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	2730bd1 2730bd2 2730bd3 2730bd4 2730bd5 2730bd6 2730bd7 2730bd8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7-  0 13-  6 -4	Hecke eigenvalues for primes less than 20
L	4.3171915696536	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840bk 87360m 8190m 13650a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730bd

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	-4	-10	6	8	0	-6	-12	14	-4	0	2	8	-12	6	2

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Quadratic twists for isogeny class 2730bd

-4	8	-3	5	-7	13
21840bk	87360m	8190m	13650a	19110bo	35490x

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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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