Cremona's table of elliptic curves

127050 = 2 · 3 · 5² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	127050	Conductor
Count	8	Number of curves in isogeny class
Curves	127050bf1 127050bf2 127050bf3 127050bf4 127050bf5 127050bf6 127050bf7 127050bf8	Curves in isogeny class
deg	3317760	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -6 -8	Hecke eigenvalues for primes less than 20
L	3.5505883906985	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	25410ct 1050k	Quadratic twists by: 5 -11

Hecke Eigenvalues for isogeny class 127050bf

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

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Quadratic twists for isogeny class 127050bf

5	-11
25410ct	1050k

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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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