Elliptic curve isogeny class with LMFDB label 185130.et (Cremona label 185130g)

• Label: 185130.et
• Number of curves: $2$
• Conductor: $185130$
• CM: no
• Rank: $1$

Elliptic curves in class 185130.et

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
185130.et1	185130g2	\([1, -1, 1, -7232072, -7725422581]\)	\(-32391289681150609/1228250000000\)	\(-1586245532924250000000\)	\([]\)	\(10886400\)	\(2.8380\)
185130.et2	185130g1	\([1, -1, 1, 434488, -34329589]\)	\(7023836099951/4456448000\)	\(-5755359847514112000\)	\([]\)	\(3628800\)	\(2.2887\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 185130.et have rank \(1\).

Complex multiplication

The elliptic curves in class 185130.et do not have complex multiplication.

Modular form 185130.2.a.et

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.