Properties

Base field 5.5.160801.1
Label 5.5.160801.1-9.1-b
Conductor 9.1
Rank \( 1 \)

Related objects

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Base field 5.5.160801.1

Generator \(a\), with minimal polynomial \( x^{5} - x^{4} - 5 x^{3} + 4 x^{2} + 3 x - 1 \); class number \(1\).

Elliptic curves in class 9.1-b over 5.5.160801.1

Isogeny class 9.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.1-b1 \( \bigl[a^{4} - a^{3} - 5 a^{2} + 4 a + 3\) , \( -2 a^{4} + a^{3} + 9 a^{2} - 3 a - 2\) , \( a^{4} - a^{3} - 5 a^{2} + 4 a + 2\) , \( -6 a^{4} + a^{3} + 26 a^{2} - 6 a - 11\) , \( -3 a^{4} - 4 a^{3} + 7 a^{2} + 6 a + 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph