Elliptic curve isogeny class with Cremona label 227136cn (LMFDB label 227136.g)

• Label: 227136cn
• Number of curves: $1$
• Conductor: $227136$
• CM: no
• Rank: $0$

Rank

The elliptic curve 227136cn1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 227136cn do not have complex multiplication.

Modular form 227136.2.a.cn

Isogeny graph

Elliptic curves in class 227136cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
227136.g1	227136cn1	\([0, -1, 0, -158747, -125817771]\)	\(-1432197595648/21327258771\)	\(-6588326693196271296\)	\([]\)	\(4515840\)	\(2.2924\)	\(\Gamma_0(N)\)-optimal