Elliptic curve isogeny class with Cremona label 54208r (LMFDB label 54208.q)

• Label: 54208r
• Number of curves: $2$
• Conductor: $54208$
• CM: no
• Rank: $0$

Elliptic curves in class 54208r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
54208.q1	54208r1	\([0, 1, 0, -1492, -19230]\)	\(3241792/539\)	\(61111768256\)	\([2]\)	\(46080\)	\(0.79095\)	\(\Gamma_0(N)\)-optimal
54208.q2	54208r2	\([0, 1, 0, 2743, -104777]\)	\(314432/847\)	\(-6146097836032\)	\([2]\)	\(92160\)	\(1.1375\)

Rank

The elliptic curves in class 54208r have rank \(0\).

Complex multiplication

The elliptic curves in class 54208r do not have complex multiplication.

Modular form 54208.2.a.r

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.