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	8	Number of curves in isogeny class
Curves	2730n1 2730n2 2730n3 2730n4 2730n5 2730n6 2730n7 2730n8	Curves in isogeny class
deg	6912	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes less than 20
L	1.47667947613	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840bd 87360bh 8190bv 13650bq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730n

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	-	-6	-4	0	6	8	2	6	8	12	-6	-12	14	-4	-12	2	8	0	6	2

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Quadratic twists for isogeny class 2730n

-4	8	-3	5	-7	13
21840bd	87360bh	8190bv	13650bq	19110j	35490dl

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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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