Elliptic curve isogeny class 99372.6-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.6-a
• Conductor: 99372.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 99372.6-a over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.6-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
99372.6-a1	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -70 a - 96\) , \( -1220 a + 202\bigr] \)
99372.6-a2	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -1810 a - 1196\) , \( -49636 a - 5658\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph