Elliptic curve isogeny class with LMFDB label 59248.bc (Cremona label 59248n)

• Label: 59248.bc
• Number of curves: $2$
• Conductor: $59248$
• CM: no
• Rank: $1$

Elliptic curves in class 59248.bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
59248.bc1	59248n2	\([0, -1, 0, -287952, 57784688]\)	\(1431644/49\)	\(90374635941567488\)	\([2]\)	\(494592\)	\(2.0254\)
59248.bc2	59248n1	\([0, -1, 0, -44612, -2368960]\)	\(21296/7\)	\(3227665569341696\)	\([2]\)	\(247296\)	\(1.6789\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 59248.bc have rank \(1\).

Complex multiplication

The elliptic curves in class 59248.bc do not have complex multiplication.

Modular form 59248.2.a.bc

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.