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

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

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

Curve label	Weierstrass Coefficients
99372.4-i1	\( \bigl[a + 1\) , \( -a\) , \( a\) , \( -299 a + 778\) , \( -8127 a + 215\bigr] \)
99372.4-i2	\( \bigl[a + 1\) , \( -a\) , \( a\) , \( 2481 a - 632\) , \( -18607 a - 43679\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph