Elliptic curve isogeny class 99372.4-k over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.4-k
• Conductor: 99372.4
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 99372.4-k over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.4-k contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
99372.4-k1	\( \bigl[a\) , \( a + 1\) , \( a\) , \( 55 a - 38\) , \( -57 a + 37\bigr] \)
99372.4-k2	\( \bigl[a\) , \( a + 1\) , \( a\) , \( -235 a + 132\) , \( -757 a + 667\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph