Elliptic curve isogeny class with LMFDB label 59290.e (Cremona label 59290e)

• Label: 59290.e
• Number of curves: $2$
• Conductor: $59290$
• CM: no
• Rank: $0$

Elliptic curves in class 59290.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
59290.e1	59290e2	\([1, 0, 1, -59414, 5569386]\)	\(-5452947409/250\)	\(-1063379490250\)	\([]\)	\(243000\)	\(1.3833\)
59290.e2	59290e1	\([1, 0, 1, -124, 19842]\)	\(-49/40\)	\(-170140718440\)	\([]\)	\(81000\)	\(0.83403\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 59290.e have rank \(0\).

Complex multiplication

The elliptic curves in class 59290.e do not have complex multiplication.

Modular form 59290.2.a.e

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.