Cremona's table of elliptic curves

510 = 2 · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17-	Signs for the Atkin-Lehner involutions
Conductor	510	Conductor
Count	8	Number of curves in isogeny class
Curves	510e1 510e2 510e3 510e4 510e5 510e6 510e7 510e8	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  0  4 -2 17-  4	Hecke eigenvalues for primes less than 20
L	2.0809871839	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4080be 16320bb 1530c 2550h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 510e

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

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Quadratic twists for isogeny class 510e

-4	8	-3	5	-7	-11	13	17
4080be	16320bb	1530c	2550h	24990bx	61710n	86190d	8670v

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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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