Cremona's table of elliptic curves

9800 = 2³ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	9800ba	Isogeny class
Conductor	9800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	9411920000000 = 210 · 57 · 76	Discriminant
Eigenvalues	2-  0 5+ 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-131075,18264750]	[a1,a2,a3,a4,a6]
Generators	[435:6600:1]	Generators of the group modulo torsion
j	132304644/5	j-invariant
L	4.3090312969926	L(r)(E,1)/r!
Ω	0.68251473746037	Real period
R	3.1567313205766	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	19600i3 78400w4 88200ct4 1960b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9800ba3

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

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Quadratic twists for elliptic curve 9800ba3

-4	8	-3	5	-7
19600i3	78400w4	88200ct4	1960b3	200c3

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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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