Elliptic curve isogeny class 120.1-b over number field Q(15)\Q(\sqrt{15})

• Base field: $\Q(\sqrt{15})$
• Label: 2.2.60.1-120.1-b
• Conductor: 120.1
• Rank: $0$

Base field $\Q(\sqrt{15})$

Generator $a$, with minimal polynomial $x^{2} - 15$; class number $2$.

Rank

Rank: $0$

Isogeny matrix

$\left(\begin{array}{rrrrrr} 1 & 8 & 4 & 2 & 8 & 4 \\ 8 & 1 & 2 & 4 & 4 & 8 \\ 4 & 2 & 1 & 2 & 2 & 4 \\ 2 & 4 & 2 & 1 & 4 & 2 \\ 8 & 4 & 2 & 4 & 1 & 8 \\ 4 & 8 & 4 & 2 & 8 & 1 \end{array}\right)$

Isogeny graph

Elliptic curves in class 120.1-b over $\Q(\sqrt{15})$

Isogeny class 120.1-b contains 6 curves linked by isogenies of degrees dividing 8.

Curve label	Weierstrass Coefficients
120.1-b1	$\bigl[a + 1$ , $-a$ , $0$ , $-162 a - 616$ , $18578 a + 71960\bigr]$
120.1-b2	$\bigl[a + 1$ , $-a$ , $0$ , $158 a + 624$ , $-312 a - 1200\bigr]$
120.1-b3	$\bigl[a + 1$ , $-a$ , $0$ , $-42 a - 151$ , $-82 a - 310\bigr]$
120.1-b4	$\bigl[a + 1$ , $-a$ , $0$ , $-402 a - 1546$ , $8270 a + 32036\bigr]$
120.1-b5	$\bigl[0$ , $a + 1$ , $0$ , $-490 a - 1896$ , $-12426 a - 48126\bigr]$
120.1-b6	$\bigl[a + 1$ , $-a$ , $0$ , $-6402 a - 24796$ , $544370 a + 2108336\bigr]$