Cremona's table of elliptic curves

3696 = 2⁴ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Conductor	3696	Conductor
Count	4	Number of curves in isogeny class
Curves	3696u1 3696u2 3696u3 3696u4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ 11+  2 -6  4	Hecke eigenvalues for primes less than 20
L	3.6593547853021	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	462c 14784bu 11088bm 92400ed	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3696u

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	+	+	2	-6	4	4	2	4	-2	-6	0	8	-14	-12	-14	-4	-12	6	0	0	-6	-14

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Quadratic twists for isogeny class 3696u

-4	8	-3	5	-7	-11
462c	14784bu	11088bm	92400ed	25872bm	40656dj

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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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