Cremona's table of elliptic curves

6936 = 2³ · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Conductor	6936	Conductor
Count	6	Number of curves in isogeny class
Curves	6936m1 6936m2 6936m3 6936m4 6936m5 6936m6	Curves in isogeny class
deg	2560	Modular degree for the optimal curve
Eigenvalues	2- 3-  2  0 -4 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	5.3140607516736	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13872b 55488k 20808l 24a	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for isogeny class 6936m

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
-	-	2	0	-4	-2	+	-4	8	-6	-8	-6	6	4	0	-2	4	2	-4	-8	-10	8	-4	-6	-2

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Quadratic twists for isogeny class 6936m

-4	8	-3	17
13872b	55488k	20808l	24a

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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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