Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-7056.2-d
Conductor 7056.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

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

Elliptic curves in class 7056.2-d over \(\Q(\sqrt{-11}) \)

Isogeny class 7056.2-d contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
7056.2-d1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -113\) , \( -516\bigr] \)
7056.2-d2 \( \bigl[0\) , \( 1\) , \( 0\) , \( 7\) , \( 0\bigr] \)
7056.2-d3 \( \bigl[0\) , \( 1\) , \( 0\) , \( -28\) , \( -28\bigr] \)
7056.2-d4 \( \bigl[0\) , \( 1\) , \( 0\) , \( -1828\) , \( -30700\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph