Elliptic curve isogeny class 99372.5-i over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-99372.5-i
• Conductor: 99372.5
• Rank: \( 1 \)

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

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

Elliptic curves in class 99372.5-i over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.5-i contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
99372.5-i1	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 43 a - 43\) , \( 255\bigr] \)
99372.5-i2	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -27 a + 27\) , \( 45\bigr] \)
99372.5-i3	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -7 a + 7\) , \( -7\bigr] \)
99372.5-i4	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -417 a + 417\) , \( 3243\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph