Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-25344.2-f
Conductor 25344.2
Rank not recorded

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 25344.2-f over \(\Q(\sqrt{-11}) \)

Isogeny class 25344.2-f contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
25344.2-f1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -648\) , \( 35568\bigr] \)
25344.2-f2 \( \bigl[0\) , \( -1\) , \( 0\) , \( 72\) , \( -1296\bigr] \)
25344.2-f3 \( \bigl[0\) , \( -1\) , \( 0\) , \( -88\) , \( -272\bigr] \)
25344.2-f4 \( \bigl[0\) , \( -1\) , \( 0\) , \( -1288\) , \( 18160\bigr] \)

Rank

Rank not yet determined.

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