Cremona's table of elliptic curves

1098 = 2 · 3² · 61

Field	Data	Notes
Atkin-Lehner	2+ 3+ 61-	Signs for the Atkin-Lehner involutions
Class	1098b	Isogeny class
Conductor	1098	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	-2458957824 = -1 · 211 · 39 · 61	Discriminant
Eigenvalues	2+ 3+  3  0  2 -2  1  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,282,-1612]	[a1,a2,a3,a4,a6]
j	125751501/124928	j-invariant
L	1.577115504932	L(r)(E,1)/r!
Ω	0.78855775246602	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	8784m1 35136d1 1098h1 27450bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1098b1

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	0	2	-2	1	2	9	4	-6	-5	0	5	2	2	-6	-	4	9	11	-2	9	-11	3

---

Quadratic twists for elliptic curve 1098b1

-4	8	-3	5	-7	61
8784m1	35136d1	1098h1	27450bg1	53802d1	66978k1

---

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