Elliptic curve isogeny class with Cremona label 143550dm (LMFDB label 143550.be)

• Label: 143550dm
• Number of curves: $1$
• Conductor: $143550$
• CM: no
• Rank: $2$

Rank

The elliptic curve 143550dm1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 + T\)
\(29\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 143550dm do not have complex multiplication.

Modular form 143550.2.a.dm

Elliptic curves in class 143550dm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
143550.be1	143550dm1	\([1, -1, 0, -6192, 200016]\)	\(-57629979025/3996432\)	\(-1820874330000\)	\([]\)	\(258048\)	\(1.1034\)	\(\Gamma_0(N)\)-optimal