Elliptic curve isogeny class with Cremona label 101400bz (LMFDB label 101400.z)

• Label: 101400bz
• Number of curves: $1$
• Conductor: $101400$
• CM: no
• Rank: $0$

Rank

The elliptic curve 101400bz1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 101400bz do not have complex multiplication.

Modular form 101400.2.a.bz

Elliptic curves in class 101400bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
101400.z1	101400bz1	\([0, -1, 0, 201392, 35105212]\)	\(69212/81\)	\(-1057187014416000000\)	\([]\)	\(1078272\)	\(2.1448\)	\(\Gamma_0(N)\)-optimal