Elliptic curve isogeny class with Cremona label 145200es (LMFDB label 145200.i)

• Label: 145200es
• Number of curves: $4$
• Conductor: $145200$
• CM: no
• Rank: $1$

Elliptic curves in class 145200es

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
145200.i3	145200es1	\([0, -1, 0, -315608, -67566288]\)	\(30664297/297\)	\(33673831488000000\)	\([2]\)	\(1474560\)	\(1.9910\)	\(\Gamma_0(N)\)-optimal
145200.i2	145200es2	\([0, -1, 0, -557608, 50529712]\)	\(169112377/88209\)	\(10001127951936000000\)	\([2, 2]\)	\(2949120\)	\(2.3376\)
145200.i1	145200es3	\([0, -1, 0, -7091608, 7264065712]\)	\(347873904937/395307\)	\(44819869710528000000\)	\([2]\)	\(5898240\)	\(2.6842\)
145200.i4	145200es4	\([0, -1, 0, 2104392, 391265712]\)	\(9090072503/5845851\)	\(-662802025178304000000\)	\([2]\)	\(5898240\)	\(2.6842\)

Rank

The elliptic curves in class 145200es have rank \(1\).

Complex multiplication

The elliptic curves in class 145200es do not have complex multiplication.

Modular form 145200.2.a.es

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.