Cremona's table of elliptic curves

672 = 2⁵ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+	Signs for the Atkin-Lehner involutions
Conductor	672	Conductor
Count	2	Number of curves in isogeny class
Curves	672a1 672a2	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0 7+ -2 -2  4 -4	Hecke eigenvalues for primes less than 20
L	1.8770484001592	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	672g 1344f 2016k 16800bw	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 672a

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	-2	4	-4	-6	-2	0	-6	8	-8	-4	-6	0	-14	4	-2	-2	4	12	0	6

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Quadratic twists for isogeny class 672a

-4	8	-3	5	-7	-11	13
672g	1344f	2016k	16800bw	4704l	81312bd	113568bw

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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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