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	9800bl	Isogeny class
Conductor	9800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-6023628800 = -1 · 211 · 52 · 76	Discriminant
Eigenvalues	2- -3 5+ 7-  1  4  5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,245,3430]	[a1,a2,a3,a4,a6]
Generators	[14:98:1]	Generators of the group modulo torsion
j	270	j-invariant
L	2.830079862666	L(r)(E,1)/r!
Ω	0.95595181281053	Real period
R	1.4802419037971	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	19600bb1 78400dd1 88200ce1 9800v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9800bl1

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
-	-3	+	-	1	4	5	-1	2	-8	-10	6	3	-4	4	-6	-8	-10	1	-12	3	6	-13	9	-14

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Quadratic twists for elliptic curve 9800bl1

-4	8	-3	5	-7
19600bb1	78400dd1	88200ce1	9800v1	200e1

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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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