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

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

Rank

The elliptic curve 249900bb1 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 \(\mathbb{F}_p\)
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 9 T + 23 T^{2}\)	1.23.aj
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 249900.2.a.bb

Elliptic curves in class 249900bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
249900.bb1	249900bb1	\([0, -1, 0, 42467, -3641063]\)	\(17997824/22491\)	\(-10584174636000000\)	\([]\)	\(1935360\)	\(1.7609\)	\(\Gamma_0(N)\)-optimal