Cremona's table of elliptic curves

2352 = 2⁴ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7-	Signs for the Atkin-Lehner involutions
Conductor	2352	Conductor
Count	6	Number of curves in isogeny class
Curves	2352c1 2352c2 2352c3 2352c4 2352c5 2352c6	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2 7- -4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.6301726004867	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1176i 9408cz 7056z 58800dm	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2352c

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

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Quadratic twists for isogeny class 2352c

-4	8	-3	5	-7
1176i	9408cz	7056z	58800dm	48a

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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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