Elliptic curve isogeny class with Cremona label 27225y (LMFDB label 27225.k)

• Label: 27225y
• Number of curves: $1$
• Conductor: $27225$
• CM: no
• Rank: $1$

Rank

The elliptic curve 27225y1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 27225y do not have complex multiplication.

Modular form 27225.2.a.y

Isogeny graph

Elliptic curves in class 27225y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27225.k1	27225y1	\([1, -1, 1, -220430, 39889072]\)	\(-1273201875\)	\(-930329296875\)	\([]\)	\(95040\)	\(1.6033\)	\(\Gamma_0(N)\)-optimal