Cremona's table of elliptic curves

4845 = 3 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	3+ 5+ 17+ 19+	Signs for the Atkin-Lehner involutions
Conductor	4845	Conductor
Count	4	Number of curves in isogeny class
Curves	4845b1 4845b2 4845b3 4845b4	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+  4  4 -6 17+ 19+	Hecke eigenvalues for primes less than 20
L	4.0170670764541	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	77520cm 14535m 24225m 82365o	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for isogeny class 4845b

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
1	+	+	4	4	-6	+	+	0	-2	0	6	-6	-12	-8	10	4	-10	16	12	-2	0	12	-10	-14

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Quadratic twists for isogeny class 4845b

-4	-3	5	17	-19
77520cm	14535m	24225m	82365o	92055q

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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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