Properties

Base field \(\Q(\sqrt{93}) \)
Label 2.2.93.1-121.1-d
Conductor 121.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{93}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 23 \); class number \(1\).

Elliptic curves in class 121.1-d over \(\Q(\sqrt{93}) \)

Isogeny class 121.1-d contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
121.1-d1 \( \bigl[0\) , \( 1\) , \( 1\) , \( 680369 a - 3620814\) , \( -670563167 a + 3568620089\bigr] \)
121.1-d2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 899 a - 4784\) , \( -58057 a + 308969\bigr] \)
121.1-d3 \( \bigl[0\) , \( 1\) , \( 1\) , \( 29 a - 154\) , \( 453 a - 2411\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph