Elliptic curve isogeny class with LMFDB label 226575.w (Cremona label 226575w)

• Label: 226575.w
• Number of curves: $1$
• Conductor: $226575$
• CM: no
• Rank: $0$

Rank

The elliptic curve 226575.w1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(19\)	\(1 + T\)
\(53\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 226575.w do not have complex multiplication.

Modular form 226575.2.a.w

Elliptic curves in class 226575.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
226575.w1	226575w1	\([0, 0, 1, 13725, 353531]\)	\(25102282752/19266931\)	\(-219462385921875\)	\([]\)	\(953856\)	\(1.4399\)	\(\Gamma_0(N)\)-optimal