Elliptic curve isogeny class with Cremona label 346560en (LMFDB label 346560.en)

• Label: 346560en
• Number of curves: $2$
• Conductor: $346560$
• CM: no
• Rank: $0$

Elliptic curves in class 346560en

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
346560.en1	346560en1	\([0, -1, 0, -2305, 49825]\)	\(-14317849/2700\)	\(-255511756800\)	\([]\)	\(497664\)	\(0.91300\)	\(\Gamma_0(N)\)-optimal
346560.en2	346560en2	\([0, -1, 0, 15935, -245663]\)	\(4728305591/3000000\)	\(-283901952000000\)	\([]\)	\(1492992\)	\(1.4623\)

Rank

The elliptic curves in class 346560en have rank \(0\).

Complex multiplication

The elliptic curves in class 346560en do not have complex multiplication.

Modular form 346560.2.a.en

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.