Elliptic curve isogeny class with Cremona label 18150ci (LMFDB label 18150.cj)

• Label: 18150ci
• Number of curves: $2$
• Conductor: $18150$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 18150ci have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 18150ci do not have complex multiplication.

Modular form 18150.2.a.ci

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 18150ci

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18150.cj2	18150ci1	\([1, 1, 1, 30187, 949631]\)	\(2747555975/1932612\)	\(-2139837529582500\)	\([]\)	\(144000\)	\(1.6301\)	\(\Gamma_0(N)\)-optimal
18150.cj1	18150ci2	\([1, 1, 1, -2731638, -1740131469]\)	\(-3257444411545/2737152\)	\(-1894153021200000000\)	\([]\)	\(720000\)	\(2.4348\)