Elliptic curve isogeny class with LMFDB label 18590.o (Cremona label 18590n)

• Label: 18590.o
• Number of curves: $2$
• Conductor: $18590$
• CM: no
• Rank: $1$

Elliptic curves in class 18590.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18590.o1	18590n1	\([1, 0, 0, -14960, 709760]\)	\(-76711450249/851840\)	\(-4111668978560\)	\([]\)	\(64512\)	\(1.2353\)	\(\Gamma_0(N)\)-optimal
18590.o2	18590n2	\([1, 0, 0, 50105, 3689737]\)	\(2882081488391/2883584000\)	\(-13918509203456000\)	\([]\)	\(193536\)	\(1.7846\)

Rank

The elliptic curves in class 18590.o have rank \(1\).

Complex multiplication

The elliptic curves in class 18590.o do not have complex multiplication.

Modular form 18590.2.a.o

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.