Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	2730	Conductor
Count	4	Number of curves in isogeny class
Curves	2730z1 2730z2 2730z3 2730z4	Curves in isogeny class
deg	46080	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  0 13+  2  4	Hecke eigenvalues for primes less than 20
L	3.6722493802316	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840x 87360bl 8190v 13650c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730z

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

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Quadratic twists for isogeny class 2730z

-4	8	-3	5	-7	13
21840x	87360bl	8190v	13650c	19110cc	35490bk

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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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