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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.6-e
• 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-e over \(\Q(\sqrt{-3}) \)

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

Curve label	Weierstrass Coefficients
99372.6-e1	\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -2706 a + 2612\) , \( 16293 a + 17071\bigr] \)
99372.6-e2	\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 684 a - 548\) , \( 1413 a + 2361\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph