Elliptic curve isogeny class with LMFDB label 119700.by (Cremona label 119700bk)

• Label: 119700.by
• Number of curves: $2$
• Conductor: $119700$
• CM: no
• Rank: $1$

Elliptic curves in class 119700.by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
119700.by1	119700bk2	\([0, 0, 0, -330375, 51250750]\)	\(1367595682000/402300927\)	\(1173109503132000000\)	\([2]\)	\(1990656\)	\(2.1730\)
119700.by2	119700bk1	\([0, 0, 0, 55500, 5331625]\)	\(103737344000/127413867\)	\(-23221177260750000\)	\([2]\)	\(995328\)	\(1.8264\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 119700.by have rank \(1\).

Complex multiplication

The elliptic curves in class 119700.by do not have complex multiplication.

Modular form 119700.2.a.by

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.