Elliptic curve isogeny class 28.1-d over number field \(\Q(\sqrt{161}) \)

• Base field: \(\Q(\sqrt{161}) \)
• Label: 2.2.161.1-28.1-d
• Conductor: 28.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{161}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 40 \); class number \(1\).

Elliptic curves in class 28.1-d over \(\Q(\sqrt{161}) \)

Isogeny class 28.1-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28.1-d1	\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -11957 a + 81859\) , \( -222525 a + 1523045\bigr] \)
28.1-d2	\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 82177726 a - 562448068\) , \( -135663600270 a + 928520855840\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph