Elliptic curve isogeny class with LMFDB label 86190.g (Cremona label 86190a)

• Label: 86190.g
• Number of curves: $2$
• Conductor: $86190$
• CM: no
• Rank: $1$

Elliptic curves in class 86190.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
86190.g1	86190a1	\([1, 1, 0, -2301783, 1327857237]\)	\(279419703685750081/3666124800000\)	\(17695684179763200000\)	\([2]\)	\(2580480\)	\(2.5010\)	\(\Gamma_0(N)\)-optimal
86190.g2	86190a2	\([1, 1, 0, -354903, 3504858453]\)	\(-1024222994222401/1098922500000000\)	\(-5304289013302500000000\)	\([2]\)	\(5160960\)	\(2.8476\)

Rank

The elliptic curves in class 86190.g have rank \(1\).

Complex multiplication

The elliptic curves in class 86190.g do not have complex multiplication.

Modular form 86190.2.a.g

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.