Cremona's table of elliptic curves

9800 = 2³ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	9800	Conductor
Count	2	Number of curves in isogeny class
Curves	9800k1 9800k2	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2+ -2 5+ 7-  4 -2  0  2	Hecke eigenvalues for primes less than 20
L	1.3919059000083	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19600u 78400cn 88200gz 1960o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 9800k

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 isogeny class 9800k

-4	8	-3	5	-7
19600u	78400cn	88200gz	1960o	9800i

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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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