Cremona's table of elliptic curves

2024 = 2³ · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 11+ 23+	Signs for the Atkin-Lehner involutions
Class	2024b	Isogeny class
Conductor	2024	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	144997935104 = 211 · 11 · 235	Discriminant
Eigenvalues	2+  2 -3  3 11+ -5 -1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1352,5996]	[a1,a2,a3,a4,a6]
Generators	[-35:96:1]	Generators of the group modulo torsion
j	133550346386/70799773	j-invariant
L	3.6159686565032	L(r)(E,1)/r!
Ω	0.90412947496307	Real period
R	3.9993925169301	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4048b1 16192i1 18216n1 50600j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2024b1

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	-3	3	+	-5	-1	-6	+	7	-7	-1	-6	-4	7	2	-6	4	-5	3	-4	7	8	10	-2

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Quadratic twists for elliptic curve 2024b1

-4	8	-3	5	-7	-11	-23
4048b1	16192i1	18216n1	50600j1	99176e1	22264f1	46552e1

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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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