Cremona's table of elliptic curves

3045 = 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Conductor	3045	Conductor
Count	8	Number of curves in isogeny class
Curves	3045e1 3045e2 3045e3 3045e4 3045e5 3045e6 3045e7 3045e8	Curves in isogeny class
deg	2560	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5- 7+  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.9322553048579	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	48720cx 9135c 15225x 21315p	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 3045e

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

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Quadratic twists for isogeny class 3045e

-4	-3	5	-7	29
48720cx	9135c	15225x	21315p	88305t

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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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