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	2730m1 2730m2 2730m3 2730m4	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0 13+  2 -8	Hecke eigenvalues for primes less than 20
L	2.8097710657865	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	21840y 87360bo 8190br 13650bv	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730m

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

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Quadratic twists for isogeny class 2730m

-4	8	-3	5	-7	13
21840y	87360bo	8190br	13650bv	19110o	35490dk

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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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