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

• Label: 1446.b
• Number of curves: $1$
• Conductor: $1446$
• CM: no
• Rank: $1$

Rank

The elliptic curve 1446.b1 has rank \(1\).

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
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 1446.2.a.b

Isogeny graph

Elliptic curves in class 1446.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1446.b1	1446d1	\([1, 0, 1, -65, 1460]\)	\(-29704593673/910771776\)	\(-910771776\)	\([]\)	\(960\)	\(0.39955\)	\(\Gamma_0(N)\)-optimal