Cremona's table of elliptic curves

4785 = 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5- 11+ 29-	Signs for the Atkin-Lehner involutions
Conductor	4785	Conductor
Count	6	Number of curves in isogeny class
Curves	4785a1 4785a2 4785a3 4785a4 4785a5 4785a6	Curves in isogeny class
deg	3584	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes less than 20
L	2.0791178087652	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	76560cj 14355d 23925s 52635d	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 4785a

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

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Quadratic twists for isogeny class 4785a

-4	-3	5	-11
76560cj	14355d	23925s	52635d

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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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