Cremona's table of elliptic curves

2478 = 2 · 3 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 59+	Signs for the Atkin-Lehner involutions
Conductor	2478	Conductor
Count	4	Number of curves in isogeny class
Curves	2478b1 2478b2 2478b3 2478b4	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7-  0 -4  0 -4	Hecke eigenvalues for primes less than 20
L	2.8562033198625	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	19824r 79296k 7434i 61950bj	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2478b

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	-4	0	-4	0	-6	-4	2	0	-10	0	6	+	-4	2	-6	-16	-4	12	6	8

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Quadratic twists for isogeny class 2478b

-4	8	-3	5	-7
19824r	79296k	7434i	61950bj	17346f

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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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