Cremona's table of elliptic curves

448 = 2⁶ · 7

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Conductor	448	Conductor
Count	6	Number of curves in isogeny class
Curves	448f1 448f2 448f3 448f4 448f5 448f6	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- -2  0 7+  0  4  6  2	Hecke eigenvalues for primes less than 20
L	0.93726384398285	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	448c 112c 4032z 11200co	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 448f

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

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Quadratic twists for isogeny class 448f

-4	8	-3	5	-7	-11	13	17
448c	112c	4032z	11200co	3136y	54208dc	75712cy	129472de

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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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