Cremona's table of elliptic curves

2028 = 2² · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Class	2028c	Isogeny class
Conductor	2028	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	9035786448 = 24 · 32 · 137	Discriminant
Eigenvalues	2- 3+  4  2  4 13+  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-901,9658]	[a1,a2,a3,a4,a6]
j	1048576/117	j-invariant
L	2.5173628268087	L(r)(E,1)/r!
Ω	1.2586814134044	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	8112bi1 32448br1 6084n1 50700ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2028c1

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	4	+	2	2	0	-6	10	-10	-8	4	4	-10	8	-14	-2	-16	10	-16	0	4	2

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Quadratic twists for elliptic curve 2028c1

-4	8	-3	5	-7	13
8112bi1	32448br1	6084n1	50700ba1	99372bu1	156a1

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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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