Elliptic curve isogeny class with Cremona label 201200j (LMFDB label 201200.r)

• Label: 201200j
• Number of curves: $2$
• Conductor: $201200$
• CM: no
• Rank: $1$

Elliptic curves in class 201200j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
201200.r2	201200j1	\([0, 0, 0, 3125, -15750]\)	\(52734375/32192\)	\(-2060288000000\)	\([2]\)	\(217728\)	\(1.0520\)	\(\Gamma_0(N)\)-optimal
201200.r1	201200j2	\([0, 0, 0, -12875, -127750]\)	\(3687953625/2024072\)	\(129540608000000\)	\([2]\)	\(435456\)	\(1.3986\)

Rank

The elliptic curves in class 201200j have rank \(1\).

Complex multiplication

The elliptic curves in class 201200j do not have complex multiplication.

Modular form 201200.2.a.j

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.