Elliptic curve isogeny class with Cremona label 254320o (LMFDB label 254320.o)

• Label: 254320o
• Number of curves: $2$
• Conductor: $254320$
• CM: no
• Rank: $1$

Elliptic curves in class 254320o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254320.o2	254320o1	\([0, -1, 0, -13101, 11746801]\)	\(-139264/33275\)	\(-59422292185414400\)	\([]\)	\(2115072\)	\(1.8979\)	\(\Gamma_0(N)\)-optimal
254320.o1	254320o2	\([0, -1, 0, -4336541, 3477416305]\)	\(-5050365927424/171875\)	\(-306933327404000000\)	\([]\)	\(6345216\)	\(2.4472\)

Rank

The elliptic curves in class 254320o have rank \(1\).

Complex multiplication

The elliptic curves in class 254320o do not have complex multiplication.

Modular form 254320.2.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.