Cremona's table of elliptic curves

2574 = 2 · 3² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	2574	Conductor
Count	4	Number of curves in isogeny class
Curves	2574x1 2574x2 2574x3 2574x4	Curves in isogeny class
deg	4608	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 -4 11- 13-  0 -4	Hecke eigenvalues for primes less than 20
L	4.3193594937223	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	20592bf 82368s 858b 64350bn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2574x

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

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Quadratic twists for isogeny class 2574x

-4	8	-3	5	-7	-11	13
20592bf	82368s	858b	64350bn	126126fl	28314p	33462r

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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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