Properties

Base field \(\Q(\sqrt{109}) \)
Label 2.2.109.1-9.2-a
Conductor 9.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{109}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 27 \); class number \(1\).

Elliptic curves in class 9.2-a over \(\Q(\sqrt{109}) \)

Isogeny class 9.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.2-a1 \( \bigl[a\) , \( -a\) , \( 1\) , \( -5322 a - 25083\) , \( 482954 a + 2279657\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph