Cremona's table of elliptic curves

2150 = 2 · 5² · 43

Field	Data	Notes
Atkin-Lehner	2+ 5+ 43+	Signs for the Atkin-Lehner involutions
Class	2150a	Isogeny class
Conductor	2150	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2624511718750 = -1 · 2 · 515 · 43	Discriminant
Eigenvalues	2+  2 5+  1 -6 -5  6 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-140650,-20361750]	[a1,a2,a3,a4,a6]
Generators	[29866245:22687290:68921]	Generators of the group modulo torsion
j	-19693718244927649/167968750	j-invariant
L	3.0310741966805	L(r)(E,1)/r!
Ω	0.12326335963895	Real period
R	12.29511432091	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17200x3 68800bk3 19350bx3 430c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2150a3

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	+	1	-6	-5	6	-7	6	-3	5	-2	-3	+	-12	-6	-12	-1	13	12	-11	-1	0	6	-8

---

Quadratic twists for elliptic curve 2150a3

-4	8	-3	5	-7	-43
17200x3	68800bk3	19350bx3	430c3	105350h3	92450bc3

---

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