Properties

Base field 3.3.733.1
Label 3.3.733.1-13.1-b
Conductor 13.1
Rank \( 1 \)

Related objects

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Base field 3.3.733.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 8 \); class number \(1\).

Elliptic curves in class 13.1-b over 3.3.733.1

Isogeny class 13.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
13.1-b1 \( \bigl[0\) , \( -a - 1\) , \( a^{2} - 5\) , \( 19 a^{2} + 29 a - 59\) , \( 63 a^{2} + 95 a - 203\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph