Elliptic curve isogeny class with Cremona label 180918bq (LMFDB label 180918.n)

• Label: 180918bq
• Number of curves: $4$
• Conductor: $180918$
• CM: no
• Rank: $1$

Elliptic curves in class 180918bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
180918.n3	180918bq1	\([1, -1, 0, -38187, 228933]\)	\(57066625/32832\)	\(3543169130275392\)	\([2]\)	\(1140480\)	\(1.6732\)	\(\Gamma_0(N)\)-optimal
180918.n4	180918bq2	\([1, -1, 0, 152253, 1714365]\)	\(3616805375/2105352\)	\(-227205720478909512\)	\([2]\)	\(2280960\)	\(2.0198\)
180918.n1	180918bq3	\([1, -1, 0, -2037807, -1119158343]\)	\(8671983378625/82308\)	\(8882528166870948\)	\([2]\)	\(3421440\)	\(2.2226\)
180918.n2	180918bq4	\([1, -1, 0, -1990197, -1173976497]\)	\(-8078253774625/846825858\)	\(-91387891044851748498\)	\([2]\)	\(6842880\)	\(2.5691\)

Rank

The elliptic curves in class 180918bq have rank \(1\).

Complex multiplication

The elliptic curves in class 180918bq do not have complex multiplication.

Modular form 180918.2.a.bq

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.