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	3300a	Isogeny class
Conductor	3300	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	-229996800 = -1 · 28 · 33 · 52 · 113	Discriminant
Eigenvalues	2- 3+ 5+  1 11+  4 -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5508,159192]	[a1,a2,a3,a4,a6]
j	-2888047810000/35937	j-invariant
L	1.6054083943827	L(r)(E,1)/r!
Ω	1.6054083943827	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	13200cj1 52800cu1 9900n1 3300o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300a1

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
-	+	+	1	+	4	-3	5	-3	-6	8	7	9	-8	3	-6	3	14	-2	-9	-2	-1	-12	18	-11

---

Quadratic twists for elliptic curve 3300a1

-4	8	-3	5	-11
13200cj1	52800cu1	9900n1	3300o1	36300i1

---

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