Elliptic curve isogeny class with Cremona label 190575f (LMFDB label 190575.p)

• Label: 190575f
• Number of curves: $1$
• Conductor: $190575$
• CM: no
• Rank: $1$

Rank

The elliptic curve 190575f1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 190575f do not have complex multiplication.

Modular form 190575.2.a.f

Elliptic curves in class 190575f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
190575.p1	190575f1	\([0, 0, 1, -358875, 82749026]\)	\(210720960000000/16807\)	\(407695382325\)	\([]\)	\(1105920\)	\(1.6733\)	\(\Gamma_0(N)\)-optimal