Elliptic curve isogeny class with LMFDB label 66150.jr (Cremona label 66150kf)

• Label: 66150.jr
• Number of curves: $1$
• Conductor: $66150$
• CM: no
• Rank: $1$

Rank

The elliptic curve 66150.jr1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 66150.jr do not have complex multiplication.

Modular form 66150.2.a.jr

Elliptic curves in class 66150.jr

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66150.jr1	66150kf1	\([1, -1, 1, -1043930, -389171303]\)	\(15454515/896\)	\(7294408591050000000\)	\([]\)	\(1451520\)	\(2.3733\)	\(\Gamma_0(N)\)-optimal