Cremona's table of elliptic curves

2145 = 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 11- 13-	Signs for the Atkin-Lehner involutions
Class	2145a	Isogeny class
Conductor	2145	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-117277875 = -1 · 38 · 53 · 11 · 13	Discriminant
Eigenvalues	2 3+ 5+  0 11- 13- -7  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1996,35001]	[a1,a2,a3,a4,a6]
Generators	[218:77:8]	Generators of the group modulo torsion
j	-879878867636224/117277875	j-invariant
L	4.7033461643705	L(r)(E,1)/r!
Ω	1.7995425651364	Real period
R	1.3068171477272	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	34320bw1 6435n1 10725j1 105105cn1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2145a1

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	-	-	-7	1	-6	-8	6	3	-9	1	13	0	-6	-14	5	-10	0	-10	-6	6	13

---

Quadratic twists for elliptic curve 2145a1

-4	-3	5	-7	-11	13
34320bw1	6435n1	10725j1	105105cn1	23595b1	27885j1

---

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