Cremona's table of elliptic curves

4935 = 3 · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	3- 5+ 7+ 47-	Signs for the Atkin-Lehner involutions
Conductor	4935	Conductor
Count	4	Number of curves in isogeny class
Curves	4935e1 4935e2 4935e3 4935e4	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7+  4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	2.7316297769182	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	78960bt 14805i 24675c 34545l	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4935e

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
-1	-	+	+	4	2	-2	-4	-4	-2	-8	6	-2	8	-	-10	0	6	-8	-8	-10	8	12	18	-18

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Quadratic twists for isogeny class 4935e

-4	-3	5	-7
78960bt	14805i	24675c	34545l

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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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