Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-17500.2-h
Conductor 17500.2
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 17500.2-h over \(\Q(\sqrt{-7}) \)

Isogeny class 17500.2-h contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
17500.2-h1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -1138\) , \( -20858\bigr] \)
17500.2-h2 \( \bigl[1\) , \( 0\) , \( 0\) , \( 112\) , \( 392\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph