Elliptic curve isogeny class 16.1-d over number field \(\Q(\sqrt{39}) \)

• Base field: \(\Q(\sqrt{39}) \)
• Label: 2.2.156.1-16.1-d
• Conductor: 16.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{39}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 39 \); class number \(2\).

Elliptic curves in class 16.1-d over \(\Q(\sqrt{39}) \)

Isogeny class 16.1-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
16.1-d1	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1586 a - 9895\) , \( 84577 a - 528197\bigr] \)
16.1-d2	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -14 a + 105\) , \( -207 a + 1307\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph