Elliptic curve isogeny class with Cremona label 51600bx (LMFDB label 51600.d)

• Label: 51600bx
• Number of curves: $2$
• Conductor: $51600$
• CM: no
• Rank: $0$

Elliptic curves in class 51600bx

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
51600.d2	51600bx1	[0, -1, 0, -4102408, 3317827312]	[2]	2903040	\(\Gamma_0(N)\)-optimal
51600.d1	51600bx2	[0, -1, 0, -66310408, 207857731312]	[2]	5806080

Rank

The elliptic curves in class 51600bx have rank \(0\).

Complex multiplication

The elliptic curves in class 51600bx do not have complex multiplication.

Modular form 51600.2.a.bx

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.