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	9800i	Isogeny class
Conductor	9800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	807072140000000000 = 211 · 510 · 79	Discriminant
Eigenvalues	2+  2 5+ 7-  4  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-294408,-43631188]	[a1,a2,a3,a4,a6]
j	2185454/625	j-invariant
L	3.7695508624457	L(r)(E,1)/r!
Ω	0.20941949235809	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19600z2 78400cy2 88200gx2 1960k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9800i2

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	+	-	4	2	0	-2	4	10	-4	2	12	4	4	-2	-10	-6	-4	-12	-4	-4	14	-8	-8

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Quadratic twists for elliptic curve 9800i2

-4	8	-3	5	-7
19600z2	78400cy2	88200gx2	1960k2	9800k2

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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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