Elliptic curve isogeny class with LMFDB label 19350.bh (Cremona label 19350q)

• Label: 19350.bh
• Number of curves: $1$
• Conductor: $19350$
• CM: no
• Rank: $0$

Rank

The elliptic curve 19350.bh1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(43\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 19350.bh do not have complex multiplication.

Modular form 19350.2.a.bh

Elliptic curves in class 19350.bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19350.bh1	19350q1	\([1, -1, 0, 27051739308, 11310686524075216]\)	\(192203697666261893287480365959/4963160303408775168000000000\)	\(-56533497831015579648000000000000000\)	\([]\)	\(205148160\)	\(5.3485\)	\(\Gamma_0(N)\)-optimal