Elliptic curve isogeny class with LMFDB label 20800.ef (Cremona label 20800cs)

• Label: 20800.ef
• Number of curves: $2$
• Conductor: $20800$
• CM: no
• Rank: $0$

Elliptic curves in class 20800.ef

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20800.ef1	20800cs2	\([0, 0, 0, -340300, 83834000]\)	\(-1064019559329/125497034\)	\(-514035851264000000\)	\([]\)	\(376320\)	\(2.1342\)
20800.ef2	20800cs1	\([0, 0, 0, -4300, -166000]\)	\(-2146689/1664\)	\(-6815744000000\)	\([]\)	\(53760\)	\(1.1613\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 20800.ef have rank \(0\).

Complex multiplication

The elliptic curves in class 20800.ef do not have complex multiplication.

Modular form 20800.2.a.ef

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.