Elliptic curve isogeny class with LMFDB label 40310.w (Cremona label 40310u)

• Label: 40310.w
• Number of curves: $2$
• Conductor: $40310$
• CM: no
• Rank: $0$

Elliptic curves in class 40310.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
40310.w1	40310u2	\([1, -1, 1, -2113, 33281]\)	\(1042868381560929/140077250000\)	\(140077250000\)	\([2]\)	\(55296\)	\(0.86625\)
40310.w2	40310u1	\([1, -1, 1, 207, 2657]\)	\(985371912351/3740768000\)	\(-3740768000\)	\([2]\)	\(27648\)	\(0.51968\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 40310.w have rank \(0\).

Complex multiplication

The elliptic curves in class 40310.w do not have complex multiplication.

Modular form 40310.2.a.w

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.