Properties

Base field 3.3.1765.1
Label 3.3.1765.1-16.1-b
Conductor 16.1
Rank \( 1 \)

Related objects

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Base field 3.3.1765.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 11 x + 16 \); class number \(1\).

Elliptic curves in class 16.1-b over 3.3.1765.1

Isogeny class 16.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-b1 \( \bigl[a^{2} + a - 8\) , \( -a\) , \( a^{2} + 2 a - 8\) , \( -3 a^{2} + 8 a - 8\) , \( -15 a^{2} + 61 a - 60\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph