Elliptic curve isogeny class with LMFDB label 143650.cb (Cremona label 143650bb)

• Label: 143650.cb
• Number of curves: $1$
• Conductor: $143650$
• CM: no
• Rank: $1$

Rank

The elliptic curve 143650.cb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(5\)	\(1\)
\(13\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 7 T + 23 T^{2}\)	1.23.h
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 143650.cb do not have complex multiplication.

Modular form 143650.2.a.cb

Elliptic curves in class 143650.cb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
143650.cb1	143650bb1	\([1, 1, 1, -98907338, 378274179031]\)	\(49677039188881/44564480\)	\(95993625044295680000000\)	\([]\)	\(22763520\)	\(3.3344\)	\(\Gamma_0(N)\)-optimal