17+ 19-	2+ 3- -4  2  0 -2 17+ 19-
Curve Equation t Generators 31008h1 [0,1,0,-18410,955344] 2 [46:456:1] 31008h2 [0,1,0,-18400,956444] 2 [71:114:1]
31008i (1 curve)	1	2+ 3- 17- 19+	2+ 3- -3  1  0  0 17- 19+
Curve Equation t Generators 31008i1 [0,1,0,543,22959] 1 [39:324:1]
31008j (2 curves)	0	2+ 3- 17- 19-	2+ 3-  0  4  2 -2 17- 19-
Curve Equation t 31008j1 [0,1,0,-38,0] 2 31008j2 [0,1,0,152,152] 2
31008k (1 curve)	0	2- 3+ 17+ 19+	2- 3+ -1  1  0  4 17+ 19+
Curve Equation t 31008k1 [0,-1,0,1599,-13263] 1
31008l (2 curves)	0	2- 3+ 17+ 19+	2- 3+  2 -2  2 -2 17+ 19+
Curve Equation t 31008l1 [0,-1,0,-61242,5827392] 2 31008l2 [0,-1,0,-95537,-1395135] 2
31008m (2 curves)	0	2- 3+ 17+ 19+	2- 3+  2 -2  6 -2 17+ 19+
Curve Equation t 31008m1 [0,-1,0,-148722,22125168] 2 31008m2 [0,-1,0,-148817,22095585] 2
31008n (2 curves)	0	2- 3+ 17+ 19+	2- 3+ -4 -2  0 -2 17+ 19+
Curve Equation t 31008n1 [0,-1,0,-18410,-955344] 2 31008n2 [0,-1,0,-18400,-956444] 2
31008o (2 curves)	1	2- 3+ 17+ 19-	2- 3+  0 -2  0 -6 17+ 19-
Curve Equation t Generators 31008o1 [0,-1,0,-2924618,-1918205904] 2 [342008:200008440:1] 31008o2 [0,-1,0,-1621408,-3637921820] 2 [122340:999685:64]
31008p (2 curves)	1	2- 3+ 17+ 19-	2- 3+ -2  2 -4  2 17+ 19-
Curve Equation t Generators 31008p1 [0,-1,0,-1674,62964] 2 [23:190:1] 31008p2 [0,-1,0,-35969,2635089] 2 [80:513:1]
31008q (1 curve)	0	2- 3+ 17- 19-	2- 3+ -3 -1  0  0 17- 19-
Curve Equation t 31008q1 [0,-1,0,543,-22959] 1
31008r (2 curves)	0	2- 3+ 17- 19-	2- 3+  4  0  6  2 17- 19-
Curve Equation t 31008r1 [0,-1,0,-446,3768] 2 31008r2 [0,-1,0,-256,6808] 2
31008s (2 curves)	1	2- 3- 17+ 19+	2- 3-  2 -2 -2 -2 17+ 19+
Curve Equation t Generators 31008s1 [0,1,0,-827202,-287686152] 2 [1475694:16798380:1331] 31008s2 [0,1,0,-13207697,-18479585505] 2 [4435:100980:1]
31008t (2 curves)	1	2- 3- 17+ 19+	2- 3-  2 -2  4  4 17+ 19+
Curve Equation t Generators 31008t1 [0,1,0,-322,2120] 2 [964:1935:64] 31008t2 [0,1,0,-312,2268] 2 [47:306:1]
31008u (2 curves)	1	2- 3- 17+ 19+	2- 3- -2 -2  4  2 17+ 19+
Curve Equation t Generators 31008u1 [0,1,0,-1674,-62964] 2 [1002:10455:8] 31008u2 [0,1,0,-35969,-2635089] 2 [-110:51:1]
31008v (2 curves)	0	2- 3- 17- 19+	2- 3-  4  0 -6  2 17- 19+
Curve Equation t 31008v1 [0,1,0,-446,-3768] 2 31008v2 [0,1,0,-256,-6808] 2

Data from Elliptic Curve Data by J. E. Cremona.
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