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

• Label: 254898ct
• Number of curves: $2$
• Conductor: $254898$
• CM: no
• Rank: $0$

Elliptic curves in class 254898ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254898.ct2	254898ct1	\([1, -1, 0, -130104, -41622498]\)	\(-2401/6\)	\(-608634585068955606\)	\([]\)	\(3311616\)	\(2.1004\)	\(\Gamma_0(N)\)-optimal
254898.ct1	254898ct2	\([1, -1, 0, -17972964, 30432198096]\)	\(-6329617441/279936\)	\(-28396455200977192753536\)	\([]\)	\(23181312\)	\(3.0733\)

Rank

The elliptic curves in class 254898ct have rank \(0\).

Complex multiplication

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

Modular form 254898.2.a.ct

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.