Elliptic curve isogeny class 144.1-m over number field \(\Q(\sqrt{19}) \)

• Base field: \(\Q(\sqrt{19}) \)
• Label: 2.2.76.1-144.1-m
• Conductor: 144.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{19}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).

Elliptic curves in class 144.1-m over \(\Q(\sqrt{19}) \)

Isogeny class 144.1-m contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
144.1-m1	\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 43536 a - 189739\) , \( -10343971 a + 45088374\bigr] \)
144.1-m2	\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 2856 a - 12419\) , \( -146315 a + 637822\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph