Elliptic curve isogeny class with Cremona label 225420y (LMFDB label 225420.l)

• Label: 225420y
• Number of curves: $1$
• Conductor: $225420$
• CM: no
• Rank: $0$

Rank

The elliptic curve 225420y1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1 + T\)
\(13\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 225420y do not have complex multiplication.

Modular form 225420.2.a.y

Elliptic curves in class 225420y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
225420.l1	225420y1	\([0, -1, 0, -66430, -6568523]\)	\(-412435709457152/34701615\)	\(-2727824551920\)	\([]\)	\(814080\)	\(1.4295\)	\(\Gamma_0(N)\)-optimal