Elliptic curve isogeny class with LMFDB label 202800.el (Cremona label 202800ef)

• Label: 202800.el
• Number of curves: $2$
• Conductor: $202800$
• CM: no
• Rank: $1$

Elliptic curves in class 202800.el

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
202800.el1	202800ef2	\([0, -1, 0, -10851208, 2344540912]\)	\(3659383421/2056392\)	\(79406491305024000000000\)	\([2]\)	\(15482880\)	\(3.0842\)
202800.el2	202800ef1	\([0, -1, 0, 2668792, 289500912]\)	\(54439939/32448\)	\(-1252962387456000000000\)	\([2]\)	\(7741440\)	\(2.7376\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 202800.el have rank \(1\).

Complex multiplication

The elliptic curves in class 202800.el do not have complex multiplication.

Modular form 202800.2.a.el

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.