Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-27225.2-d
Conductor 27225.2
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 27225.2-d over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.2-d contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
27225.2-d1 \( \bigl[a\) , \( 0\) , \( a\) , \( -10 a - 63\) , \( 57 a + 160\bigr] \)
27225.2-d2 \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 42 a - 35\) , \( -98 a - 120\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph