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	3330t	Isogeny class
Conductor	3330	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	2157840 = 24 · 36 · 5 · 37	Discriminant
Eigenvalues	2- 3- 5-  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-47,-89]	[a1,a2,a3,a4,a6]
j	15438249/2960	j-invariant
L	3.7014684046215	L(r)(E,1)/r!
Ω	1.8507342023108	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	26640bm1 106560bs1 370a1 16650r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330t1

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	4	2	2	-4	0	6	-4	+	6	4	8	-10	-4	10	-8	0	10	-4	0	-2	6

---

Quadratic twists for elliptic curve 3330t1

-4	8	-3	5	37
26640bm1	106560bs1	370a1	16650r1	123210x1

---

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