Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Conductor	1848	Conductor
Count	6	Number of curves in isogeny class
Curves	1848j1 1848j2 1848j3 1848j4 1848j5 1848j6	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes less than 20
L	3.0571286726125	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3696g 14784i 5544g 46200g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1848j

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

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Quadratic twists for isogeny class 1848j

-4	8	-3	5	-7	-11
3696g	14784i	5544g	46200g	12936n	20328m

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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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