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	6	Number of curves in isogeny class
Curves	8400c1 8400c2 8400c3 8400c4 8400c5 8400c6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+  4  2 -2  4	Hecke eigenvalues for primes less than 20
L	3.7578923819725	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4200o 33600gg 25200be 1680j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 8400c

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
+	+	+	+	4	2	-2	4	0	-10	0	-6	-6	-4	-8	-6	4	-10	4	16	14	-8	-4	10	-10

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Quadratic twists for isogeny class 8400c

-4	8	-3	5	-7
4200o	33600gg	25200be	1680j	58800dj

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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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