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	2046f	Isogeny class
Conductor	2046	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	885971196 = 22 · 310 · 112 · 31	Discriminant
Eigenvalues	2- 3+  2  2 11+  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-717,6951]	[a1,a2,a3,a4,a6]
j	40767965189713/885971196	j-invariant
L	3.1524554459473	L(r)(E,1)/r!
Ω	1.5762277229736	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368z2 65472bc2 6138h2 51150u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046f2

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

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Quadratic twists for elliptic curve 2046f2

-4	8	-3	5	-7	-11	-31
16368z2	65472bc2	6138h2	51150u2	100254cr2	22506d2	63426bg2

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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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