Properties

Base field 3.3.169.1
Label 3.3.169.1-31.3-c
Conductor 31.3
Rank \( 1 \)

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 31.3-c over 3.3.169.1

Isogeny class 31.3-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
31.3-c1 \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( a^{2} - 2\) , \( 2 a^{2} + a - 2\) , \( 2 a^{2} + 2 a - 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph