Cremona's table of elliptic curves

3675 = 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	3675	Conductor
Count	8	Number of curves in isogeny class
Curves	3675e1 3675e2 3675e3 3675e4 3675e5 3675e6 3675e7 3675e8	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+ 7- -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.0792567244896	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	58800it 11025z 735e 75b	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 3675e

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

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Quadratic twists for isogeny class 3675e

-4	-3	5	-7
58800it	11025z	735e	75b

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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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