Elliptic curve isogeny class with Cremona label 180918e (LMFDB label 180918.bc)

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

Rank

The elliptic curve 180918e1 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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 180918.2.a.e

Elliptic curves in class 180918e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
180918.bc1	180918e1	\([1, -1, 1, -4826, 65305]\)	\(32226867657/14047232\)	\(5417188595712\)	\([]\)	\(304128\)	\(1.1394\)	\(\Gamma_0(N)\)-optimal