Elliptic curve isogeny class with LMFDB label 101232.bd (Cremona label 101232u)

• Label: 101232.bd
• Number of curves: $1$
• Conductor: $101232$
• CM: no
• Rank: $1$

Rank

The elliptic curve 101232.bd1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(19\)	\(1 + T\)
\(37\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 101232.bd do not have complex multiplication.

Modular form 101232.2.a.bd

Elliptic curves in class 101232.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
101232.bd1	101232u1	\([0, 0, 0, -105984, 1826928]\)	\(44091731607552/25033168477\)	\(74748640541626368\)	\([]\)	\(725760\)	\(1.9276\)	\(\Gamma_0(N)\)-optimal