Cremona's table of elliptic curves

2415 = 3 · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
2415a (4 curves)	1	3+ 5+ 7+ 23+	-1 3+ 5+ 7+  4 -6 -2  0
Curve Equation t Generators 2415a1 [1,1,1,-81,-282] 2 [-6:8:1] 2415a2 [1,1,1,-326,1874] 4 [-16:65:1] 2415a3 [1,1,1,-5051,136064] 2 [41:-17:1] 2415a4 [1,1,1,479,10568] 2 [-9:79:1]
2415b (1 curve)	1	3+ 5+ 7- 23-	0 3+ 5+ 7- -3  0 -2  7
Curve Equation t Generators 2415b1 [0,-1,1,-98651,14756141] 1 [493:-9258:1]
2415c (1 curve)	1	3- 5+ 7+ 23-	0 3- 5+ 7+  1  0  2 -3
Curve Equation t Generators 2415c1 [0,1,1,29169,-4304725] 1 [279:5062:1]
2415d (2 curves)	1	3- 5+ 7- 23+	0 3- 5+ 7-  3 -4 -6 -1
Curve Equation t Generators 2415d1 [0,1,1,-21,110] 3 [-6:7:1] 2415d2 [0,1,1,189,-2809] 1 [106:371:8]
2415e (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7- -4  2  6 -4
Curve Equation t 2415e1 [1,0,1,-24,1] 2 2415e2 [1,0,1,-269,1667] 4 2415e3 [1,0,1,-4294,107927] 2 2415e4 [1,0,1,-164,3011] 2
2415f (4 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7-  4  2 -2  0
Curve Equation t 2415f1 [1,0,0,-231,336] 2 2415f2 [1,0,0,-2876,59055] 4 2415f3 [1,0,0,-46001,3793680] 2 2415f4 [1,0,0,-2071,93026] 2
2415g (2 curves)	1	3- 5- 7+ 23+	1 3- 5- 7+ -2  0 -2 -4
Curve Equation t Generators 2415g1 [1,0,1,-1438,-21037] 2 [79:560:1] 2415g2 [1,0,1,-813,-39287] 2 [59:315:1]
2415h (4 curves)	1	3- 5- 7+ 23+	-1 3- 5- 7+  0  2 -6 -4
Curve Equation t Generators 2415h1 [1,0,0,-280,1775] 4 [-10:65:1] 2415h2 [1,0,0,-405,0] 4 [-15:60:1] 2415h3 [1,0,0,-4430,-113505] 2 [-38:37:1] 2415h4 [1,0,0,1620,405] 2 [12:141:1]
2415i (2 curves)	1	3- 5- 7- 23-	-1 3- 5- 7- -2 -4 -2  0
Curve Equation t Generators 2415i1 [1,0,0,-230,-1173] 2 [-11:13:1] 2415i2 [1,0,0,395,-6298] 2 [59:-502:1]

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

Part of Computational Number Theory
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