Cremona's table of elliptic curves

12597 = 3 · 13 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
12597a (2 curves)	0	3+ 13+ 17+ 19-	1 3+  4  0  0 13+ 17+ 19-
Curve Equation t 12597a1 [1,1,0,-1003,11560] 2 12597a2 [1,1,0,-2238,-24255] 2
12597b (4 curves)	1	3+ 13- 17- 19+	-1 3+  2 -4  0 13- 17- 19+
Curve Equation t Generators 12597b1 [1,1,1,-1207,15524] 4 [-31:171:1] 12597b2 [1,1,1,-2052,-10164] 4 [63:308:1] 12597b3 [1,1,1,-25517,-1577626] 2 [-91:79:1] 12597b4 [1,1,1,7893,-69834] 2 [270:3751:8]
12597c (2 curves)	1	3- 13+ 17- 19+	1 3-  0  2  6 13+ 17- 19+
Curve Equation t Generators 12597c1 [1,0,1,-2486,-4741] 2 [-33:220:1] 12597c2 [1,0,1,-25951,1600265] 2 [-119:1793:1]

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

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