Elliptic curve isogeny class with LMFDB label 72450.r (Cremona label 72450be)

• Label: 72450.r
• Number of curves: $4$
• Conductor: $72450$
• CM: no
• Rank: $1$

Elliptic curves in class 72450.r

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
72450.r1	72450be4	[1, -1, 0, -678298167, -18483604259]	[2]	53084160
72450.r2	72450be2	[1, -1, 0, -466614792, -3879452132384]	[2]	17694720
72450.r3	72450be1	[1, -1, 0, -28602792, -63053576384]	[2]	8847360	\(\Gamma_0(N)\)-optimal
72450.r4	72450be3	[1, -1, 0, 169573833, -2374036259]	[2]	26542080

Rank

The elliptic curves in class 72450.r have rank \(1\).

Complex multiplication

The elliptic curves in class 72450.r do not have complex multiplication.

Modular form 72450.2.a.r

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.

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.