Elliptic curve isogeny class with Cremona label 242550go (LMFDB label 242550.go)

• Label: 242550go
• Number of curves: $2$
• Conductor: $242550$
• CM: no
• Rank: $1$

Elliptic curves in class 242550go

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
242550.go1	242550go1	\([1, -1, 0, -285042, -54083884]\)	\(51603494067/4336640\)	\(215241198480000000\)	\([2]\)	\(2949120\)	\(2.0676\)	\(\Gamma_0(N)\)-optimal
242550.go2	242550go2	\([1, -1, 0, 302958, -248711884]\)	\(61958108493/573927200\)	\(-28485827361337500000\)	\([2]\)	\(5898240\)	\(2.4142\)

Rank

The elliptic curves in class 242550go have rank \(1\).

Complex multiplication

The elliptic curves in class 242550go do not have complex multiplication.

Modular form 242550.2.a.go

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.