Cremona's table of elliptic curves

12870 = 2 · 3² · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	12870	Conductor
Count	4	Number of curves in isogeny class
Curves	12870q1 12870q2 12870q3 12870q4	Curves in isogeny class
deg	16384	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ -4 11- 13- -6 -8	Hecke eigenvalues for primes less than 20
L	4.4213815970489	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	102960dk 4290v 64350ek	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for isogeny class 12870q

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

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Quadratic twists for isogeny class 12870q

-4	-3	5
102960dk	4290v	64350ek

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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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