Cremona's table of elliptic curves

2256 = 2⁴ · 3 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3+ 47-	Signs for the Atkin-Lehner involutions
Class	2256c	Isogeny class
Conductor	2256	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	2131432704 = 28 · 311 · 47	Discriminant
Eigenvalues	2+ 3+ -3  1 -5 -4 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4577,-117651]	[a1,a2,a3,a4,a6]
j	41430613746688/8325909	j-invariant
L	0.58043241327909	L(r)(E,1)/r!
Ω	0.58043241327909	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1128g1 9024bw1 6768c1 56400o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256c1

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	1	-5	-4	-4	2	1	-3	8	-3	2	4	-	-2	6	2	4	-6	-16	9	-6	6	13

---

Quadratic twists for elliptic curve 2256c1

-4	8	-3	5	-7	-47
1128g1	9024bw1	6768c1	56400o1	110544bi1	106032g1

---

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