Cremona's table of elliptic curves

1856 = 2⁶ · 29

Field	Data	Notes
Atkin-Lehner	2- 29-	Signs for the Atkin-Lehner involutions
Conductor	1856	Conductor
Count	2	Number of curves in isogeny class
Curves	1856j1 1856j2	Curves in isogeny class
deg	256	Modular degree for the optimal curve
Eigenvalues	2-  1 -3  4  3 -5 -6 -4	Hecke eigenvalues for primes less than 20
L	3.1356221155992	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1856d 464d 16704cq 46400bz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1856j

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	3	-5	-6	-4	6	-	-5	-8	0	-1	3	-3	6	-2	8	-6	-16	-11	6	-12	8

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Quadratic twists for isogeny class 1856j

-4	8	-3	5	-7	29
1856d	464d	16704cq	46400bz	90944eb	53824y

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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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