Cremona's table of elliptic curves

6045 = 3 · 5 · 13 · 31

Field	Data	Notes
Atkin-Lehner	3- 5+ 13- 31-	Signs for the Atkin-Lehner involutions
Conductor	6045	Conductor
Count	3	Number of curves in isogeny class
Curves	6045i1 6045i2 6045i3	Curves in isogeny class
deg	2592	Modular degree for the optimal curve
Eigenvalues	0 3- 5+ -1  6 13-  6  2	Hecke eigenvalues for primes less than 20
L	2.0422577341973	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	96720bo 18135r 30225f 78585p	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 6045i

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
0	-	+	-1	6	-	6	2	-6	9	-	2	-9	-1	-6	-12	3	8	5	0	-16	8	9	6	17

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Quadratic twists for isogeny class 6045i

-4	-3	5	13
96720bo	18135r	30225f	78585p

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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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