Cremona's table of elliptic curves

3300 = 2² · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	3300n	Isogeny class
Conductor	3300	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-211200 = -1 · 28 · 3 · 52 · 11	Discriminant
Eigenvalues	2- 3- 5+ -5 11- -4  5  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,12,-12]	[a1,a2,a3,a4,a6]
j	27440/33	j-invariant
L	1.6965408573706	L(r)(E,1)/r!
Ω	1.6965408573706	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	13200bo1 52800w1 9900m1 3300i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300n1

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
-	-	+	-5	-	-4	5	7	-9	2	4	7	-7	0	9	-2	-7	2	-2	5	2	-3	8	6	5

---

Quadratic twists for elliptic curve 3300n1

-4	8	-3	5	-11
13200bo1	52800w1	9900m1	3300i1	36300bz1

---

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