Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-27225.8-d
Conductor 27225.8
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 27225.8-d over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.8-d contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
27225.8-d1 \( \bigl[1\) , \( -a\) , \( 1\) , \( -42 a + 7\) , \( 98 a - 218\bigr] \)
27225.8-d2 \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 8 a - 73\) , \( -58 a + 217\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph