Elliptic curve isogeny class with LMFDB label 176400.b (Cremona label 176400nb)

• Label: 176400.b
• Number of curves: $1$
• Conductor: $176400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 176400.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 176400.b do not have complex multiplication.

Modular form 176400.2.a.b

Elliptic curves in class 176400.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
176400.b1	176400nb1	\([0, 0, 0, -47775, 4191950]\)	\(-43061200/2187\)	\(-612475123680000\)	\([]\)	\(1032192\)	\(1.5979\)	\(\Gamma_0(N)\)-optimal