Cremona's table of elliptic curves

2400 = 2⁵ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Conductor	2400	Conductor
Count	4	Number of curves in isogeny class
Curves	2400ba1 2400ba2 2400ba3 2400ba4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0  0 -2 -6 -4	Hecke eigenvalues for primes less than 20
L	3.6528720571504	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2400a 4800a 7200f 480b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2400ba

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

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Quadratic twists for isogeny class 2400ba

-4	8	-3	5	-7
2400a	4800a	7200f	480b	117600el

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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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