Cremona's table of elliptic curves

4872 = 2³ · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 29+	Signs for the Atkin-Lehner involutions
Conductor	4872	Conductor
Count	4	Number of curves in isogeny class
Curves	4872f1 4872f2 4872f3 4872f4	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7+  4 -6 -6 -4	Hecke eigenvalues for primes less than 20
L	1.5691766088426	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	9744c 38976h 14616l 121800bg	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4872f

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	-6	-6	-4	8	+	8	2	-6	4	12	2	-12	2	12	16	6	-4	4	18	-2

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Quadratic twists for isogeny class 4872f

-4	8	-3	5	-7
9744c	38976h	14616l	121800bg	34104e

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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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