Cremona's table of elliptic curves

8415 = 3² · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
8415a (2 curves)	0	3+ 5+ 11+ 17-	1 3+ 5+  0 11+  4 17-  2
Curve Equation t 8415a1 [1,-1,0,-150,575] 2 8415a2 [1,-1,0,-825,-8470] 2
8415b (1 curve)	0	3+ 5+ 11+ 17-	1 3+ 5+ -3 11+ -5 17- -7
Curve Equation t 8415b1 [1,-1,0,-42334395,-106012978354] 1
8415c (1 curve)	0	3+ 5+ 11+ 17-	-1 3+ 5+  3 11+  3 17- -3
Curve Equation t 8415c1 [1,-1,1,457,-3644] 1
8415d (2 curves)	0	3+ 5+ 11- 17+	-1 3+ 5+  0 11- -4 17+  2
Curve Equation t 8415d1 [1,-1,1,-6503,89662] 2 8415d2 [1,-1,1,-53378,-4672838] 2
8415e (1 curve)	1	3+ 5+ 11- 17-	-1 3+ 5+  3 11- -1 17- -1
Curve Equation t Generators 8415e1 [1,-1,1,-158,-734] 1 [16:17:1]
8415f (1 curve)	0	3+ 5- 11+ 17+	1 3+ 5-  3 11+ -1 17+ -1
Curve Equation t 8415f1 [1,-1,0,-1419,21230] 1
8415g (2 curves)	1	3+ 5- 11+ 17-	1 3+ 5-  0 11+ -4 17-  2
Curve Equation t Generators 8415g1 [1,-1,0,-58524,-2362357] 2 [-118:1759:1] 8415g2 [1,-1,0,-480399,126647018] 2 [-358:16074:1]
8415h (1 curve)	1	3+ 5- 11- 17+	1 3+ 5-  3 11-  3 17+ -3
Curve Equation t Generators 8415h1 [1,-1,0,51,118] 1 [2:14:1]
8415i (2 curves)	1	3+ 5- 11- 17+	-1 3+ 5-  0 11-  4 17+  2
Curve Equation t Generators 8415i1 [1,-1,1,-17,-16] 2 [-2:3:1] 8415i2 [1,-1,1,-92,344] 2 [-6:28:1]
8415j (1 curve)	1	3+ 5- 11- 17+	-1 3+ 5- -3 11- -5 17+ -7
Curve Equation t Generators 8415j1 [1,-1,1,-4703822,3927974546] 1 [1266:274:1]
8415k (4 curves)	1	3- 5+ 11+ 17-	-1 3- 5+  0 11+  2 17-  4
Curve Equation t Generators 8415k1 [1,-1,1,832,8282] 2 [72:625:1] 8415k2 [1,-1,1,-4613,80156] 4 [-42:466:1] 8415k3 [1,-1,1,-29858,-1919248] 2 [-93:262:1] 8415k4 [1,-1,1,-66488,6614156] 2 [36:2047:1]
8415l (2 curves)	0	3- 5+ 11- 17-	0 3- 5+  5 11- -4 17- -4
Curve Equation t 8415l1 [0,0,1,-118398,-15680691] 1 8415l2 [0,0,1,-86898,-24206166] 3
8415m (1 curve)	1	3- 5- 11+ 17+	0 3- 5-  3 11+  0 17+  0
Curve Equation t Generators 8415m1 [0,0,1,-12,90] 1 [8:22:1]
8415n (4 curves)	0	3- 5- 11+ 17-	-1 3- 5-  0 11+  2 17- -8
Curve Equation t 8415n1 [1,-1,1,-123557,10564364] 4 8415n2 [1,-1,1,-826682,-281373136] 4 8415n3 [1,-1,1,-13128557,-18306080386] 2 8415n4 [1,-1,1,225193,-949103386] 2
8415o (4 curves)	0	3- 5- 11+ 17-	-1 3- 5-  4 11+ -2 17-  4
Curve Equation t 8415o1 [1,-1,1,-1022,-6204] 4 8415o2 [1,-1,1,-14027,-635646] 4 8415o3 [1,-1,1,-224402,-40859346] 2 8415o4 [1,-1,1,-11732,-852294] 2
8415p (2 curves)	0	3- 5- 11- 17+	0 3- 5- -1 11-  2 17+  2
Curve Equation t 8415p1 [0,0,1,-16842,-865620] 1 8415p2 [0,0,1,79548,-3053673] 3
8415q (4 curves)	0	3- 5- 11- 17+	1 3- 5-  0 11-  6 17+  0
Curve Equation t 8415q1 [1,-1,0,-2259,-25160] 2 8415q2 [1,-1,0,-15264,710923] 4 8415q3 [1,-1,0,-242469,46015600] 2 8415q4 [1,-1,0,3861,2359498] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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