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	2730k1 2730k2 2730k3 2730k4	Curves in isogeny class
deg	430080	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+ -4 13+ -2  8	Hecke eigenvalues for primes less than 20
L	1.165913482582	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840bh 87360z 8190bm 13650bz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2730k

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

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Quadratic twists for isogeny class 2730k

-4	8	-3	5	-7	13
21840bh	87360z	8190bm	13650bz	19110p	35490du

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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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