Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-19600.4-a
Conductor 19600.4
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 19600.4-a over \(\Q(\sqrt{-7}) \)

Isogeny class 19600.4-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
19600.4-a1 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 17 a - 142\) , \( -114 a + 716\bigr] \)
19600.4-a2 \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -7 a - 30\) , \( -98 a + 204\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph