Elliptic curve isogeny class with Cremona label 265200e (LMFDB label 265200.e)

• Label: 265200e
• Number of curves: $2$
• Conductor: $265200$
• CM: no
• Rank: $1$

Elliptic curves in class 265200e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
265200.e2	265200e1	\([0, -1, 0, -3933, -84888]\)	\(26919436288/2738853\)	\(684713250000\)	\([2]\)	\(442368\)	\(1.0068\)	\(\Gamma_0(N)\)-optimal
265200.e1	265200e2	\([0, -1, 0, -61308, -5822388]\)	\(6371214852688/77571\)	\(310284000000\)	\([2]\)	\(884736\)	\(1.3534\)

Rank

The elliptic curves in class 265200e have rank \(1\).

Complex multiplication

The elliptic curves in class 265200e do not have complex multiplication.

Modular form 265200.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.