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	4	Number of curves in isogeny class
Curves	100800oa1 100800oa2 100800oa3 100800oa4	Curves in isogeny class
deg	131072	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7- -4 -6 -2 -4	Hecke eigenvalues for primes less than 20
L	11.171899077932	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	100800ma 50400dv 33600gv 4032be	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 100800oa

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

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Quadratic twists for isogeny class 100800oa

-4	8	-3	5
100800ma	50400dv	33600gv	4032be

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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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