Elliptic curve isogeny class with Cremona label 61200ey (LMFDB label 61200.bz)

• Label: 61200ey
• Number of curves: $2$
• Conductor: $61200$
• CM: no
• Rank: $1$

Elliptic curves in class 61200ey

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61200.bz1	61200ey1	\([0, 0, 0, -9075, 211250]\)	\(1771561/612\)	\(28553472000000\)	\([2]\)	\(122880\)	\(1.2836\)	\(\Gamma_0(N)\)-optimal
61200.bz2	61200ey2	\([0, 0, 0, 26925, 1471250]\)	\(46268279/46818\)	\(-2184340608000000\)	\([2]\)	\(245760\)	\(1.6302\)

Rank

The elliptic curves in class 61200ey have rank \(1\).

Complex multiplication

The elliptic curves in class 61200ey do not have complex multiplication.

Modular form 61200.2.a.ey

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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.