Elliptic curve isogeny class with LMFDB label 118579.b (Cremona label 118579b)

• Label: 118579.b
• Number of curves: $1$
• Conductor: $118579$
• CM: no
• Rank: $0$

Rank

The elliptic curve 118579.b1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(19\)	\(1 + T\)
\(79\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 118579.b do not have complex multiplication.

Modular form 118579.2.a.b

Elliptic curves in class 118579.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
118579.b1	118579b1	\([1, -1, 0, 423612946, 8846527401901]\)	\(70143520960521/322687697779\)	\(-38674635582769950658581013501\)	\([]\)	\(57335040\)	\(4.1678\)	\(\Gamma_0(N)\)-optimal