Cremona's table of elliptic curves

1845 = 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	3- 5- 41-	Signs for the Atkin-Lehner involutions
Class	1845g	Isogeny class
Conductor	1845	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	6725025 = 38 · 52 · 41	Discriminant
Eigenvalues	1 3- 5-  0 -2  0  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-54,103]	[a1,a2,a3,a4,a6]
j	24137569/9225	j-invariant
L	2.1602933220621	L(r)(E,1)/r!
Ω	2.1602933220621	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29520cd1 118080bg1 615a1 9225y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1845g1

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	-	-	0	-2	0	0	2	8	10	4	2	-	-4	12	0	0	2	-8	-14	-6	10	12	18	-16

---

Quadratic twists for elliptic curve 1845g1

-4	8	-3	5	-7	41
29520cd1	118080bg1	615a1	9225y1	90405q1	75645o1

---

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