Cremona's table of elliptic curves

1849 = 43²

Field	Data	Notes
Atkin-Lehner	43+	Signs for the Atkin-Lehner involutions
Conductor	1849	Conductor
Count	2	Number of curves in isogeny class
Curves	1849a1 1849a2	Curves in isogeny class
deg	264	Modular degree for the optimal curve
Eigenvalues	0  0  0  0 -1  3  5  0	Hecke eigenvalues for primes less than 20
L	2.4594606902561	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	29584h 118336a 16641e 46225a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1849a

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	0	0	0	-1	3	5	0	7	0	-9	0	-11	+	-4	-13	8	0	-15	0	0	12	-17	0	-1

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Quadratic twists for isogeny class 1849a

-4	8	-3	5	-7	-43
29584h	118336a	16641e	46225a	90601a	1849a

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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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