Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100156.4-b
Conductor 100156.4
Rank \( 0 \)

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 100156.4-b over \(\Q(\sqrt{-3}) \)

Isogeny class 100156.4-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
100156.4-b1 \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -409 a + 491\) , \( 285 a + 5329\bigr] \)
100156.4-b2 \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -489 a + 541\) , \( 791 a + 3849\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph