Elliptic curve isogeny class with Cremona label 239343g (LMFDB label 239343.g)

• Label: 239343g
• Number of curves: $4$
• Conductor: $239343$
• CM: no
• Rank: $0$

Elliptic curves in class 239343g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
239343.g3	239343g1	\([1, 0, 1, -435735, -109966211]\)	\(194476894355953/1577509713\)	\(74215334234142153\)	\([2]\)	\(2764800\)	\(2.0641\)	\(\Gamma_0(N)\)-optimal
239343.g2	239343g2	\([1, 0, 1, -740780, 63787421]\)	\(955584307409473/515565644841\)	\(24255239974877949921\)	\([2, 2]\)	\(5529600\)	\(2.4107\)
239343.g1	239343g3	\([1, 0, 1, -9211645, 10747242359]\)	\(1837441904940946513/2571676151733\)	\(120986770204968661773\)	\([2]\)	\(11059200\)	\(2.7572\)
239343.g4	239343g4	\([1, 0, 1, 2849365, 501785111]\)	\(54380923886781647/33780306888549\)	\(-1589224298022156516669\)	\([2]\)	\(11059200\)	\(2.7572\)

Rank

The elliptic curves in class 239343g have rank \(0\).

Complex multiplication

The elliptic curves in class 239343g do not have complex multiplication.

Modular form 239343.2.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 Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.