Cremona's table of elliptic curves

2072 = 2³ · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 7+ 37+	Signs for the Atkin-Lehner involutions
Class	2072d	Isogeny class
Conductor	2072	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-10679020436224 = -1 · 28 · 77 · 373	Discriminant
Eigenvalues	2-  0 -1 7+  5 -1  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32828,2294756]	[a1,a2,a3,a4,a6]
j	-15283295882302464/41714923579	j-invariant
L	1.4463829375434	L(r)(E,1)/r!
Ω	0.72319146877172	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	4144b1 16576b1 18648e1 51800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2072d1

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	-1	+	5	-1	6	-4	0	0	5	+	2	2	-2	9	3	6	5	1	10	4	14	15	9

---

Quadratic twists for elliptic curve 2072d1

-4	8	-3	5	-7	37
4144b1	16576b1	18648e1	51800c1	14504g1	76664a1

---

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