Elliptic curve isogeny class with Cremona label 353600ev (LMFDB label 353600.ev)

• Label: 353600ev
• Number of curves: $2$
• Conductor: $353600$
• CM: no
• Rank: $1$

Elliptic curves in class 353600ev

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
353600.ev1	353600ev1	\([0, -1, 0, -95233, 11342337]\)	\(23320116793/2873\)	\(11767808000000\)	\([2]\)	\(1572864\)	\(1.5314\)	\(\Gamma_0(N)\)-optimal
353600.ev2	353600ev2	\([0, -1, 0, -87233, 13318337]\)	\(-17923019113/8254129\)	\(-33808912384000000\)	\([2]\)	\(3145728\)	\(1.8780\)

Rank

The elliptic curves in class 353600ev have rank \(1\).

Complex multiplication

The elliptic curves in class 353600ev do not have complex multiplication.

Modular form 353600.2.a.ev

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.