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

• Label: 333795m
• Number of curves: $4$
• Conductor: $333795$
• CM: no
• Rank: $0$

Elliptic curves in class 333795m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
333795.m4	333795m1	\([1, 1, 1, 65019, -65022]\)	\(1259362112399/728949375\)	\(-17595065836569375\)	\([2]\)	\(2064384\)	\(1.8067\)	\(\Gamma_0(N)\)-optimal
333795.m3	333795m2	\([1, 1, 1, -260106, -845322]\)	\(80627166849601/46649520225\)	\(1126006013247833025\)	\([2, 2]\)	\(4128768\)	\(2.1532\)
333795.m2	333795m3	\([1, 1, 1, -2839431, 1834602348]\)	\(104887600917094801/382630602585\)	\(9235772571407015865\)	\([2]\)	\(8257536\)	\(2.4998\)
333795.m1	333795m4	\([1, 1, 1, -2882781, -1879729692]\)	\(109765319621756401/363969066615\)	\(8785328459285158935\)	\([2]\)	\(8257536\)	\(2.4998\)

Rank

The elliptic curves in class 333795m have rank \(0\).

Complex multiplication

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

Modular form 333795.2.a.m

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.