Elliptic curve isogeny class with Cremona label 1446a (LMFDB label 1446.a)

• Label: 1446a
• Number of curves: $1$
• Conductor: $1446$
• CM: no
• Rank: $2$

Rank

The elliptic curve 1446a1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(241\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 1446a do not have complex multiplication.

Modular form 1446.2.a.a

Elliptic curves in class 1446a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1446.a1	1446a1	\([1, 1, 0, -4, 4]\)	\(-10218313/8676\)	\(-8676\)	\([]\)	\(192\)	\(-0.54669\)	\(\Gamma_0(N)\)-optimal