Elliptic curve isogeny class 32.4-b over number field Q(241)\Q(\sqrt{241})

• Base field: $\Q(\sqrt{241})$
• Label: 2.2.241.1-32.4-b
• Conductor: 32.4
• Rank: $1$

Base field $\Q(\sqrt{241})$

Generator $a$, with minimal polynomial $x^{2} - x - 60$; class number $1$.

Rank

Rank: $1$

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 32.4-b over $\Q(\sqrt{241})$

Isogeny class 32.4-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
32.4-b1	$\bigl[a$ , $a - 1$ , $a$ , $1584 a - 12924$ , $97266 a - 803104\bigr]$
32.4-b2	$\bigl[a$ , $a - 1$ , $a$ , $24 a + 156$ , $270 a + 1952\bigr]$