Properties

Base field \(\Q(\sqrt{341}) \)
Label 2.2.341.1-11.1-b
Conductor 11.1
Rank not recorded

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Base field \(\Q(\sqrt{341}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 85 \); class number \(1\).

Elliptic curves in class 11.1-b over \(\Q(\sqrt{341}) \)

Isogeny class 11.1-b contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
11.1-b1 \( \bigl[0\) , \( -1\) , \( 1\) , \( 32493485 a - 316262100\) , \( -306370187085 a + 2981929418029\bigr] \)
11.1-b2 \( \bigl[0\) , \( -1\) , \( 1\) , \( -42935 a - 374955\) , \( 26666635 a + 232882194\bigr] \)
11.1-b3 \( \bigl[0\) , \( -1\) , \( 1\) , \( -1385 a - 12095\) , \( -202015 a - 1764216\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph