Elliptic curve isogeny class with Cremona label 110836c (LMFDB label 110836.a)

• Label: 110836c
• Number of curves: $1$
• Conductor: $110836$
• CM: no
• Rank: $1$

Rank

The elliptic curve 110836c1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(11\)	\(1\)
\(229\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 110836c do not have complex multiplication.

Modular form 110836.2.a.c

Elliptic curves in class 110836c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110836.a1	110836c1	\([0, 0, 0, -484, -1331]\)	\(442368/229\)	\(6490999504\)	\([]\)	\(178200\)	\(0.57482\)	\(\Gamma_0(N)\)-optimal