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
Class	2046d	Isogeny class
Conductor	2046	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-988531038 = -1 · 2 · 32 · 116 · 31	Discriminant
Eigenvalues	2+ 3+ -4 -4 11-  6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,248,310]	[a1,a2,a3,a4,a6]
Generators	[7:46:1]	Generators of the group modulo torsion
j	1676253304439/988531038	j-invariant
L	1.3222001240446	L(r)(E,1)/r!
Ω	0.95059716050035	Real period
R	0.46363842960519	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368v2 65472x2 6138n2 51150cp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046d2

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	-4	-	6	-2	-2	6	-2	-	2	-6	12	4	-2	-6	-6	0	-8	-16	14	-4	12	2

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Quadratic twists for elliptic curve 2046d2

-4	8	-3	5	-7	-11	-31
16368v2	65472x2	6138n2	51150cp2	100254bb2	22506be2	63426o2

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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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