Elliptic curve isogeny class with LMFDB label 9555.t (Cremona label 9555f)

• Label: 9555.t
• Number of curves: $1$
• Conductor: $9555$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9555.t1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9555.t do not have complex multiplication.

Modular form 9555.2.a.t

Elliptic curves in class 9555.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9555.t1	9555f1	\([0, -1, 1, -16, 237]\)	\(-4096/195\)	\(-22941555\)	\([]\)	\(3960\)	\(0.092371\)	\(\Gamma_0(N)\)-optimal