Cremona's table of elliptic curves

816 = 2⁴ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	816	Conductor
Count	2	Number of curves in isogeny class
Curves	816a1 816a2	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0 -2  0  2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.9819661024326	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	408a 3264w 2448g 20400bg	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 816a

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

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Quadratic twists for isogeny class 816a

-4	8	-3	5	-7	-11	17
408a	3264w	2448g	20400bg	39984v	98736n	13872k

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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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