Elliptic curve isogeny class with Cremona label 144150ee (LMFDB label 144150.p)

• Label: 144150ee
• Number of curves: $1$
• Conductor: $144150$
• CM: no
• Rank: $1$

Rank

The elliptic curve 144150ee1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 144150ee do not have complex multiplication.

Modular form 144150.2.a.ee

Elliptic curves in class 144150ee

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
144150.p1	144150ee1	\([1, 1, 0, 12180175, 8662576725]\)	\(12093415625/8957952\)	\(-148028041383391941120000\)	\([]\)	\(13999104\)	\(3.1342\)	\(\Gamma_0(N)\)-optimal