Elliptic curve isogeny class 32448.2-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-32448.2-b
• Conductor: 32448.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 32448.2-b over \(\Q(\sqrt{-3}) \)

Isogeny class 32448.2-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
32448.2-b1	\( \bigl[0\) , \( -1\) , \( 0\) , \( -12600 a + 16584\) , \( 288288 a + 513324\bigr] \)
32448.2-b2	\( \bigl[0\) , \( -1\) , \( 0\) , \( 564\) , \( 25668\bigr] \)
32448.2-b3	\( \bigl[0\) , \( -1\) , \( 0\) , \( -651\) , \( 6228\bigr] \)
32448.2-b4	\( \bigl[0\) , \( -1\) , \( 0\) , \( 12600 a + 3984\) , \( -288288 a + 801612\bigr] \)

Rank

Rank: \( 0 \)

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