Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-27225.7-f
Conductor 27225.7
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 27225.7-f over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.7-f contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
27225.7-f1 \( \bigl[a\) , \( -1\) , \( a + 1\) , \( -293 a - 185\) , \( -3339 a + 1912\bigr] \)
27225.7-f2 \( \bigl[a\) , \( -1\) , \( a + 1\) , \( -238 a - 2055\) , \( 2766 a + 41842\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph