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	2	Number of curves in isogeny class
Curves	10010p1 10010p2	Curves in isogeny class
deg	5120	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ 7+ 11+ 13-  2 -6	Hecke eigenvalues for primes less than 20
L	3.9891613805506	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	80080bf 90090bs 50050m 70070by	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 10010p

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	-6	4	8	-4	4	12	0	4	-4	-6	12	0	-10	2	4	-6	-16

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Quadratic twists for isogeny class 10010p

-4	-3	5	-7	-11
80080bf	90090bs	50050m	70070by	110110r

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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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