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	4	Number of curves in isogeny class
Curves	672f1 672f2 672f3 672f4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ -4 -6 -2  4	Hecke eigenvalues for primes less than 20
L	2.2099943157884	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	672e 1344k 2016c 16800k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 672f

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

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Quadratic twists for isogeny class 672f

-4	8	-3	5	-7	-11	13
672e	1344k	2016c	16800k	4704u	81312x	113568bo

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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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