Elliptic curve isogeny class with LMFDB label 465290.dv (Cremona label 465290dv)

• Label: 465290.dv
• Number of curves: $4$
• Conductor: $465290$
• CM: no
• Rank: $1$

Elliptic curves in class 465290.dv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
465290.dv1	465290dv4	\([1, 1, 1, -48214165, -128877282503]\)	\(513516182162686336369/1944885031250\)	\(46944796638864031250\)	\([2]\)	\(69009408\)	\(2.9892\)
465290.dv2	465290dv3	\([1, 1, 1, -3057915, -1952095003]\)	\(131010595463836369/7704101562500\)	\(185958283047851562500\)	\([2]\)	\(34504704\)	\(2.6427\)
465290.dv3	465290dv2	\([1, 1, 1, -821055, -31010275]\)	\(2535986675931409/1450751712200\)	\(35017619555095641800\)	\([2]\)	\(23003136\)	\(2.4399\)
465290.dv4	465290dv1	\([1, 1, 1, -532055, 148516525]\)	\(690080604747409/3406760000\)	\(82230904566440000\)	\([2]\)	\(11501568\)	\(2.0934\)	\(\Gamma_0(N)\)-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 0 curves highlighted, and conditionally curve 465290.dv1.

Rank

The elliptic curves in class 465290.dv have rank \(1\).

Complex multiplication

The elliptic curves in class 465290.dv do not have complex multiplication.

Modular form 465290.2.a.dv

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.