Elliptic curve isogeny class with Cremona label 19800bt (LMFDB label 19800.bb)

• Label: 19800bt
• Number of curves: $1$
• Conductor: $19800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 19800bt1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 19800bt do not have complex multiplication.

Modular form 19800.2.a.bt

Elliptic curves in class 19800bt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19800.bb1	19800bt1	\([0, 0, 0, 7125, 14773750]\)	\(137180/323433\)	\(-94313062800000000\)	\([]\)	\(115200\)	\(1.9361\)	\(\Gamma_0(N)\)-optimal