Properties

Base field \(\Q(\sqrt{69}) \)
Label 2.2.69.1-92.1-b
Conductor 92.1
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{69}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 17 \); class number \(1\).

Elliptic curves in class 92.1-b over \(\Q(\sqrt{69}) \)

Isogeny class 92.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
92.1-b1 \( \bigl[1\) , \( a\) , \( a + 1\) , \( a\) , \( a - 9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph