Elliptic curve isogeny class with Cremona label 122018i (LMFDB label 122018.o)

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

Rank

The elliptic curve 122018i1 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
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 122018.2.a.i

Elliptic curves in class 122018i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
122018.o1	122018i1	\([1, 0, 1, -6299394053, -192440940653648]\)	\(-934165699635529/21632\)	\(-640166284668772045378688\)	\([]\)	\(128701440\)	\(4.0907\)	\(\Gamma_0(N)\)-optimal