Elliptic curve isogeny class with LMFDB label 374790.n (Cremona label 374790n)

• Label: 374790.n
• Number of curves: $4$
• Conductor: $374790$
• CM: no
• Rank: $0$

Elliptic curves in class 374790.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
374790.n1	374790n4	\([1, 1, 0, -351282518, 2498742857172]\)	\(5401609226997647595049/86393158323264000\)	\(76674246025112587934784000\)	\([2]\)	\(218972160\)	\(3.7668\)
374790.n2	374790n3	\([1, 1, 0, -43762518, -51397494828]\)	\(10443846301537515049/4758933504000000\)	\(4223571002434228224000000\)	\([2]\)	\(109486080\)	\(3.4202\)
374790.n3	374790n2	\([1, 1, 0, -37021103, -85098418467]\)	\(6322686217296773689/135260510172840\)	\(120044200672333446224040\)	\([2]\)	\(72990720\)	\(3.2175\)
374790.n4	374790n1	\([1, 1, 0, -36828903, -86041620747]\)	\(6224721371657832889/2942222400\)	\(2611233210320654400\)	\([2]\)	\(36495360\)	\(2.8709\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 374790.n have rank \(0\).

Complex multiplication

The elliptic curves in class 374790.n do not have complex multiplication.

Modular form 374790.2.a.n

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.