Cremona's table of elliptic curves

2016 = 2⁵ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+	Signs for the Atkin-Lehner involutions
Class	2016i	Isogeny class
Conductor	2016	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5419008 = 212 · 33 · 72	Discriminant
Eigenvalues	2- 3+  0 7+  4  2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-780,-8384]	[a1,a2,a3,a4,a6]
j	474552000/49	j-invariant
L	1.8067937951069	L(r)(E,1)/r!
Ω	0.90339689755344	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2016j2 4032s1 2016a2 50400j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2016i2

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	+	4	2	-4	0	4	4	8	-2	4	-8	8	-4	8	-2	-8	12	6	8	16	12	-2

---

Quadratic twists for elliptic curve 2016i2

-4	8	-3	5	-7
2016j2	4032s1	2016a2	50400j2	14112bh2

---

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