Elliptic curve isogeny class with LMFDB label 254100.by (Cremona label 254100by)

• Label: 254100.by
• Number of curves: $2$
• Conductor: $254100$
• CM: no
• Rank: $2$

Elliptic curves in class 254100.by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254100.by1	254100by2	\([0, 1, 0, -1561908, -750526812]\)	\(59466754384/121275\)	\(859384241100000000\)	\([2]\)	\(5529600\)	\(2.3277\)
254100.by2	254100by1	\([0, 1, 0, -64533, -19807812]\)	\(-67108864/343035\)	\(-151926856908750000\)	\([2]\)	\(2764800\)	\(1.9812\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 254100.by have rank \(2\).

Complex multiplication

The elliptic curves in class 254100.by do not have complex multiplication.

Modular form 254100.2.a.by

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.