Elliptic curve isogeny class with LMFDB label 333795.i (Cremona label 333795i)

• Label: 333795.i
• Number of curves: $2$
• Conductor: $333795$
• CM: no
• Rank: $1$

Elliptic curves in class 333795.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
333795.i1	333795i2	\([1, 1, 1, -1190686, -426451576]\)	\(1574255373137/250072515\)	\(29655568524114179955\)	\([2]\)	\(8355840\)	\(2.4589\)
333795.i2	333795i1	\([1, 1, 1, -330911, 66715364]\)	\(33792250337/3274425\)	\(388307107498689225\)	\([2]\)	\(4177920\)	\(2.1124\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 333795.i have rank \(1\).

Complex multiplication

The elliptic curves in class 333795.i do not have complex multiplication.

Modular form 333795.2.a.i

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.