Cremona's table of elliptic curves

6084 = 2² · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	6084	Conductor
Count	4	Number of curves in isogeny class
Curves	6084a1 6084a2 6084a3 6084a4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2- 3+  0  4  0 13+  0 -8	Hecke eigenvalues for primes less than 20
L	2.3333720669026	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	24336ba 97344c 6084a 36a	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 6084a

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	+	0	-8	0	0	4	10	0	8	0	0	0	14	16	0	10	-4	0	0	-14

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Quadratic twists for isogeny class 6084a

-4	8	-3	13
24336ba	97344c	6084a	36a

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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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