Cremona's table of elliptic curves

1050 = 2 · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	1050	Conductor
Count	6	Number of curves in isogeny class
Curves	1050h1 1050h2 1050h3 1050h4 1050h5 1050h6	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7- -4 -6 -2 -4	Hecke eigenvalues for primes less than 20
L	2.1683500451392	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8400bl 33600ba 3150bl 42a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1050h

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 1050h

-4	8	-3	5	-7	-11
8400bl	33600ba	3150bl	42a	7350i	127050hk

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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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