Elliptic curve isogeny class with LMFDB label 100188.y (Cremona label 100188o)

• Label: 100188.y
• Number of curves: $1$
• Conductor: $100188$
• CM: no
• Rank: $0$

Rank

The elliptic curve 100188.y1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 100188.y do not have complex multiplication.

Modular form 100188.2.a.y

Elliptic curves in class 100188.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100188.y1	100188o1	\([0, 0, 0, -594957, 177639253]\)	\(-846834944/5589\)	\(-153714836339268336\)	\([]\)	\(1013760\)	\(2.1336\)	\(\Gamma_0(N)\)-optimal