Cremona's table of elliptic curves

3330 = 2 · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	3330l	Isogeny class
Conductor	3330	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	640	Modular degree for the optimal curve
Δ	-8091900 = -1 · 22 · 37 · 52 · 37	Discriminant
Eigenvalues	2+ 3- 5-  4  2  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-9,-135]	[a1,a2,a3,a4,a6]
j	-117649/11100	j-invariant
L	2.0637248250119	L(r)(E,1)/r!
Ω	1.031862412506	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	26640ce1 106560bm1 1110o1 16650cb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330l1

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	2	2	2	2	0	-2	4	-	6	-4	10	-6	-4	4	-12	-8	-2	-4	-4	6	12

---

Quadratic twists for elliptic curve 3330l1

-4	8	-3	5	37
26640ce1	106560bm1	1110o1	16650cb1	123210cx1

---

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