Elliptic curve isogeny class with Cremona label 18130l (LMFDB label 18130.l)

• Label: 18130l
• Number of curves: $3$
• Conductor: $18130$
• CM: no
• Rank: $0$

Elliptic curves in class 18130l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18130.l1	18130l1	\([1, 1, 0, -2622, -52786]\)	\(-16954786009/370\)	\(-43530130\)	\([]\)	\(13608\)	\(0.58174\)	\(\Gamma_0(N)\)-optimal
18130.l2	18130l2	\([1, 1, 0, -907, -118299]\)	\(-702595369/50653000\)	\(-5959274797000\)	\([]\)	\(40824\)	\(1.1310\)
18130.l3	18130l3	\([1, 1, 0, 8158, 3165044]\)	\(510273943271/37000000000\)	\(-4353013000000000\)	\([]\)	\(122472\)	\(1.6804\)

Rank

The elliptic curves in class 18130l have rank \(0\).

Complex multiplication

The elliptic curves in class 18130l do not have complex multiplication.

Modular form 18130.2.a.l

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.

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.