Cremona's table of elliptic curves

784 = 2⁴ · 7²

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Conductor	784	Conductor
Count	2	Number of curves in isogeny class
Curves	784e1 784e2	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2+  2  4 7-  0  0  2 -2	Hecke eigenvalues for primes less than 20
L	2.8665403634854	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	392d 3136bb 7056ba 19600w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 784e

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

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Quadratic twists for isogeny class 784e

-4	8	-3	5	-7	-11
392d	3136bb	7056ba	19600w	112a	94864v

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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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