Cremona's table of elliptic curves

5577 = 3 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	3- 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	5577	Conductor
Count	6	Number of curves in isogeny class
Curves	5577g1 5577g2 5577g3 5577g4 5577g5 5577g6	Curves in isogeny class
deg	10752	Modular degree for the optimal curve
Eigenvalues	1 3-  2  0 11- 13+ -6  4	Hecke eigenvalues for primes less than 20
L	6.137936646889	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	89232bd 16731h 61347z 429b	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for isogeny class 5577g

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	0	-	+	-6	4	-8	-10	0	-6	-10	4	-8	-10	12	14	12	0	6	8	-12	-2	14

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Quadratic twists for isogeny class 5577g

-4	-3	-11	13
89232bd	16731h	61347z	429b

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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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