Elliptic curve isogeny class with LMFDB label 64974.n (Cremona label 64974g)

• Label: 64974.n
• Number of curves: $4$
• Conductor: $64974$
• CM: no
• Rank: $1$

Elliptic curves in class 64974.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
64974.n1	64974g4	\([1, 1, 0, -808574, 279514950]\)	\(496930471478093017/250614\)	\(29484486486\)	\([2]\)	\(516096\)	\(1.7779\)
64974.n2	64974g3	\([1, 1, 0, -60834, 2438178]\)	\(211634149400857/100188617802\)	\(11787090695787498\)	\([2]\)	\(516096\)	\(1.7779\)
64974.n3	64974g2	\([1, 1, 0, -50544, 4350060]\)	\(121382959848697/86155524\)	\(10136111243076\)	\([2, 2]\)	\(258048\)	\(1.4313\)
64974.n4	64974g1	\([1, 1, 0, -2524, 95488]\)	\(-15124197817/25469808\)	\(-2996497441392\)	\([2]\)	\(129024\)	\(1.0848\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 64974.n have rank \(1\).

Complex multiplication

The elliptic curves in class 64974.n do not have complex multiplication.

Modular form 64974.2.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.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.