Cremona's table of elliptic curves

14700 = 2² · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	14700ba	Isogeny class
Conductor	14700	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	96768	Modular degree for the optimal curve
Δ	-43236007500000000 = -1 · 28 · 3 · 510 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7+ -2 -1  4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,22867,9922863]	[a1,a2,a3,a4,a6]
Generators	[213:4950:1]	Generators of the group modulo torsion
j	57344/1875	j-invariant
L	5.7588631502244	L(r)(E,1)/r!
Ω	0.27212120742116	Real period
R	3.5271434157349	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	58800eu1 44100z1 2940d1 14700i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14700ba1

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	-1	4	-1	-4	0	-5	5	2	9	2	-12	-8	-14	-9	2	-1	-3	18	-4	-10

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Quadratic twists for elliptic curve 14700ba1

-4	-3	5	-7
58800eu1	44100z1	2940d1	14700i1

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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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