Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-82308.3-c
Conductor 82308.3
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 82308.3-c over \(\Q(\sqrt{-3}) \)

Isogeny class 82308.3-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
82308.3-c1 \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -68 a + 18\) , \( 588 a - 517\bigr] \)
82308.3-c2 \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -118 a + 3838\) , \( 102284 a - 49601\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph