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	2730v1 2730v2 2730v3 2730v4 2730v5 2730v6 2730v7 2730v8	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- 7+  4 13-  2 -4	Hecke eigenvalues for primes less than 20
L	2.7727274484007	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840cl 87360bx 8190l 13650bd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730v

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

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Quadratic twists for isogeny class 2730v

-4	8	-3	5	-7	13
21840cl	87360bx	8190l	13650bd	19110cm	35490k

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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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