Cremona's table of elliptic curves

9075 = 3 · 5² · 11²

Field	Data	Notes
Atkin-Lehner	3- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	9075	Conductor
Count	8	Number of curves in isogeny class
Curves	9075l1 9075l2 9075l3 9075l4 9075l5 9075l6 9075l7 9075l8	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0 11- -2  2 -4	Hecke eigenvalues for primes less than 20
L	3.2501924320983	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	27225bi 1815a 75b	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for isogeny class 9075l

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	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 9075l

-3	5	-11
27225bi	1815a	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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