Elliptic curve isogeny class with LMFDB label 344760.cn (Cremona label 344760cn)

• Label: 344760.cn
• Number of curves: $2$
• Conductor: $344760$
• CM: no
• Rank: $1$

Elliptic curves in class 344760.cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
344760.cn1	344760cn1	\([0, 1, 0, -47491760, 125767815408]\)	\(2396726313900986596/4154072495625\)	\(20532136456740055680000\)	\([2]\)	\(30965760\)	\(3.1752\)	\(\Gamma_0(N)\)-optimal
344760.cn2	344760cn2	\([0, 1, 0, -32640040, 205872052400]\)	\(-389032340685029858/1627263833203125\)	\(-16085999033301693600000000\)	\([2]\)	\(61931520\)	\(3.5218\)

Rank

The elliptic curves in class 344760.cn have rank \(1\).

Complex multiplication

The elliptic curves in class 344760.cn do not have complex multiplication.

Modular form 344760.2.a.cn

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.