Elliptic curve isogeny class with LMFDB label 41650.w (Cremona label 41650g)

• Label: 41650.w
• Number of curves: $2$
• Conductor: $41650$
• CM: no
• Rank: $0$

Elliptic curves in class 41650.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
41650.w1	41650g2	\([1, 0, 1, -8135251, 9218372398]\)	\(-32391289681150609/1228250000000\)	\(-2257849753906250000000\)	\([]\)	\(2177280\)	\(2.8674\)
41650.w2	41650g1	\([1, 0, 1, 488749, 40868398]\)	\(7023836099951/4456448000\)	\(-8192135168000000000\)	\([]\)	\(725760\)	\(2.3181\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 41650.w have rank \(0\).

Complex multiplication

The elliptic curves in class 41650.w do not have complex multiplication.

Modular form 41650.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.