Elliptic curve isogeny class with Cremona label 245025r (LMFDB label 245025.r)

• Label: 245025r
• Number of curves: $2$
• Conductor: $245025$
• CM: no
• Rank: $0$

Elliptic curves in class 245025r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
245025.r2	245025r1	\([1, -1, 0, -567, -161034]\)	\(-9/5\)	\(-11210659453125\)	\([]\)	\(403200\)	\(1.1831\)	\(\Gamma_0(N)\)-optimal
245025.r1	245025r2	\([1, -1, 0, -681192, 217502841]\)	\(-15590912409/78125\)	\(-175166553955078125\)	\([]\)	\(2822400\)	\(2.1560\)

Rank

The elliptic curves in class 245025r have rank \(0\).

Complex multiplication

The elliptic curves in class 245025r do not have complex multiplication.

Modular form 245025.2.a.r

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.