Cremona's table of elliptic curves

1925 = 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	1925a	Isogeny class
Conductor	1925	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1805303700921875 = -1 · 56 · 72 · 119	Discriminant
Eigenvalues	0 -1 5+ 7+ 11+  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,11017,-1998882]	[a1,a2,a3,a4,a6]
Generators	[128:1221:1]	Generators of the group modulo torsion
j	9463555063808/115539436859	j-invariant
L	2.0525105175141	L(r)(E,1)/r!
Ω	0.23089787985288	Real period
R	4.4446283327113	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	30800bt3 123200s3 17325n3 77b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925a3

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
0	-1	+	+	+	4	6	2	-3	-6	5	-11	6	-8	0	6	-9	-10	-5	9	-2	-10	-12	-3	1

---

Quadratic twists for elliptic curve 1925a3

-4	8	-3	5	-7	-11
30800bt3	123200s3	17325n3	77b2	13475a3	21175q3

---

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