Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-676.2-b
Conductor 676.2
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 676.2-b over \(\Q(\sqrt{-7}) \)

Isogeny class 676.2-b contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
676.2-b1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \)
676.2-b2 \( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph