Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-30976.1-d
Conductor 30976.1
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 30976.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 30976.1-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
30976.1-d1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a - 5\) , \( 4 a - 2\bigr] \)
30976.1-d2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 25 a - 25\) , \( -52 a + 26\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph