Properties

Base field 4.4.16609.1
Label 4.4.16609.1-9.1-a
Conductor 9.1
Rank \( 1 \)

Related objects

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Base field 4.4.16609.1

Generator \(a\), with minimal polynomial \( x^{4} - 7 x^{2} - x + 9 \); class number \(1\).

Elliptic curves in class 9.1-a over 4.4.16609.1

Isogeny class 9.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.1-a1 \( \bigl[a^{3} - 4 a\) , \( -a^{3} + 2 a^{2} + 3 a - 6\) , \( a^{2} - 3\) , \( a^{2} - 3 a\) , \( -3 a^{3} + 5 a^{2} + 13 a - 18\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph