Properties

Base field 3.3.169.1
Label 3.3.169.1-40.1-a
Conductor 40.1
Rank \( 0 \)

Related objects

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Base field 3.3.169.1

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

Elliptic curves in class 40.1-a over 3.3.169.1

Isogeny class 40.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
40.1-a1 \( \bigl[a + 1\) , \( -a^{2} + 2 a + 2\) , \( a^{2} - a - 2\) , \( -a^{2} - 3 a\) , \( -3 a^{2} - 6 a - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph