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	4	Number of curves in isogeny class
Curves	448a1 448a2 448a3 448a4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 7+  4 -2 -6 -8	Hecke eigenvalues for primes less than 20
L	1.7234498941954	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	448b 56a 4032g 11200n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 448a

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

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Quadratic twists for isogeny class 448a

-4	8	-3	5	-7	-11	13	17
448b	56a	4032g	11200n	3136e	54208be	75712z	129472z

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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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