Elliptic curve isogeny class with Cremona label 144400bh (LMFDB label 144400.cc)

• Label: 144400bh
• Number of curves: $1$
• Conductor: $144400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 144400bh1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 144400bh do not have complex multiplication.

Modular form 144400.2.a.bh

Elliptic curves in class 144400bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
144400.cc1	144400bh1	\([0, 1, 0, 213592, 72027188]\)	\(357911/950\)	\(-2860389564800000000\)	\([]\)	\(1658880\)	\(2.2251\)	\(\Gamma_0(N)\)-optimal