Cremona's table of elliptic curves

1254 = 2 · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 19+	Signs for the Atkin-Lehner involutions
Class	1254f	Isogeny class
Conductor	1254	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	1176	Modular degree for the optimal curve
Δ	-21120891264 = -1 · 27 · 37 · 11 · 193	Discriminant
Eigenvalues	2- 3+ -1  2 11+  0  5 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3276,-73875]	[a1,a2,a3,a4,a6]
j	-3888335020909249/21120891264	j-invariant
L	2.2079532714634	L(r)(E,1)/r!
Ω	0.31542189592335	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	10032s1 40128bc1 3762g1 31350p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254f1

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	2	+	0	5	+	4	3	6	-3	6	1	12	14	0	-5	-5	0	0	8	-2	-5	4

---

Quadratic twists for elliptic curve 1254f1

-4	8	-3	5	-7	-11	-19
10032s1	40128bc1	3762g1	31350p1	61446cz1	13794e1	23826q1

---

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