Elliptic curve isogeny class with LMFDB label 16650.y (Cremona label 16650j)

• Label: 16650.y
• Number of curves: $3$
• Conductor: $16650$
• CM: no
• Rank: $0$

Elliptic curves in class 16650.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16650.y1	16650j1	\([1, -1, 0, -12042, -505634]\)	\(-16954786009/370\)	\(-4214531250\)	\([]\)	\(20736\)	\(0.96281\)	\(\Gamma_0(N)\)-optimal
16650.y2	16650j2	\([1, -1, 0, -4167, -1159259]\)	\(-702595369/50653000\)	\(-576969328125000\)	\([]\)	\(62208\)	\(1.5121\)
16650.y3	16650j3	\([1, -1, 0, 37458, 31100116]\)	\(510273943271/37000000000\)	\(-421453125000000000\)	\([]\)	\(186624\)	\(2.0614\)

Rank

The elliptic curves in class 16650.y have rank \(0\).

Complex multiplication

The elliptic curves in class 16650.y do not have complex multiplication.

Modular form 16650.2.a.y

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.