Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-71424.2-c
Conductor 71424.2
Rank \( 1 \)

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 71424.2-c over \(\Q(\sqrt{-3}) \)

Isogeny class 71424.2-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
71424.2-c1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -36023 a - 26375\) , \( 4437145 a + 716652\bigr] \)
71424.2-c2 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 25\) , \( 25 a + 12\bigr] \)
71424.2-c3 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 457 a + 265\) , \( -4055 a + 2508\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 25 & 5 \\ 25 & 1 & 5 \\ 5 & 5 & 1 \end{array}\right)\)

Isogeny graph