Cremona's table of elliptic curves

3718 = 2 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	3718	Conductor
Count	2	Number of curves in isogeny class
Curves	3718k1 3718k2	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ -2 -3 -2 11- 13+ -3 -2	Hecke eigenvalues for primes less than 20
L	2.2073501673741	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	29744r 118976m 33462cm 92950ch	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3718k

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	-3	-2	-	+	-3	-2	0	-3	-8	-11	-9	-4	6	3	-6	-7	-14	-12	7	-10	-6	-6	10

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Quadratic twists for isogeny class 3718k

-4	8	-3	5	-11	13
29744r	118976m	33462cm	92950ch	40898bw	3718o

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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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