Elliptic curve isogeny class with Cremona label 364560eq (LMFDB label 364560.eq)

• Label: 364560eq
• Number of curves: $2$
• Conductor: $364560$
• CM: no
• Rank: $0$

Elliptic curves in class 364560eq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
364560.eq2	364560eq1	\([0, 1, 0, 366504, -32162796]\)	\(11298232190519/7472736000\)	\(-3601039022751744000\)	\([2]\)	\(8294400\)	\(2.2494\)	\(\Gamma_0(N)\)-optimal
364560.eq1	364560eq2	\([0, 1, 0, -1577816, -267814380]\)	\(901456690969801/457629750000\)	\(220527339346944000000\)	\([2]\)	\(16588800\)	\(2.5960\)

Rank

The elliptic curves in class 364560eq have rank \(0\).

Complex multiplication

The elliptic curves in class 364560eq do not have complex multiplication.

Modular form 364560.2.a.eq

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.