Elliptic curve isogeny class with LMFDB label 55488.eh (Cremona label 55488bp)

• Label: 55488.eh
• Number of curves: $2$
• Conductor: $55488$
• CM: no
• Rank: $0$

Elliptic curves in class 55488.eh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55488.eh1	55488bp2	\([0, 1, 0, -68589, -6940731]\)	\(-23100424192/14739\)	\(-22768872287424\)	\([]\)	\(248832\)	\(1.5040\)
55488.eh2	55488bp1	\([0, 1, 0, 771, -39411]\)	\(32768/459\)	\(-709065226944\)	\([]\)	\(82944\)	\(0.95465\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 55488.eh have rank \(0\).

Complex multiplication

The elliptic curves in class 55488.eh do not have complex multiplication.

Modular form 55488.2.a.eh

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.