Cremona's table of elliptic curves

8680 = 2³ · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
8680a (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+  3  1  3 -6
Curve Equation t Generators 8680a1 [0,-1,0,-8230881,-13583553755] 1 [326792853:-84201103654:4913]
8680b (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+  3  1 -4  1
Curve Equation t Generators 8680b1 [0,-1,0,-16136,761836] 1 [33:514:1]
8680c (2 curves)	1	2+ 5+ 7+ 31+	2+  2 5+ 7+  0 -2  0  0
Curve Equation t Generators 8680c1 [0,-1,0,-656,-15844] 2 [16198:81360:343] 8680c2 [0,-1,0,-14376,-657940] 2 [63691551:-871292150:250047]
8680d (2 curves)	1	2+ 5+ 7+ 31+	2+  2 5+ 7+  0  4 -4  4
Curve Equation t Generators 8680d1 [0,-1,0,-71,236] 2 [-5:21:1] 8680d2 [0,-1,0,84,980] 2 [38:240:1]
8680e (2 curves)	0	2+ 5+ 7+ 31-	2+ -2 5+ 7+ -4  4  0 -4
Curve Equation t 8680e1 [0,1,0,-8156,-287456] 2 8680e2 [0,1,0,-130656,-18221456] 2
8680f (2 curves)	0	2+ 5+ 7- 31+	2+  2 5+ 7- -4  0  0 -4
Curve Equation t 8680f1 [0,-1,0,-3991,-95724] 2 8680f2 [0,-1,0,-3836,-103660] 2
8680g (1 curve)	1	2+ 5- 7+ 31-	2+  1 5- 7+  5  1 -6 -1
Curve Equation t Generators 8680g1 [0,1,0,-120,-400] 1 [-5:10:1]
8680h (2 curves)	0	2- 5+ 7+ 31+	2-  0 5+ 7+  0  4  6  0
Curve Equation t 8680h1 [0,0,0,-83,-418] 2 8680h2 [0,0,0,-1483,-21978] 2
8680i (1 curve)	0	2- 5+ 7+ 31+	2-  1 5+ 7+  1 -3  2  5
Curve Equation t 8680i1 [0,1,0,-391536,-89484640] 1
8680j (2 curves)	0	2- 5+ 7+ 31+	2- -2 5+ 7+  2  0 -2  4
Curve Equation t 8680j1 [0,1,0,6664,-247040] 2 8680j2 [0,1,0,-42336,-2481440] 2
8680k (2 curves)	0	2- 5+ 7+ 31+	2- -2 5+ 7+  2  6 -2  4
Curve Equation t 8680k1 [0,1,0,-719236,-246003936] 2 8680k2 [0,1,0,-11656736,-15322253936] 2
8680l (2 curves)	2	2- 5+ 7+ 31+	2- -2 5+ 7+ -2 -6  2 -4
Curve Equation t Generators 8680l1 [0,1,0,-36,160] 2 [-6:14:1]&[-1:14:1] 8680l2 [0,1,0,-736,7440] 2 [-16:124:1]&[19:26:1]
8680m (1 curve)	0	2- 5+ 7+ 31+	2-  3 5+ 7+ -3  1  3 -6
Curve Equation t 8680m1 [0,0,0,-22468,1297172] 1
8680n (4 curves)	0	2- 5- 7+ 31-	2-  0 5- 7+  0  6  2  4
Curve Equation t 8680n1 [0,0,0,-362,-2651] 2 8680n2 [0,0,0,-367,-2574] 4 8680n3 [0,0,0,-1067,10166] 4 8680n4 [0,0,0,253,-10386] 2
8680o (4 curves)	0	2- 5- 7- 31+	2-  0 5- 7-  4 -2 -2 -4
Curve Equation t 8680o1 [0,0,0,193,194] 4 8680o2 [0,0,0,-787,1566] 4 8680o3 [0,0,0,-7787,-263034] 2 8680o4 [0,0,0,-9467,353974] 2

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