Elliptic curve isogeny class with LMFDB label 42483.y (Cremona label 42483c)

• Label: 42483.y
• Number of curves: $2$
• Conductor: $42483$
• CM: no
• Rank: $1$

Elliptic curves in class 42483.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42483.y1	42483c2	\([0, -1, 1, -12919552, -17883952731]\)	\(-1713910976512/1594323\)	\(-221847306257634318387\)	\([]\)	\(2830464\)	\(2.8270\)
42483.y2	42483c1	\([0, -1, 1, -33042, 2523149]\)	\(-28672/3\)	\(-417444845726307\)	\([]\)	\(217728\)	\(1.5445\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 42483.y have rank \(1\).

Complex multiplication

The elliptic curves in class 42483.y do not have complex multiplication.

Modular form 42483.2.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.

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.