Cremona's table of elliptic curves

1887 = 3 · 17 · 37

Field	Data	Notes
Atkin-Lehner	3- 17- 37-	Signs for the Atkin-Lehner involutions
Class	1887c	Isogeny class
Conductor	1887	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	600	Modular degree for the optimal curve
Δ	-181599219 = -1 · 33 · 173 · 372	Discriminant
Eigenvalues	0 3-  3  2  3  5 17- -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,51,650]	[a1,a2,a3,a4,a6]
j	14384365568/181599219	j-invariant
L	2.6616157337915	L(r)(E,1)/r!
Ω	1.3308078668958	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30192u1 120768j1 5661g1 47175a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1887c1

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	-	3	2	3	5	-	-7	-3	6	2	-	-9	-1	-6	0	-6	8	8	0	2	2	6	-6	8

---

Quadratic twists for elliptic curve 1887c1

-4	8	-3	5	-7	17	37
30192u1	120768j1	5661g1	47175a1	92463b1	32079a1	69819c1

---

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