Elliptic curve isogeny class with LMFDB label 374400.hs (Cremona label 374400hs)

• Label: 374400.hs
• Number of curves: $1$
• Conductor: $374400$
• CM: no
• Rank: $0$

Rank

The elliptic curve 374400.hs1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 374400.hs do not have complex multiplication.

Modular form 374400.2.a.hs

Elliptic curves in class 374400.hs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
374400.hs1	374400hs1	\([0, 0, 0, -56128125, -161857606250]\)	\(-21459903980300000/812017791\)	\(-739951212048750000000\)	\([]\)	\(30643200\)	\(3.0904\)	\(\Gamma_0(N)\)-optimal