Elliptic curve isogeny class with Cremona label 279174j (LMFDB label 279174.j)

• Label: 279174j
• Number of curves: $2$
• Conductor: $279174$
• CM: no
• Rank: $2$

Elliptic curves in class 279174j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
279174.j2	279174j1	\([1, 1, 0, -150, 571284]\)	\(-15625/5842368\)	\(-141020560723392\)	\([2]\)	\(983040\)	\(1.3939\)	\(\Gamma_0(N)\)-optimal
279174.j1	279174j2	\([1, 1, 0, -104190, 12702348]\)	\(5182207647625/91449288\)	\(2207363499100872\)	\([2]\)	\(1966080\)	\(1.7405\)

Rank

The elliptic curves in class 279174j have rank \(2\).

Complex multiplication

The elliptic curves in class 279174j do not have complex multiplication.

Modular form 279174.2.a.j

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.