Elliptic curve isogeny class with Cremona label 152880fo (LMFDB label 152880.gn)

• Label: 152880fo
• Number of curves: $4$
• Conductor: $152880$
• CM: no
• Rank: $1$

Elliptic curves in class 152880fo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
152880.gn4	152880fo1	\([0, 1, 0, -313175, 27735000]\)	\(1804588288006144/866455078125\)	\(1631001175781250000\)	\([2]\)	\(2064384\)	\(2.1884\)	\(\Gamma_0(N)\)-optimal
152880.gn2	152880fo2	\([0, 1, 0, -4141300, 3240297500]\)	\(260798860029250384/196803140625\)	\(5927345328996000000\)	\([2, 2]\)	\(4128768\)	\(2.5350\)
152880.gn1	152880fo3	\([0, 1, 0, -66248800, 207524286500]\)	\(266912903848829942596/152163375\)	\(18331513759104000\)	\([2]\)	\(8257536\)	\(2.8816\)
152880.gn3	152880fo4	\([0, 1, 0, -3283800, 4621558500]\)	\(-32506165579682596/57814914850875\)	\(-6965111723305567104000\)	\([4]\)	\(8257536\)	\(2.8816\)

Rank

The elliptic curves in class 152880fo have rank \(1\).

Complex multiplication

The elliptic curves in class 152880fo do not have complex multiplication.

Modular form 152880.2.a.fo

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.