Properties

Base field 3.3.733.1
Label 3.3.733.1-8.2-a
Conductor 8.2
Rank \( 0 \)

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 8.2-a over 3.3.733.1

Isogeny class 8.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
8.2-a1 \( \bigl[0\) , \( a - 1\) , \( a^{2} - 4\) , \( 39 a^{2} + 56 a - 128\) , \( -1199 a^{2} - 1822 a + 3800\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph