Elliptic curve isogeny class with Cremona label 353220o (LMFDB label 353220.o)

• Label: 353220o
• Number of curves: $2$
• Conductor: $353220$
• CM: no
• Rank: $1$

Elliptic curves in class 353220o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
353220.o1	353220o1	\([0, -1, 0, -4485, 43950]\)	\(1048576/525\)	\(4996515896400\)	\([2]\)	\(602112\)	\(1.1294\)	\(\Gamma_0(N)\)-optimal
353220.o2	353220o2	\([0, -1, 0, 16540, 321480]\)	\(3286064/2205\)	\(-335765868238080\)	\([2]\)	\(1204224\)	\(1.4760\)

Rank

The elliptic curves in class 353220o have rank \(1\).

Complex multiplication

The elliptic curves in class 353220o do not have complex multiplication.

Modular form 353220.2.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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.