Elliptic curve isogeny class 16.2-a over number field \(\Q(\sqrt{161}) \)

• Base field: \(\Q(\sqrt{161}) \)
• Label: 2.2.161.1-16.2-a
• Conductor: 16.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{161}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 40 \); class number \(1\).

Elliptic curves in class 16.2-a over \(\Q(\sqrt{161}) \)

Isogeny class 16.2-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16.2-a1	\( \bigl[a\) , \( -a\) , \( a\) , \( -6 a + 17\) , \( -9 a + 50\bigr] \)
16.2-a2	\( \bigl[a\) , \( -a\) , \( a\) , \( -16 a - 43\) , \( 23 a + 230\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph