Cremona's table of elliptic curves

2478 = 2 · 3 · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
2478a (2 curves)	0	2+ 3+ 7+ 59-	2+ 3+  0 7+  0  4  4 -4
Curve Equation t 2478a1 [1,1,0,-630,-5292] 2 2478a2 [1,1,0,-9590,-365484] 2
2478b (4 curves)	1	2+ 3- 7- 59+	2+ 3-  0 7-  0 -4  0 -4
Curve Equation t Generators 2478b1 [1,0,1,-491,3206] 6 [-21:76:1] 2478b2 [1,0,1,-7351,241934] 6 [-83:572:1] 2478b3 [1,0,1,-12986,-570388] 2 [2614:42579:8] 2478b4 [1,0,1,-15226,-360724] 2 [-35:377:1]
2478c (2 curves)	0	2+ 3- 7- 59-	2+ 3- -3 7-  0  2  6  2
Curve Equation t 2478c1 [1,0,1,265,70490] 3 2478c2 [1,0,1,-2390,-1903768] 1
2478d (2 curves)	0	2- 3+ 7+ 59+	2- 3+  0 7+  0  0  0  4
Curve Equation t 2478d1 [1,1,1,-308,-2203] 2 2478d2 [1,1,1,-448,-187] 2
2478e (4 curves)	0	2- 3+ 7+ 59+	2- 3+  2 7+  4  2  2  4
Curve Equation t 2478e1 [1,1,1,-202,983] 4 2478e2 [1,1,1,-522,-3369] 4 2478e3 [1,1,1,-7602,-258249] 2 2478e4 [1,1,1,1438,-20617] 2
2478f (1 curve)	1	2- 3+ 7- 59+	2- 3+  1 7- -4 -2 -6 -2
Curve Equation t Generators 2478f1 [1,1,1,0,33] 1 [1:5:1]
2478g (4 curves)	1	2- 3+ 7- 59+	2- 3+ -2 7- -4 -2  6  4
Curve Equation t Generators 2478g1 [1,1,1,-267904,-53283295] 4 [-285:289:1] 2478g2 [1,1,1,-4281984,-3412265439] 4 [2837:83925:1] 2478g3 [1,1,1,-68511744,-218299350495] 2 [31511:5361297:1] 2478g4 [1,1,1,-4277504,-3419755999] 2 [76593:2266105:27]
2478h (2 curves)	1	2- 3- 7- 59-	2- 3- -2 7- -4 -6  4 -4
Curve Equation t Generators 2478h1 [1,0,0,-224,0] 2 [-8:40:1] 2478h2 [1,0,0,896,224] 2 [20:152:1]

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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