Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+ 13-	Signs for the Atkin-Lehner involutions
Conductor	10010	Conductor
Count	4	Number of curves in isogeny class
Curves	10010s1 10010s2 10010s3 10010s4	Curves in isogeny class
deg	22464	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ 7- 11+ 13-  6  8	Hecke eigenvalues for primes less than 20
L	2.2929381314372	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	80080x 90090ce 50050e 70070bz	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 10010s

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	+	-	+	-	6	8	0	0	8	2	-6	2	0	-6	-12	-10	2	6	-16	2	-6	6	2

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Quadratic twists for isogeny class 10010s

-4	-3	5	-7	-11
80080x	90090ce	50050e	70070bz	110110j

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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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