Cremona's table of elliptic curves

16800 = 2⁵ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	16800	Conductor
Count	4	Number of curves in isogeny class
Curves	16800bx1 16800bx2 16800bx3 16800bx4	Curves in isogeny class
deg	184320	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  4  2  2 -4	Hecke eigenvalues for primes less than 20
L	3.6085229386043	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16800e 33600bb 50400bq 3360b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 16800bx

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

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Quadratic twists for isogeny class 16800bx

-4	8	-3	5	-7
16800e	33600bb	50400bq	3360b	117600fc

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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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