Properties

Base field \(\Q(\sqrt{89}) \)
Label 2.2.89.1-16.2-b
Conductor 16.2
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 16.2-b over \(\Q(\sqrt{89}) \)

Isogeny class 16.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.2-b1 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 35147 a + 148230\) , \( -6225753 a - 26253930\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph