Elliptic curve isogeny class with LMFDB label 249900.dq (Cremona label 249900dq)

• Label: 249900.dq
• Number of curves: $1$
• Conductor: $249900$
• CM: no
• Rank: $1$

Rank

The elliptic curve 249900.dq1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 249900.dq do not have complex multiplication.

Modular form 249900.2.a.dq

Elliptic curves in class 249900.dq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
249900.dq1	249900dq1	\([0, 1, 0, -637653, 321439383]\)	\(-38081092648960/37321507107\)	\(-28101363133641235200\)	\([]\)	\(6462720\)	\(2.4278\)	\(\Gamma_0(N)\)-optimal