Elliptic curve isogeny class 34596.1-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-34596.1-d
• Conductor: 34596.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 34596.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 34596.1-d contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
34596.1-d1	\( \bigl[a\) , \( a\) , \( a\) , \( -502 a + 1395\) , \( 11605 a - 9356\bigr] \)
34596.1-d2	\( \bigl[a\) , \( a\) , \( a\) , \( 53 a - 15\) , \( -50 a + 73\bigr] \)
34596.1-d3	\( \bigl[a\) , \( a\) , \( a\) , \( 35903 a - 118365\) , \( -6646970 a + 15108733\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 5 \\ 5 & 1 & 25 \\ 5 & 25 & 1 \end{array}\right)\)

Isogeny graph