Elliptic curve isogeny class 23.2-d over number field 3.3.761.1

• Base field: 3.3.761.1
• Label: 3.3.761.1-23.2-d
• Conductor: 23.2
• Rank: \( 0 \)

Base field 3.3.761.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x - 1 \); class number \(1\).

Elliptic curves in class 23.2-d over 3.3.761.1

Isogeny class 23.2-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
23.2-d1	\( \bigl[a^{2} - 4\) , \( a\) , \( a + 1\) , \( 374 a^{2} + 347 a - 4567\) , \( 12103 a^{2} + 4128 a - 126350\bigr] \)
23.2-d2	\( \bigl[a^{2} - 4\) , \( a\) , \( a + 1\) , \( 29 a^{2} - 28 a - 162\) , \( -105 a^{2} + 131 a + 621\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph