Cremona's table of elliptic curves

8400 = 2⁴ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	8400	Conductor
Count	8	Number of curves in isogeny class
Curves	8400ce1 8400ce2 8400ce3 8400ce4 8400ce5 8400ce6 8400ce7 8400ce8	Curves in isogeny class
deg	27648	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  0 -2  6  4	Hecke eigenvalues for primes less than 20
L	2.9408369087207	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1050a 33600ex 25200ef 1680k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 8400ce

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	6	4	0	-6	4	-2	6	8	-12	-6	12	2	8	0	-14	16	12	6	-14

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Quadratic twists for isogeny class 8400ce

-4	8	-3	5	-7
1050a	33600ex	25200ef	1680k	58800fd

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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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