Properties

Base field 3.3.1101.1
Label 3.3.1101.1-9.2-d
Conductor 9.2
Rank \( 1 \)

Related objects

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Base field 3.3.1101.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x + 12 \); class number \(1\).

Elliptic curves in class 9.2-d over 3.3.1101.1

Isogeny class 9.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.2-d1 \( \bigl[0\) , \( -1\) , \( a^{2} + 2 a - 7\) , \( -3 a^{2} + 22\) , \( 2 a^{2} + a - 25\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph