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	8	Number of curves in isogeny class
Curves	33600cc1 33600cc2 33600cc3 33600cc4 33600cc5 33600cc6 33600cc7 33600cc8	Curves in isogeny class
deg	221184	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  0  2  6  4	Hecke eigenvalues for primes less than 20
L	3.7765656420871	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	33600ex 1050a 100800cx 6720l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 33600cc

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	6	4	0	6	-4	2	6	8	12	6	12	-2	8	0	-14	-16	12	6	-14

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Quadratic twists for isogeny class 33600cc

-4	8	-3	5
33600ex	1050a	100800cx	6720l

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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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