Elliptic curve isogeny class with LMFDB label 457776.u (Cremona label 457776u)

• Label: 457776.u
• Number of curves: $2$
• Conductor: $457776$
• CM: no
• Rank: $0$

Elliptic curves in class 457776.u

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
457776.u1	457776u1	[0, 0, 0, -37621731, 88117062370]	[2]	61931520	\(\Gamma_0(N)\)-optimal
457776.u2	457776u2	[0, 0, 0, -10987491, 210458780386]	[2]	123863040

Rank

The elliptic curves in class 457776.u have rank \(0\).

Complex multiplication

The elliptic curves in class 457776.u do not have complex multiplication.

Modular form 457776.2.a.u

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.