Elliptic curve isogeny class with LMFDB label 157170.o (Cremona label 157170dd)

• Label: 157170.o
• Number of curves: $2$
• Conductor: $157170$
• CM: no
• Rank: $1$

Elliptic curves in class 157170.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
157170.o1	157170dd2	\([1, 1, 0, -111712, -14417996]\)	\(31942518433489/27900\)	\(134667971100\)	\([2]\)	\(691200\)	\(1.4359\)
157170.o2	157170dd1	\([1, 1, 0, -6932, -230784]\)	\(-7633736209/230640\)	\(-1113255227760\)	\([2]\)	\(345600\)	\(1.0893\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 157170.o have rank \(1\).

Complex multiplication

The elliptic curves in class 157170.o do not have complex multiplication.

Modular form 157170.2.a.o

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.