Cremona's table of elliptic curves

13200 = 2⁴ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	13200	Conductor
Count	4	Number of curves in isogeny class
Curves	13200bu1 13200bu2 13200bu3 13200bu4	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4 11-  6 -2 -4	Hecke eigenvalues for primes less than 20
L	3.5050841858447	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1650f 52800gp 39600do 528j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 13200bu

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

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Quadratic twists for isogeny class 13200bu

-4	8	-3	5
1650f	52800gp	39600do	528j

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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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