Cremona's table of elliptic curves

1800 = 2³ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	1800k	Isogeny class
Conductor	1800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	23328000 = 28 · 36 · 53	Discriminant
Eigenvalues	2+ 3- 5- -2  4 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-255,-1550]	[a1,a2,a3,a4,a6]
Generators	[-9:4:1]	Generators of the group modulo torsion
j	78608	j-invariant
L	2.8509284860122	L(r)(E,1)/r!
Ω	1.1956352223109	Real period
R	1.1922233607764	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3600s2 14400ch2 200b2 1800w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1800k2

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

---

Quadratic twists for elliptic curve 1800k2

-4	8	-3	5	-7
3600s2	14400ch2	200b2	1800w2	88200eb2

---

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