Elliptic curve isogeny class with LMFDB label 288990.gz (Cremona label 288990gz)

• Label: 288990.gz
• Number of curves: $2$
• Conductor: $288990$
• CM: no
• Rank: $0$

Elliptic curves in class 288990.gz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
288990.gz1	288990gz2	\([1, -1, 1, -823907, -284871869]\)	\(651038076963/7220000\)	\(685943908769340000\)	\([2]\)	\(9031680\)	\(2.2368\)
288990.gz2	288990gz1	\([1, -1, 1, -93827, 3947779]\)	\(961504803/486400\)	\(46210958064460800\)	\([2]\)	\(4515840\)	\(1.8902\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 288990.gz have rank \(0\).

Complex multiplication

The elliptic curves in class 288990.gz do not have complex multiplication.

Modular form 288990.2.a.gz

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.