Elliptic curve isogeny class with Cremona label 74529bb (LMFDB label 74529.i)

• Label: 74529bb
• Number of curves: $2$
• Conductor: $74529$
• CM: no
• Rank: $1$

Elliptic curves in class 74529bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
74529.i2	74529bb1	\([1, -1, 1, -746843, 251526188]\)	\(-658489/9\)	\(-629658537486329169\)	\([]\)	\(898560\)	\(2.2221\)	\(\Gamma_0(N)\)-optimal
74529.i1	74529bb2	\([1, -1, 1, -5591228, -28291590232]\)	\(-276301129/4782969\)	\(-334626362820272259902529\)	\([]\)	\(6289920\)	\(3.1951\)

Rank

The elliptic curves in class 74529bb have rank \(1\).

Complex multiplication

The elliptic curves in class 74529bb do not have complex multiplication.

Modular form 74529.2.a.bb

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.