Cremona's table of elliptic curves

507 = 3 · 13²

Class	r	Atkin-Lehner	Eigenvalues
507a (2 curves)	1	3+ 13+	1 3+ -1  2 -2 13+ -7 -6
Curve Equation t Generators 507a1 [1,1,0,-1693,26434] 1 [70:472:1] 507a2 [1,1,0,-12678,-3060351] 1 [30720:354243:125]
507b (2 curves)	1	3+ 13+	-1 3+  1 -2  2 13+ -7  6
Curve Equation t Generators 507b1 [1,1,1,-10,8] 1 [2:0:1] 507b2 [1,1,1,-75,-1422] 1 [106:1040:1]
507c (4 curves)	1	3+ 13+	-1 3+ -2  4 -4 13+  2  0
Curve Equation t Generators 507c1 [1,1,1,81,-564] 4 [282:913:27] 507c2 [1,1,1,-764,-7324] 4 [-18:40:1] 507c3 [1,1,1,-11749,-495058] 2 [200:2181:1] 507c4 [1,1,1,-3299,64670] 2 [44:62:1]

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

Part of Computational Number Theory
Back to Tables and computations