Cremona's table of elliptic curves

97344 = 2⁶ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+	Signs for the Atkin-Lehner involutions
Conductor	97344	Conductor
Count	4	Number of curves in isogeny class
Curves	97344ci1 97344ci2 97344ci3 97344ci4	Curves in isogeny class
deg	10321920	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 -4  4 13+ -2 -8	Hecke eigenvalues for primes less than 20
L	0.18018273981201	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	97344fn 3042d 32448bf 7488o	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 97344ci

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	-4	4	+	-2	-8	0	6	4	-2	-10	-4	8	-10	-4	2	-16	-8	-2	8	-12	14	-10

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Quadratic twists for isogeny class 97344ci

-4	8	-3	13
97344fn	3042d	32448bf	7488o

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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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