Elliptic curve isogeny class with Cremona label 122018ba (LMFDB label 122018.t)

• Label: 122018ba
• Number of curves: $1$
• Conductor: $122018$
• CM: no
• Rank: $0$

Rank

The elliptic curve 122018ba1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(13\)	\(1\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 122018ba do not have complex multiplication.

Modular form 122018.2.a.ba

Elliptic curves in class 122018ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
122018.t1	122018ba1	\([1, -1, 1, -201, -24735]\)	\(-27/8\)	\(-264856663448\)	\([]\)	\(269280\)	\(0.87107\)	\(\Gamma_0(N)\)-optimal