Elliptic curve isogeny class with Cremona label 40656bp (LMFDB label 40656.n)

• Label: 40656bp
• Number of curves: $2$
• Conductor: $40656$
• CM: no
• Rank: $1$

Elliptic curves in class 40656bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
40656.n2	40656bp1	\([0, -1, 0, -1184, -51456]\)	\(-33698267/193536\)	\(-1055114919936\)	\([2]\)	\(69120\)	\(0.99094\)	\(\Gamma_0(N)\)-optimal
40656.n1	40656bp2	\([0, -1, 0, -29344, -1921280]\)	\(512576216027/1143072\)	\(6231772495872\)	\([2]\)	\(138240\)	\(1.3375\)

Rank

The elliptic curves in class 40656bp have rank \(1\).

Complex multiplication

The elliptic curves in class 40656bp do not have complex multiplication.

Modular form 40656.2.a.bp

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.