Properties

Base field 4.4.6809.1
Label 4.4.6809.1-16.1-b
Conductor 16.1
Rank \( 1 \)

Related objects

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Base field 4.4.6809.1

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

Elliptic curves in class 16.1-b over 4.4.6809.1

Isogeny class 16.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-b1 \( \bigl[a^{2} - 2\) , \( -a^{3} - a^{2} + 5 a + 4\) , \( a^{2} - 3\) , \( -12 a^{3} + 4 a^{2} + 56 a - 9\) , \( 14 a^{3} - 10 a^{2} - 65 a + 32\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph