Elliptic curve isogeny class with LMFDB label 390225.q (Cremona label 390225q)

• Label: 390225.q
• Number of curves: $1$
• Conductor: $390225$
• CM: no
• Rank: $1$

Rank

The elliptic curve 390225.q1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(11\)	\(1\)
\(43\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 390225.q do not have complex multiplication.

Modular form 390225.2.a.q

Elliptic curves in class 390225.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
390225.q1	390225q1	\([1, 0, 0, -72663, -15077358]\)	\(-38320214425/66447513\)	\(-73572389111120625\)	\([]\)	\(3006720\)	\(1.9269\)	\(\Gamma_0(N)\)-optimal