Elliptic curve isogeny class with LMFDB label 310464.qn (Cremona label 310464qn)

• Label: 310464.qn
• Number of curves: $2$
• Conductor: $310464$
• CM: no
• Rank: $0$

Elliptic curves in class 310464.qn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
310464.qn1	310464qn2	\([0, 0, 0, -121716, 16966152]\)	\(-84098304/3773\)	\(-8946770444688384\)	\([]\)	\(2654208\)	\(1.8253\)
310464.qn2	310464qn1	\([0, 0, 0, 7644, 63112]\)	\(15185664/9317\)	\(-30305960745984\)	\([]\)	\(884736\)	\(1.2760\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 310464.qn have rank \(0\).

Complex multiplication

The elliptic curves in class 310464.qn do not have complex multiplication.

Modular form 310464.2.a.qn

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.