Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-14641.1-d
Conductor 14641.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 14641.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 14641.1-d contains 2 curves linked by isogenies of degree 11.

Curve label Weierstrass Coefficients
14641.1-d1 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 29 a\) , \( -76\bigr] \)
14641.1-d2 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 304 a\) , \( 7888\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph