Elliptic curve isogeny class with LMFDB label 63063.y (Cremona label 63063m)

• Label: 63063.y
• Number of curves: $2$
• Conductor: $63063$
• CM: no
• Rank: $1$

Elliptic curves in class 63063.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
63063.y1	63063m2	\([1, -1, 0, -5742, 127413]\)	\(244140625/61347\)	\(5261494224987\)	\([2]\)	\(98304\)	\(1.1509\)
63063.y2	63063m1	\([1, -1, 0, 873, 12312]\)	\(857375/1287\)	\(-110380997727\)	\([2]\)	\(49152\)	\(0.80432\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 63063.y have rank \(1\).

Complex multiplication

The elliptic curves in class 63063.y do not have complex multiplication.

Modular form 63063.2.a.y

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.