Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	100800	Conductor
Count	6	Number of curves in isogeny class
Curves	100800fu1 100800fu2 100800fu3 100800fu4 100800fu5 100800fu6	Curves in isogeny class
deg	786432	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7- -4  6  2  4	Hecke eigenvalues for primes less than 20
L	7.9043728441732	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	100800lz 3150bl 33600ba 4032i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 100800fu

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

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Quadratic twists for isogeny class 100800fu

-4	8	-3	5
100800lz	3150bl	33600ba	4032i

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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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