Elliptic curve isogeny class with LMFDB label 466440.q (Cremona label 466440q)

• Label: 466440.q
• Number of curves: $2$
• Conductor: $466440$
• CM: no
• Rank: $0$

Elliptic curves in class 466440.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
466440.q1	466440q2	\([0, -1, 0, -144720, 19413900]\)	\(33909572018/3234375\)	\(31972782816000000\)	\([2]\)	\(5806080\)	\(1.9048\)	\(\Gamma_0(N)\)-optimal^*
466440.q2	466440q1	\([0, -1, 0, 10760, 1440412]\)	\(27871484/198375\)	\(-980498673024000\)	\([2]\)	\(2903040\)	\(1.5582\)	\(\Gamma_0(N)\)-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 2 curves highlighted, and conditionally curve 466440.q1.

Rank

The elliptic curves in class 466440.q have rank \(0\).

Complex multiplication

The elliptic curves in class 466440.q do not have complex multiplication.

Modular form 466440.2.a.q

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.