Elliptic curve isogeny class with LMFDB label 212160.o (Cremona label 212160hf)

• Label: 212160.o
• Number of curves: $2$
• Conductor: $212160$
• CM: no
• Rank: $2$

Elliptic curves in class 212160.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
212160.o1	212160hf1	\([0, -1, 0, -1281, -15615]\)	\(887503681/89505\)	\(23463198720\)	\([2]\)	\(163840\)	\(0.72598\)	\(\Gamma_0(N)\)-optimal
212160.o2	212160hf2	\([0, -1, 0, 1599, -78399]\)	\(1723683599/10989225\)	\(-2880759398400\)	\([2]\)	\(327680\)	\(1.0726\)

Rank

The elliptic curves in class 212160.o have rank \(2\).

Complex multiplication

The elliptic curves in class 212160.o do not have complex multiplication.

Modular form 212160.2.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.