Properties

Base field 3.3.985.1
Label 3.3.985.1-29.3-a
Conductor 29.3
Rank \( 1 \)

Related objects

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Base field 3.3.985.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 1 \); class number \(1\).

Elliptic curves in class 29.3-a over 3.3.985.1

Isogeny class 29.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
29.3-a1 \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a\) , \( -21 a^{2} + 62 a - 6\) , \( -110 a^{2} + 339 a - 51\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph