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	4	Number of curves in isogeny class
Curves	32448bg1 32448bg2 32448bg3 32448bg4	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 -4 -4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	1.5706194146361	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	32448e 16224e 97344cj 192b	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 32448bg

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

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Quadratic twists for isogeny class 32448bg

-4	8	-3	13
32448e	16224e	97344cj	192b

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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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