Properties

Base field 3.3.733.1
Label 3.3.733.1-16.3-c
Conductor 16.3
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 16.3-c over 3.3.733.1

Isogeny class 16.3-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.3-c1 \( \bigl[0\) , \( a^{2} + a - 5\) , \( a^{2} - 4\) , \( 86 a^{2} + 131 a - 272\) , \( -4157 a^{2} - 6311 a + 13204\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph