Elliptic curve isogeny class 28.1-a over number field \(\Q(\sqrt{23}) \)

• Base field: \(\Q(\sqrt{23}) \)
• Label: 2.2.92.1-28.1-a
• Conductor: 28.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 28.1-a over \(\Q(\sqrt{23}) \)

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

Curve label	Weierstrass Coefficients
28.1-a1	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 5 a + 24\) , \( 0\bigr] \)
28.1-a2	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -20 a - 96\) , \( -284 a - 1362\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph