Cremona's table of elliptic curves

5054 = 2 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Conductor	5054	Conductor
Count	6	Number of curves in isogeny class
Curves	5054c1 5054c2 5054c3 5054c4 5054c5 5054c6	Curves in isogeny class
deg	2376	Modular degree for the optimal curve
Eigenvalues	2-  2  0 7-  0  4  6 19-	Hecke eigenvalues for primes less than 20
L	5.4735938188337	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	40432r 45486p 126350q 35378p	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5054c

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

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Quadratic twists for isogeny class 5054c

-4	-3	5	-7	-19
40432r	45486p	126350q	35378p	14a

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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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