Cremona's table of elliptic curves

32448 = 2⁶ · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	32448	Conductor
Count	6	Number of curves in isogeny class
Curves	32448ci1 32448ci2 32448ci3 32448ci4 32448ci5 32448ci6	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0 -4 13+  2  4	Hecke eigenvalues for primes less than 20
L	1.3224113775703	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	32448bh 8112k 97344fb 192d	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 32448ci

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	4	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 32448ci

-4	8	-3	13
32448bh	8112k	97344fb	192d

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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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