Elliptic curve isogeny class with LMFDB label 161700.bm (Cremona label 161700el)

• Label: 161700.bm
• Number of curves: $2$
• Conductor: $161700$
• CM: no
• Rank: $1$

Elliptic curves in class 161700.bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
161700.bm1	161700el2	\([0, -1, 0, -13568508, -19232800488]\)	\(1711503051568/7425\)	\(1198502127900000000\)	\([2]\)	\(5419008\)	\(2.6758\)
161700.bm2	161700el1	\([0, -1, 0, -834633, -310262238]\)	\(-6373654528/441045\)	\(-4449439149828750000\)	\([2]\)	\(2709504\)	\(2.3292\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 161700.bm have rank \(1\).

Complex multiplication

The elliptic curves in class 161700.bm do not have complex multiplication.

Modular form 161700.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.