Properties

Base field 4.4.2624.1
Label 4.4.2624.1-64.1-b
Conductor 64.1
Rank not recorded

Related objects

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Base field 4.4.2624.1

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

Elliptic curves in class 64.1-b over 4.4.2624.1

Isogeny class 64.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
64.1-b1 \( \bigl[a^{3} - a^{2} - 3 a\) , \( -a^{3} + 3 a^{2} - a - 2\) , \( a^{3} - a^{2} - 3 a\) , \( -2 a^{3} + 6 a^{2} - 4 a - 3\) , \( -a^{3} + 5 a^{2} - 3 a - 2\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph