Elliptic curve isogeny class with Cremona label 331200t (LMFDB label 331200.t)

• Label: 331200t
• Number of curves: $2$
• Conductor: $331200$
• CM: no
• Rank: $1$

Elliptic curves in class 331200t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
331200.t2	331200t1	\([0, 0, 0, -287700, -59396000]\)	\(1524051208512/2875\)	\(4968000000000\)	\([2]\)	\(1916928\)	\(1.6912\)	\(\Gamma_0(N)\)-optimal
331200.t1	331200t2	\([0, 0, 0, -290700, -58094000]\)	\(196528293144/8265625\)	\(114264000000000000\)	\([2]\)	\(3833856\)	\(2.0378\)

Rank

The elliptic curves in class 331200t have rank \(1\).

Complex multiplication

The elliptic curves in class 331200t do not have complex multiplication.

Modular form 331200.2.a.t

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.