Elliptic curve isogeny class with LMFDB label 262990.n (Cremona label 262990n)

• Label: 262990.n
• Number of curves: $4$
• Conductor: $262990$
• CM: no
• Rank: $1$

Elliptic curves in class 262990.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
262990.n1	262990n4	\([1, 1, 0, -4239202, -3361203876]\)	\(349046010201856969/7245875000\)	\(174897807777875000\)	\([2]\)	\(8957952\)	\(2.4273\)
262990.n2	262990n3	\([1, 1, 0, -274122, -48776044]\)	\(94376601570889/12235496000\)	\(295335128949224000\)	\([2]\)	\(4478976\)	\(2.0807\)
262990.n3	262990n2	\([1, 1, 0, -87717, 2329271]\)	\(3092354182009/1689383150\)	\(40777602350562350\)	\([2]\)	\(2985984\)	\(1.8780\)
262990.n4	262990n1	\([1, 1, 0, -67487, 6711089]\)	\(1408317602329/2153060\)	\(51969634311140\)	\([2]\)	\(1492992\)	\(1.5314\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 262990.n have rank \(1\).

Complex multiplication

The elliptic curves in class 262990.n do not have complex multiplication.

Modular form 262990.2.a.n

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.