Elliptic curve isogeny class with LMFDB label 353925.o (Cremona label 353925o)

• Label: 353925.o
• Number of curves: $1$
• Conductor: $353925$
• CM: no
• Rank: $1$

Rank

The elliptic curve 353925.o1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 353925.o do not have complex multiplication.

Modular form 353925.2.a.o

Elliptic curves in class 353925.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
353925.o1	353925o1	\([0, 0, 1, -5181825, 4662118656]\)	\(-762549907456/24024195\)	\(-484788723804843046875\)	\([]\)	\(23063040\)	\(2.7455\)	\(\Gamma_0(N)\)-optimal