Cremona's table of elliptic curves

522 = 2 · 3² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 29-	Signs for the Atkin-Lehner involutions
Conductor	522	Conductor
Count	2	Number of curves in isogeny class
Curves	522m1 522m2	Curves in isogeny class
deg	12320	Modular degree for the optimal curve
Eigenvalues	2- 3-  3  5 -6 -4 -3 -1	Hecke eigenvalues for primes less than 20
L	2.7832213779816	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4176bh 16704bc 174a 13050p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 522m

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
-	-	3	5	-6	-4	-3	-1	0	-	-4	-1	9	-7	3	6	-3	-10	-4	-12	2	14	0	6	8

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Quadratic twists for isogeny class 522m

-4	8	-3	5	-7	-11	13	29
4176bh	16704bc	174a	13050p	25578bx	63162y	88218be	15138i

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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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