Properties

Base field \(\Q(\sqrt{7}) \)
Label 2.2.28.1-338.1-q
Conductor 338.1
Rank \( 0 \)

Related objects

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

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Elliptic curves in class 338.1-q over \(\Q(\sqrt{7}) \)

Isogeny class 338.1-q contains only one elliptic curve.

Curve label Weierstrass Coefficients
338.1-q1 \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 13879 a - 36719\) , \( -1456495 a + 3853523\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph