Properties

Base field \(\Q(\sqrt{161}) \)
Label 2.2.161.1-28.1-f
Conductor 28.1
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 28.1-f over \(\Q(\sqrt{161}) \)

Isogeny class 28.1-f contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
28.1-f1 \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 11959 a + 69900\) , \( 210567 a + 1230619\bigr] \)
28.1-f2 \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -82177724 a - 480270343\) , \( 135581422545 a + 792376985227\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph