Elliptic curve isogeny class with LMFDB label 41400.g (Cremona label 41400ba)

• Label: 41400.g
• Number of curves: $1$
• Conductor: $41400$
• CM: no
• Rank: $2$

Rank

The elliptic curve 41400.g1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 41400.g do not have complex multiplication.

Modular form 41400.2.a.g

Elliptic curves in class 41400.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
41400.g1	41400ba1	\([0, 0, 0, -7500, 1572500]\)	\(-640000/14283\)	\(-1041230700000000\)	\([]\)	\(161280\)	\(1.5624\)	\(\Gamma_0(N)\)-optimal