Cremona's table of elliptic curves

1216 = 2⁶ · 19

Field	Data	Notes
Atkin-Lehner	2+ 19+	Signs for the Atkin-Lehner involutions
Conductor	1216	Conductor
Count	3	Number of curves in isogeny class
Curves	1216b1 1216b2 1216b3	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2+ -1  0 -1  6 -5  3 19+	Hecke eigenvalues for primes less than 20
L	2.2319890458138	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1216o 38a 10944l 30400d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1216b

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

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Quadratic twists for isogeny class 1216b

-4	8	-3	5	-7	-19
1216o	38a	10944l	30400d	59584bg	23104l

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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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