Elliptic curve isogeny class with LMFDB label 16905.o (Cremona label 16905j)

• Label: 16905.o
• Number of curves: $2$
• Conductor: $16905$
• CM: no
• Rank: $1$

Elliptic curves in class 16905.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16905.o1	16905j1	\([0, -1, 1, -1045, -39894]\)	\(-1073741824/5325075\)	\(-626489748675\)	\([]\)	\(20736\)	\(0.94805\)	\(\Gamma_0(N)\)-optimal
16905.o2	16905j2	\([0, -1, 1, 9245, 981903]\)	\(742692847616/3992296875\)	\(-469689735046875\)	\([]\)	\(62208\)	\(1.4974\)

Rank

The elliptic curves in class 16905.o have rank \(1\).

Complex multiplication

The elliptic curves in class 16905.o do not have complex multiplication.

Modular form 16905.2.a.o

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.