Elliptic curve isogeny class with LMFDB label 170352.et (Cremona label 170352gk)

• Label: 170352.et
• Number of curves: $2$
• Conductor: $170352$
• CM: no
• Rank: $1$

Elliptic curves in class 170352.et

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
170352.et1	170352gk2	\([0, 0, 0, -18759, -988650]\)	\(21882096/7\)	\(233540326656\)	\([2]\)	\(294912\)	\(1.1562\)
170352.et2	170352gk1	\([0, 0, 0, -1014, -19773]\)	\(-55296/49\)	\(-102173892912\)	\([2]\)	\(147456\)	\(0.80960\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 170352.et have rank \(1\).

Complex multiplication

The elliptic curves in class 170352.et do not have complex multiplication.

Modular form 170352.2.a.et

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.