Cremona's table of elliptic curves

427 = 7 · 61

Field	Data	Notes
Atkin-Lehner	7+ 61+	Signs for the Atkin-Lehner involutions
Conductor	427	Conductor
Count	1	Number of curves in isogeny class
Curves	427c1	Curves in isogeny class
deg	36	Modular degree for the optimal curve
Eigenvalues	-1  1  0 7+ -5  4 -5 -7	Hecke eigenvalues for primes less than 20
L	1.4102148913649	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6832i 27328c 3843c 10675f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 427c

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	1	0	+	-5	4	-5	-7	9	-6	0	2	-10	1	7	-6	-6	+	5	1	10	-3	1	-13	10

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Quadratic twists for isogeny class 427c

-4	8	-3	5	-7	-11	13	17	61
6832i	27328c	3843c	10675f	2989c	51667i	72163f	123403i	26047d

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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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