Elliptic curve isogeny class 28.1-a over number field \(\Q(\sqrt{93}) \)

• Base field: \(\Q(\sqrt{93}) \)
• Label: 2.2.93.1-28.1-a
• Conductor: 28.1
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 28.1-a over \(\Q(\sqrt{93}) \)

Isogeny class 28.1-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
28.1-a1	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -21 a - 87\) , \( -135 a - 582\bigr] \)
28.1-a2	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -261 a - 1132\) , \( 19307 a + 83442\bigr] \)