Cremona's table of elliptic curves

6800 = 2⁴ · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	6800	Conductor
Count	4	Number of curves in isogeny class
Curves	6800m1 6800m2 6800m3 6800m4	Curves in isogeny class
deg	92160	Modular degree for the optimal curve
Eigenvalues	2- -2 5+  2 -6 -2 17+ -8	Hecke eigenvalues for primes less than 20
L	0.30035173575213	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	850h 27200by 61200fr 1360f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6800m

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

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Quadratic twists for isogeny class 6800m

-4	8	-3	5	17
850h	27200by	61200fr	1360f	115600by

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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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