Cremona's table of elliptic curves

13005 = 3² · 5 · 17²

Field	Data	Notes
Atkin-Lehner	3- 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	13005	Conductor
Count	8	Number of curves in isogeny class
Curves	13005n1 13005n2 13005n3 13005n4 13005n5 13005n6 13005n7 13005n8	Curves in isogeny class
deg	10240	Modular degree for the optimal curve
Eigenvalues	1 3- 5-  0 -4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	5.516557593757	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4335d 65025bn 45a	Quadratic twists by: -3 5 17

Hecke Eigenvalues for isogeny class 13005n

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	-4	-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 13005n

-3	5	17
4335d	65025bn	45a

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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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