Cremona's table of elliptic curves

6864 = 2⁴ · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 13-	Signs for the Atkin-Lehner involutions
Conductor	6864	Conductor
Count	6	Number of curves in isogeny class
Curves	6864h1 6864h2 6864h3 6864h4 6864h5 6864h6	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0 11+ 13-  2 -4	Hecke eigenvalues for primes less than 20
L	4.320854245638	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3432g 27456br 20592n 75504r	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 6864h

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	+	-	2	-4	0	-2	8	-2	2	4	-8	6	4	-2	12	-16	2	-16	-4	-6	2

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Quadratic twists for isogeny class 6864h

-4	8	-3	-11	13
3432g	27456br	20592n	75504r	89232t

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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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