Cremona's table of elliptic curves

363 = 3 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 11-	Signs for the Atkin-Lehner involutions
Conductor	363	Conductor
Count	4	Number of curves in isogeny class
Curves	363a1 363a2 363a3 363a4	Curves in isogeny class
deg	180	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2 -4 11-  2  2  0	Hecke eigenvalues for primes less than 20
L	0.41376904699126	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5808bg 23232ca 1089g 9075k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 363a

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

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Quadratic twists for isogeny class 363a

-4	8	-3	5	-7	-11	13	17
5808bg	23232ca	1089g	9075k	17787u	33a	61347j	104907bf

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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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