Cremona's table of elliptic curves

2300 = 2² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	2300g	Isogeny class
Conductor	2300	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-40227143750000 = -1 · 24 · 58 · 235	Discriminant
Eigenvalues	2- -3 5+ -2  0  3 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1825,306625]	[a1,a2,a3,a4,a6]
Generators	[-15:575:1]	Generators of the group modulo torsion
j	-2688885504/160908575	j-invariant
L	1.8249320772021	L(r)(E,1)/r!
Ω	0.53375274233613	Real period
R	0.11396863081925	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	9200w1 36800bf1 20700k1 460b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2300g1

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
-	-3	+	-2	0	3	-4	-4	-	1	1	8	11	10	1	6	-8	-8	-12	13	-7	-12	-16	-6	-2

---

Quadratic twists for elliptic curve 2300g1

-4	8	-3	5	-7	-23
9200w1	36800bf1	20700k1	460b1	112700v1	52900v1

---

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