Cremona's table of elliptic curves

2850 = 2 · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	2850	Conductor
Count	4	Number of curves in isogeny class
Curves	2850q1 2850q2 2850q3 2850q4	Curves in isogeny class
deg	53760	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4  0 -2  2 19+	Hecke eigenvalues for primes less than 20
L	1.7938778523637	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	22800dj 91200ea 8550h 570d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2850q

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	0	-2	2	+	0	10	0	-2	2	4	0	6	8	6	-12	0	14	0	12	10	-2

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Quadratic twists for isogeny class 2850q

-4	8	-3	5	-19
22800dj	91200ea	8550h	570d	54150bd

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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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