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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.4-l
• 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-l over \(\Q(\sqrt{-3}) \)

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

Curve label	Weierstrass Coefficients
99372.4-l1	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -18 a + 210\) , \( 1204 a - 561\bigr] \)
99372.4-l2	\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 2 a + 10\) , \( 20 a - 5\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph