Elliptic curve isogeny class with LMFDB label 372645.es (Cremona label 372645es)

• Label: 372645.es
• Number of curves: $1$
• Conductor: $372645$
• CM: no
• Rank: $0$

Rank

The elliptic curve 372645.es1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 372645.es do not have complex multiplication.

Modular form 372645.2.a.es

Elliptic curves in class 372645.es

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
372645.es1	372645es1	\([1, -1, 0, -262404, 394677765]\)	\(-28561/945\)	\(-66114146436064562745\)	\([]\)	\(11501568\)	\(2.4835\)	\(\Gamma_0(N)\)-optimal