Cremona's table of elliptic curves

3042 = 2 · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13-	Signs for the Atkin-Lehner involutions
Conductor	3042	Conductor
Count	4	Number of curves in isogeny class
Curves	3042g1 3042g2 3042g3 3042g4	Curves in isogeny class
deg	24960	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  2  0 13- -2 -6	Hecke eigenvalues for primes less than 20
L	2.3550616847308	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	24336ce 97344dc 1014g 76050fi	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3042g

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

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Quadratic twists for isogeny class 3042g

-4	8	-3	5	13
24336ce	97344dc	1014g	76050fi	3042n

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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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