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	6	Number of curves in isogeny class
Curves	13200u1 13200u2 13200u3 13200u4 13200u5 13200u6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 11-  2 -2 -4	Hecke eigenvalues for primes less than 20
L	5.8983599518127	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6600a 52800dz 39600e 2640f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 13200u

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

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Quadratic twists for isogeny class 13200u

-4	8	-3	5
6600a	52800dz	39600e	2640f

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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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