Cremona's table of elliptic curves

15288 = 2³ · 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	15288	Conductor
Count	6	Number of curves in isogeny class
Curves	15288u1 15288u2 15288u3 15288u4 15288u5 15288u6	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7- -4 13+ -2  4	Hecke eigenvalues for primes less than 20
L	4.4252850436114	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	30576v 122304eg 45864n 2184m	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 15288u

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

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Quadratic twists for isogeny class 15288u

-4	8	-3	-7
30576v	122304eg	45864n	2184m

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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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