Properties

Base field 4.4.725.1
Label 4.4.725.1-109.1-b
Conductor 109.1
Rank not recorded

Related objects

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Base field 4.4.725.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 3 x^{2} + x + 1 \); class number \(1\).

Elliptic curves in class 109.1-b over 4.4.725.1

Isogeny class 109.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
109.1-b1 \( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a^{2} + 2 a + 1\) , \( a^{2} - a - 1\) , \( 4 a^{3} - 15 a - 8\) , \( -8 a^{3} + 2 a^{2} + 25 a + 8\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph