Elliptic curve isogeny class with Cremona label 235200r (LMFDB label 235200.r)

• Label: 235200r
• Number of curves: $4$
• Conductor: $235200$
• CM: no
• Rank: $0$

Elliptic curves in class 235200r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
235200.r2	235200r1	\([0, -1, 0, -300533, -63151563]\)	\(1594753024/4725\)	\(8894264400000000\)	\([2]\)	\(2654208\)	\(1.9301\)	\(\Gamma_0(N)\)-optimal
235200.r3	235200r2	\([0, -1, 0, -178033, -115214063]\)	\(-20720464/178605\)	\(-5379251109120000000\)	\([2]\)	\(5308416\)	\(2.2767\)
235200.r1	235200r3	\([0, -1, 0, -1476533, 638332437]\)	\(189123395584/16078125\)	\(30265205250000000000\)	\([2]\)	\(7962624\)	\(2.4795\)
235200.r4	235200r4	\([0, -1, 0, 1585967, 2938269937]\)	\(14647977776/132355125\)	\(-3986290713888000000000\)	\([2]\)	\(15925248\)	\(2.8260\)

Rank

The elliptic curves in class 235200r have rank \(0\).

Complex multiplication

The elliptic curves in class 235200r do not have complex multiplication.

Modular form 235200.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.