Elliptic curve isogeny class with Cremona label 90480v (LMFDB label 90480.e)

• Label: 90480v
• Number of curves: $4$
• Conductor: $90480$
• CM: no
• Rank: $1$

Elliptic curves in class 90480v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
90480.e3	90480v1	\([0, -1, 0, -61816, -4547984]\)	\(6377838054073849/1489533786000\)	\(6101130387456000\)	\([2]\)	\(368640\)	\(1.7408\)	\(\Gamma_0(N)\)-optimal
90480.e2	90480v2	\([0, -1, 0, -330936, 69513840]\)	\(978581759592931129/58281773062500\)	\(238722142464000000\)	\([2, 2]\)	\(737280\)	\(2.0874\)
90480.e4	90480v3	\([0, -1, 0, 249064, 286665840]\)	\(417152543917888871/8913566138987250\)	\(-36509966905291776000\)	\([2]\)	\(1474560\)	\(2.4340\)
90480.e1	90480v4	\([0, -1, 0, -5216856, 4588012656]\)	\(3833455222908263170009/14910644531250\)	\(61074000000000000\)	\([2]\)	\(1474560\)	\(2.4340\)

Rank

The elliptic curves in class 90480v have rank \(1\).

Complex multiplication

The elliptic curves in class 90480v do not have complex multiplication.

Modular form 90480.2.a.v

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.