Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-5625.8-g
Conductor 5625.8
Rank \( 1 \)

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 5625.8-g over \(\Q(\sqrt{-11}) \)

Isogeny class 5625.8-g contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
5625.8-g1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -208\) , \( -1256\bigr] \)
5625.8-g2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph