Cremona's table of elliptic curves

1849 = 43²

Field	Data	Notes
Atkin-Lehner	43-	Signs for the Atkin-Lehner involutions
Class	1849d	Isogeny class
Conductor	1849	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3696	Modular degree for the optimal curve
Δ	-271818611107 = -1 · 437	Discriminant
Eigenvalues	2  2  4  0  3 -5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-616,-25561]	[a1,a2,a3,a4,a6]
j	-4096/43	j-invariant
L	6.6522678359531	L(r)(E,1)/r!
Ω	0.41576673974707	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29584n1 118336q1 16641l1 46225j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1849d1

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	4	0	3	-5	-3	2	-1	6	-1	0	5	-	4	-5	-12	-2	-3	-2	-2	-8	15	4	7

---

Quadratic twists for elliptic curve 1849d1

-4	8	-3	5	-7	-43
29584n1	118336q1	16641l1	46225j1	90601e1	43a1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations