Elliptic curve isogeny class with LMFDB label 180918.q (Cremona label 180918bt)

• Label: 180918.q
• Number of curves: $1$
• Conductor: $180918$
• CM: no
• Rank: $1$

Rank

The elliptic curve 180918.q1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(19\)	\(1 + T\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 180918.q do not have complex multiplication.

Modular form 180918.2.a.q

Elliptic curves in class 180918.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
180918.q1	180918bt1	\([1, -1, 0, -57231, -7151675]\)	\(-192100033/94392\)	\(-10186611249541752\)	\([]\)	\(1520640\)	\(1.7770\)	\(\Gamma_0(N)\)-optimal