Elliptic curve isogeny class with Cremona label 187200no (LMFDB label 187200.mf)

• Label: 187200no
• Number of curves: $2$
• Conductor: $187200$
• CM: no
• Rank: $1$

Elliptic curves in class 187200no

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
187200.mf2	187200no1	\([0, 0, 0, -300, -1298000]\)	\(-4/975\)	\(-727833600000000\)	\([2]\)	\(589824\)	\(1.5306\)	\(\Gamma_0(N)\)-optimal
187200.mf1	187200no2	\([0, 0, 0, -180300, -29018000]\)	\(434163602/7605\)	\(11354204160000000\)	\([2]\)	\(1179648\)	\(1.8772\)

Rank

The elliptic curves in class 187200no have rank \(1\).

Complex multiplication

The elliptic curves in class 187200no do not have complex multiplication.

Modular form 187200.2.a.no

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.