Cremona's table of elliptic curves

33600 = 2⁶ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	33600	Conductor
Count	6	Number of curves in isogeny class
Curves	33600gi1 33600gi2 33600gi3 33600gi4 33600gi5 33600gi6	Curves in isogeny class
deg	98304	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+ -4  6 -2 -4	Hecke eigenvalues for primes less than 20
L	6.6425376509506	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	33600ba 8400bl 100800lz 1344m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 33600gi

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

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Quadratic twists for isogeny class 33600gi

-4	8	-3	5
33600ba	8400bl	100800lz	1344m

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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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