Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-109744.2-b
Conductor 109744.2
Rank \( 1 \)

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 109744.2-b over \(\Q(\sqrt{-3}) \)

Isogeny class 109744.2-b contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
109744.2-b1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2231 a + 944\) , \( -22322 a + 36357\bigr] \)
109744.2-b2 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a + 1912\) , \( 36310 a - 12259\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph