Properties

Base field \(\Q(\sqrt{89}) \)
Label 2.2.89.1-16.3-c
Conductor 16.3
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{89}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).

Elliptic curves in class 16.3-c over \(\Q(\sqrt{89}) \)

Isogeny class 16.3-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.3-c1 \( \bigl[a\) , \( -a\) , \( 0\) , \( -a + 6\) , \( 5 a - 26\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph