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	1	Number of curves in isogeny class
Curves	1848a1	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -1 7- 11+ -3  4  1	Hecke eigenvalues for primes less than 20
L	1.2174372607542	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3696l 14784bk 5544v 46200cn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1848a

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	-	+	-3	4	1	2	-1	4	-3	4	2	5	2	9	-2	-3	12	7	-8	12	-2	10

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Quadratic twists for isogeny class 1848a

-4	8	-3	5	-7	-11
3696l	14784bk	5544v	46200cn	12936i	20328o

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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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