Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-14308.2-a
Conductor 14308.2
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 14308.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 14308.2-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
14308.2-a1 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 83 a - 62\) , \( 288 a - 84\bigr] \)
14308.2-a2 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 3 a - 12\) , \( -6 a + 14\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph