Cremona's table of elliptic curves

8664 = 2³ · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3- 19-	Signs for the Atkin-Lehner involutions
Conductor	8664	Conductor
Count	6	Number of curves in isogeny class
Curves	8664g1 8664g2 8664g3 8664g4 8664g5 8664g6	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0  4  2  2 19-	Hecke eigenvalues for primes less than 20
L	4.8345148647268	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17328f 69312p 25992bc 24a	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for isogeny class 8664g

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

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Quadratic twists for isogeny class 8664g

-4	8	-3	-19
17328f	69312p	25992bc	24a

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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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