Elliptic curve isogeny class with LMFDB label 287300.m (Cremona label 287300m)

• Label: 287300.m
• Number of curves: $2$
• Conductor: $287300$
• CM: no
• Rank: $2$

Elliptic curves in class 287300.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
287300.m1	287300m1	\([0, 0, 0, -118300, 15653625]\)	\(151732224/85\)	\(102569691250000\)	\([2]\)	\(1105920\)	\(1.6356\)	\(\Gamma_0(N)\)-optimal
287300.m2	287300m2	\([0, 0, 0, -97175, 21420750]\)	\(-5256144/7225\)	\(-139494780100000000\)	\([2]\)	\(2211840\)	\(1.9822\)

Rank

The elliptic curves in class 287300.m have rank \(2\).

Complex multiplication

The elliptic curves in class 287300.m do not have complex multiplication.

Modular form 287300.2.a.m

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.