Elliptic curve isogeny class with Cremona label 297440u (LMFDB label 297440.u)

• Label: 297440u
• Number of curves: $2$
• Conductor: $297440$
• CM: no
• Rank: $1$

Elliptic curves in class 297440u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
297440.u2	297440u1	\([0, -1, 0, -704786, -227501860]\)	\(125330290485184/378125\)	\(116808777800000\)	\([2]\)	\(2073600\)	\(1.9270\)	\(\Gamma_0(N)\)-optimal
297440.u1	297440u2	\([0, -1, 0, -714081, -221183119]\)	\(2036792051776/107421875\)	\(2123795960000000000\)	\([2]\)	\(4147200\)	\(2.2736\)

Rank

The elliptic curves in class 297440u have rank \(1\).

Complex multiplication

The elliptic curves in class 297440u do not have complex multiplication.

Modular form 297440.2.a.u

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.