Elliptic curve isogeny class with Cremona label 465690o (LMFDB label 465690.o)

• Label: 465690o
• Number of curves: $2$
• Conductor: $465690$
• CM: no
• Rank: $1$

Elliptic curves in class 465690o

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
465690.o2	465690o1	[1, 0, 1, -3702424, 2843141222]	[2]	34836480	\(\Gamma_0(N)\)-optimal^*
465690.o1	465690o2	[1, 0, 1, -59845144, 178188084326]	[2]	69672960	\(\Gamma_0(N)\)-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 2 curves highlighted, and conditionally curve 465690o1.

Rank

The elliptic curves in class 465690o have rank \(1\).

Complex multiplication

The elliptic curves in class 465690o do not have complex multiplication.

Modular form 465690.2.a.o

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.