Cremona's table of elliptic curves

4200 = 2³ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	4200	Conductor
Count	6	Number of curves in isogeny class
Curves	4200o1 4200o2 4200o3 4200o4 4200o5 4200o6	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7- -4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	4.3399244500588	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8400c 33600x 12600cb 840f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4200o

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	-6	4	8	-6	-4	-10	-4	-16	14	8	4	10	-10

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Quadratic twists for isogeny class 4200o

-4	8	-3	5	-7
8400c	33600x	12600cb	840f	29400r

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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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