Elliptic curve isogeny class with Cremona label 171925o (LMFDB label 171925.o)

• Label: 171925o
• Number of curves: $2$
• Conductor: $171925$
• CM: no
• Rank: $0$

Elliptic curves in class 171925o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
171925.o2	171925o1	\([0, 1, 1, -44083, -3324006]\)	\(163840/13\)	\(751744748828125\)	\([]\)	\(748440\)	\(1.5980\)	\(\Gamma_0(N)\)-optimal
171925.o1	171925o2	\([0, 1, 1, -705333, 227121619]\)	\(671088640/2197\)	\(127044862551953125\)	\([]\)	\(2245320\)	\(2.1473\)

Rank

The elliptic curves in class 171925o have rank \(0\).

Complex multiplication

The elliptic curves in class 171925o do not have complex multiplication.

Modular form 171925.2.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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.