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	8	Number of curves in isogeny class
Curves	1050a1 1050a2 1050a3 1050a4 1050a5 1050a6 1050a7 1050a8	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+  0 -2  6 -4	Hecke eigenvalues for primes less than 20
L	1.6285819080721	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8400ce 33600cc 3150bf 210a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1050a

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 1050a

-4	8	-3	5	-7	-11
8400ce	33600cc	3150bf	210a	7350w	127050gb

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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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