Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-14400.3-a
Conductor 14400.3
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).

Elliptic curves in class 14400.3-a over \(\Q(\sqrt{-7}) \)

Isogeny class 14400.3-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
14400.3-a1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 217\) , \( -731 a + 474\bigr] \)
14400.3-a2 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 3342\) , \( -55106 a + 29224\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph