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	6864r1 6864r2 6864r3 6864r4 6864r5 6864r6	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0 11- 13- -6  4	Hecke eigenvalues for primes less than 20
L	1.0490227386953	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	429b 27456bz 20592bg 75504bj	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 6864r

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	-	-	-6	4	8	-10	0	6	10	-4	-8	-10	12	14	12	0	-6	-8	-12	2	-14

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Quadratic twists for isogeny class 6864r

-4	8	-3	-11	13
429b	27456bz	20592bg	75504bj	89232bd

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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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