Properties

Base field \(\Q(\sqrt{85}) \)
Label 2.2.85.1-100.1-h
Conductor 100.1
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{85}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 21 \); class number \(2\).

Elliptic curves in class 100.1-h over \(\Q(\sqrt{85}) \)

Isogeny class 100.1-h contains 4 curves linked by isogenies of degrees dividing 15.

Curve label Weierstrass Coefficients
100.1-h1 \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 1379 a - 7158\) , \( 63176 a - 323309\bigr] \)
100.1-h2 \( \bigl[1\) , \( 1\) , \( 1\) , \( -3\) , \( 1\bigr] \)
100.1-h3 \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 4 a - 33\) , \( 201 a - 1034\bigr] \)
100.1-h4 \( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 15 & 3 & 5 \\ 15 & 1 & 5 & 3 \\ 3 & 5 & 1 & 15 \\ 5 & 3 & 15 & 1 \end{array}\right)\)

Isogeny graph