Elliptic curve isogeny class 22.1-a over number field \(\Q(\sqrt{23}) \)

• Base field: \(\Q(\sqrt{23}) \)
• Label: 2.2.92.1-22.1-a
• Conductor: 22.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{23}) \)

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

Elliptic curves in class 22.1-a over \(\Q(\sqrt{23}) \)

Isogeny class 22.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
22.1-a1	\( \bigl[a\) , \( 0\) , \( 1\) , \( 272 a - 1296\) , \( 5885 a - 28217\bigr] \)
22.1-a2	\( \bigl[a\) , \( 0\) , \( 1\) , \( 2 a - 1\) , \( 16 a - 70\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph