Elliptic curve isogeny class with Cremona label 165620i (LMFDB label 165620.o)

• Label: 165620i
• Number of curves: $2$
• Conductor: $165620$
• CM: no
• Rank: $0$

Elliptic curves in class 165620i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
165620.o2	165620i1	\([0, -1, 0, -44165, 17542225]\)	\(-65536/875\)	\(-127202712457184000\)	\([]\)	\(1347840\)	\(1.9637\)	\(\Gamma_0(N)\)-optimal
165620.o1	165620i2	\([0, -1, 0, -6668965, 6631080065]\)	\(-225637236736/1715\)	\(-249317316416080640\)	\([]\)	\(4043520\)	\(2.5130\)

Rank

The elliptic curves in class 165620i have rank \(0\).

Complex multiplication

The elliptic curves in class 165620i do not have complex multiplication.

Modular form 165620.2.a.i

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.