Elliptic curve isogeny class with Cremona label 179536bc (LMFDB label 179536.k)

• Label: 179536bc
• Number of curves: $1$
• Conductor: $179536$
• CM: no
• Rank: $1$

Rank

The elliptic curve 179536bc1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(229\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 179536bc do not have complex multiplication.

Modular form 179536.2.a.bc

Elliptic curves in class 179536bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
179536.k1	179536bc1	\([0, -1, 0, -947, 9094]\)	\(49948672/11221\)	\(21122230864\)	\([]\)	\(104448\)	\(0.69407\)	\(\Gamma_0(N)\)-optimal