Elliptic curve isogeny class 39.3-c over number field Q(157)\Q(\sqrt{157})

• Base field: $\Q(\sqrt{157})$
• Label: 2.2.157.1-39.3-c
• Conductor: 39.3
• Rank: $1$

Base field $\Q(\sqrt{157})$

Generator $a$, with minimal polynomial $x^{2} - x - 39$; class number $1$.

Elliptic curves in class 39.3-c over $\Q(\sqrt{157})$

Isogeny class 39.3-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
39.3-c1	$\bigl[0$ , $1$ , $1$ , $-139 a - 801$ , $-1571 a - 9057\bigr]$

Rank

Rank: $1$

Isogeny matrix

$\left(\begin{array}{r} 1 \end{array}\right)$

Isogeny graph