Cremona's table of elliptic curves

2850 = 2 · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	2850r	Isogeny class
Conductor	2850	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	28227528600000000 = 29 · 3 · 58 · 196	Discriminant
Eigenvalues	2- 3+ 5+ -2  0 -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-186938,-30118969]	[a1,a2,a3,a4,a6]
Generators	[-235:1067:1]	Generators of the group modulo torsion
j	46237740924063961/1806561830400	j-invariant
L	3.9709450986998	L(r)(E,1)/r!
Ω	0.23015446626826	Real period
R	0.31950724892987	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	22800cu4 91200cy4 8550l4 570f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2850r4

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

---

Quadratic twists for elliptic curve 2850r4

-4	8	-3	5	-19
22800cu4	91200cy4	8550l4	570f4	54150x4

---

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