Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-43776.2-h
Conductor 43776.2
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 43776.2-h over \(\Q(\sqrt{-3}) \)

Isogeny class 43776.2-h contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
43776.2-h1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 6\) , \( 6 a - 5\bigr] \)
43776.2-h2 \( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a + 9\) , \( 48 a - 26\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph