Cremona's table of elliptic curves

5005 = 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
5005a (2 curves)	0	5+ 7- 11+ 13+	1  0 5+ 7- 11+ 13+ -6 -2
Curve Equation t 5005a1 [1,-1,0,-770,-40425] 2 5005a2 [1,-1,0,-23065,-1337994] 2
5005b (4 curves)	0	5- 7+ 11+ 13+	1  0 5- 7+ 11+ 13+ -2  8
Curve Equation t 5005b1 [1,-1,0,706,162175] 2 5005b2 [1,-1,0,-40699,3085368] 4 5005b3 [1,-1,0,-97574,-7391007] 2 5005b4 [1,-1,0,-646304,200149235] 2
5005c (1 curve)	1	5- 7+ 11- 13+	-2  0 5- 7+ 11- 13+ -5  5
Curve Equation t Generators 5005c1 [0,0,1,-1111907,732397750] 1 [-437:33687:1]
5005d (2 curves)	0	5- 7+ 11- 13-	-1  0 5- 7+ 11- 13-  6  6
Curve Equation t 5005d1 [1,-1,1,-866212,-310252794] 2 5005d2 [1,-1,1,-13861467,-19860314416] 2
5005e (4 curves)	0	5- 7- 11- 13+	1  0 5- 7- 11- 13+ -2  0
Curve Equation t 5005e1 [1,-1,0,-29,-40] 2 5005e2 [1,-1,0,-154,735] 4 5005e3 [1,-1,0,-2429,46690] 2 5005e4 [1,-1,0,121,2880] 2
5005f (1 curve)	0	5- 7- 11- 13+	-2  0 5- 7- 11- 13+ -5 -3
Curve Equation t 5005f1 [0,0,1,-74567,-7837330] 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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