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	8400j1 8400j2 8400j3 8400j4 8400j5 8400j6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7- -4  2  6 -4	Hecke eigenvalues for primes less than 20
L	1.6400364537715	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4200k 33600gu 25200bs 1680h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 8400j

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	6	-4	8	-2	0	2	10	4	0	-14	-12	-2	-4	0	-2	8	-4	-6	6

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Quadratic twists for isogeny class 8400j

-4	8	-3	5	-7
4200k	33600gu	25200bs	1680h	58800do

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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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