Cremona's table of elliptic curves

75712 = 2⁶ · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	75712	Conductor
Count	2	Number of curves in isogeny class
Curves	75712v1 75712v2	Curves in isogeny class
deg	599040	Modular degree for the optimal curve
Eigenvalues	2+  1 -2 7+  5 13-  2 -4	Hecke eigenvalues for primes less than 20
L	0.46276122931076	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	75712df 2366n 75712bp	Quadratic twists by: -4 8 13

Hecke Eigenvalues for isogeny class 75712v

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	1	-2	+	5	-	2	-4	-9	0	-5	3	-5	4	-13	-14	-6	13	-3	0	-1	-15	-6	6	-7

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Quadratic twists for isogeny class 75712v

-4	8	13
75712df	2366n	75712bp

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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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