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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.4-j
• Conductor: 99372.4
• Rank: \( 0 \)

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

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

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

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

Curve label	Weierstrass Coefficients
99372.4-j1	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 12019 a + 16360\) , \( 1355219 a - 1594281\bigr] \)
99372.4-j2	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 699 a + 1250\) , \( 12973 a - 21477\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph