Cremona's table of elliptic curves

994 = 2 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 7- 71+	Signs for the Atkin-Lehner involutions
Conductor	994	Conductor
Count	4	Number of curves in isogeny class
Curves	994f1 994f2 994f3 994f4	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7- -4 -6  6  0	Hecke eigenvalues for primes less than 20
L	3.0834509733287	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	7952d 31808g 8946k 24850a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 994f

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	-	-4	-6	6	0	-8	-2	0	6	-10	-4	8	-2	12	10	-12	+	-6	-8	-16	2	14

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Quadratic twists for isogeny class 994f

-4	8	-3	5	-7	-11	-71
7952d	31808g	8946k	24850a	6958k	120274a	70574l

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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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