Elliptic curve isogeny class with Cremona label 254898ie (LMFDB label 254898.ie)

• Label: 254898ie
• Number of curves: $2$
• Conductor: $254898$
• CM: no
• Rank: $1$

Elliptic curves in class 254898ie

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254898.ie2	254898ie1	\([1, -1, 1, 379, 194429]\)	\(189/512\)	\(-16350209938944\)	\([]\)	\(663552\)	\(1.2144\)	\(\Gamma_0(N)\)-optimal
254898.ie1	254898ie2	\([1, -1, 1, -242381, 45995149]\)	\(-67645179/8\)	\(-186239110085784\)	\([]\)	\(1990656\)	\(1.7637\)

Rank

The elliptic curves in class 254898ie have rank \(1\).

Complex multiplication

The elliptic curves in class 254898ie do not have complex multiplication.

Modular form 254898.2.a.ie

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.