Elliptic curve isogeny class with LMFDB label 169400.bb (Cremona label 169400bo)

• Label: 169400.bb
• Number of curves: $1$
• Conductor: $169400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 169400.bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 169400.bb do not have complex multiplication.

Modular form 169400.2.a.bb

Isogeny graph

Elliptic curves in class 169400.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
169400.bb1	169400bo1	\([0, 0, 0, 75625, -12478125]\)	\(172800/343\)	\(-94944597343750000\)	\([]\)	\(1029600\)	\(1.9422\)	\(\Gamma_0(N)\)-optimal