Elliptic curve isogeny class with Cremona label 27225bm (LMFDB label 27225.g)

• Label: 27225bm
• Number of curves: $2$
• Conductor: $27225$
• CM: no
• Rank: $1$

Elliptic curves in class 27225bm

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
27225.g2	27225bm1	[1, -1, 1, -6755, 215372]	[]	20160	\(\Gamma_0(N)\)-optimal
27225.g1	27225bm2	[1, -1, 1, -68630, -27034378]	[]	221760

Rank

The elliptic curves in class 27225bm have rank \(1\).

Complex multiplication

The elliptic curves in class 27225bm do not have complex multiplication.

Modular form 27225.2.a.bm

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.

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.