Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.3-b
Conductor 100156.3
Rank \( 2 \)

Related objects

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

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

Elliptic curves in class 100156.3-b over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.3-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
100156.3-b1 \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -41 a + 86\) , \( -225 a - 24\bigr] \)
100156.3-b2 \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -11 a + 6\) , \( -21 a + 20\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph