Cremona's table of elliptic curves

1044 = 2² · 3² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 29-	Signs for the Atkin-Lehner involutions
Class	1044h	Isogeny class
Conductor	1044	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-156950784 = -1 · 28 · 36 · 292	Discriminant
Eigenvalues	2- 3-  2  4  6  2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-39,-610]	[a1,a2,a3,a4,a6]
j	-35152/841	j-invariant
L	2.3662242551062	L(r)(E,1)/r!
Ω	0.78874141836874	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	4176be2 16704w2 116c1 26100bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1044h2

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

---

Quadratic twists for elliptic curve 1044h2

-4	8	-3	5	-7	-11	29
4176be2	16704w2	116c1	26100bb2	51156bc2	126324j2	30276j2

---

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