Cremona's table of elliptic curves

10270 = 2 · 5 · 13 · 79

Field	Data	Notes
Atkin-Lehner	2- 5- 13+ 79+	Signs for the Atkin-Lehner involutions
Conductor	10270	Conductor
Count	2	Number of curves in isogeny class
Curves	10270e1 10270e2	Curves in isogeny class
deg	25088	Modular degree for the optimal curve
Eigenvalues	2-  0 5-  2  0 13+  0 -4	Hecke eigenvalues for primes less than 20
L	7.2298348972839	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	82160n 92430f 51350d	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for isogeny class 10270e

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
-	0	-	2	0	+	0	-4	4	0	-8	-10	-10	-12	6	10	-10	-8	4	-12	14	+	12	-6	-2

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Quadratic twists for isogeny class 10270e

-4	-3	5
82160n	92430f	51350d

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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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