Cremona's table of elliptic curves

3600 = 2⁴ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Class	3600o	Isogeny class
Conductor	3600	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-43740000000 = -1 · 28 · 37 · 57	Discriminant
Eigenvalues	2+ 3- 5+  4  0  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,825,-4250]	[a1,a2,a3,a4,a6]
j	21296/15	j-invariant
L	2.5714753393268	L(r)(E,1)/r!
Ω	0.64286883483171	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	1800h1 14400ee1 1200g1 720e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600o1

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
+	-	+	4	0	6	-2	-4	8	6	0	6	-10	-4	-8	10	0	6	-4	0	14	-16	-12	-2	-2

---

Quadratic twists for elliptic curve 3600o1

-4	8	-3	5
1800h1	14400ee1	1200g1	720e1

---

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