Elliptic curve isogeny class 124.1-g over number field \(\Q(\sqrt{93}) \)

• Base field: \(\Q(\sqrt{93}) \)
• Label: 2.2.93.1-124.1-g
• Conductor: 124.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 124.1-g over \(\Q(\sqrt{93}) \)

Isogeny class 124.1-g contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
124.1-g1	\( \bigl[a\) , \( a\) , \( 0\) , \( 6 a + 19\) , \( a + 64\bigr] \)
124.1-g2	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 22 a + 95\) , \( 121 a + 523\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph