Cremona's table of elliptic curves

2046 = 2 · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 31+	Signs for the Atkin-Lehner involutions
Conductor	2046	Conductor
Count	6	Number of curves in isogeny class
Curves	2046g1 2046g2 2046g3 2046g4 2046g5 2046g6	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0 11+ -2  2  4	Hecke eigenvalues for primes less than 20
L	1.8198641983391	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16368ba 65472y 6138g 51150r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2046g

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

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Quadratic twists for isogeny class 2046g

-4	8	-3	5	-7	-11	-31
16368ba	65472y	6138g	51150r	100254cp	22506f	63426bi

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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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