Elliptic curve isogeny class with Cremona label 350658m (LMFDB label 350658.m)

• Label: 350658m
• Number of curves: $2$
• Conductor: $350658$
• CM: no
• Rank: $1$

Elliptic curves in class 350658m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
350658.m2	350658m1	\([1, -1, 0, -16056783, 30301473901]\)	\(-354499561600764553/101902222098432\)	\(-131603455810048893124608\)	\([2]\)	\(43253760\)	\(3.1512\)	\(\Gamma_0(N)\)-optimal
350658.m1	350658m2	\([1, -1, 0, -272538063, 1731746989165]\)	\(1733490909744055732873/99355964553216\)	\(128315045749577859938304\)	\([2]\)	\(86507520\)	\(3.4977\)

Rank

The elliptic curves in class 350658m have rank \(1\).

Complex multiplication

The elliptic curves in class 350658m do not have complex multiplication.

Modular form 350658.2.a.m

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.