Cremona's table of elliptic curves

10830 = 2 · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Conductor	10830	Conductor
Count	8	Number of curves in isogeny class
Curves	10830v1 10830v2 10830v3 10830v4 10830v5 10830v6 10830v7 10830v8	Curves in isogeny class
deg	13824	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4  0 -2  6 19-	Hecke eigenvalues for primes less than 20
L	4.6370440594366	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	86640dq 32490ba 54150bb 30a	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for isogeny class 10830v

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	0	-2	6	-	0	6	-8	-2	6	-4	0	6	0	-10	4	0	2	-8	12	-18	-2

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Quadratic twists for isogeny class 10830v

-4	-3	5	-19
86640dq	32490ba	54150bb	30a

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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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