Properties

Base field \(\Q(\sqrt{89}) \)
Label 2.2.89.1-16.3-b
Conductor 16.3
Rank not recorded

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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 16.3-b over \(\Q(\sqrt{89}) \)

Isogeny class 16.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.3-b1 \( \bigl[a\) , \( 0\) , \( 0\) , \( -35147 a + 183377\) , \( 6225753 a - 32479683\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph