Cremona's table of elliptic curves

5600 = 2⁵ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	5600	Conductor
Count	4	Number of curves in isogeny class
Curves	5600e1 5600e2 5600e3 5600e4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2+  0 5+ 7- -4 -2 -6  4	Hecke eigenvalues for primes less than 20
L	1.1532147008868	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5600k 11200o 50400du 1120i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5600e

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	+	-	-4	-2	-6	4	-8	6	0	-10	10	12	0	6	-12	2	4	12	10	4	0	18	10

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Quadratic twists for isogeny class 5600e

-4	8	-3	5	-7
5600k	11200o	50400du	1120i	39200g

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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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