Cremona's table of elliptic curves

1206 = 2 · 3² · 67

Field	Data	Notes
Atkin-Lehner	2- 3+ 67+	Signs for the Atkin-Lehner involutions
Class	1206c	Isogeny class
Conductor	1206	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-5275044 = -1 · 22 · 39 · 67	Discriminant
Eigenvalues	2- 3+ -1 -1  2  0  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-218,-1187]	[a1,a2,a3,a4,a6]
j	-57960603/268	j-invariant
L	2.485141044768	L(r)(E,1)/r!
Ω	0.621285261192	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	9648h1 38592g1 1206a1 30150i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1206c1

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
-	+	-1	-1	2	0	6	4	3	2	-7	7	11	13	12	-9	-5	-10	+	-8	3	-8	-3	18	-14

---

Quadratic twists for elliptic curve 1206c1

-4	8	-3	5	-7	-67
9648h1	38592g1	1206a1	30150i1	59094bi1	80802c1

---

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