Elliptic curve isogeny class with LMFDB label 60016.a (Cremona label 60016h)

• Label: 60016.a
• Number of curves: $1$
• Conductor: $60016$
• CM: no
• Rank: $1$

Rank

The elliptic curve 60016.a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(11\)	\(1\)
\(31\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 60016.a do not have complex multiplication.

Modular form 60016.2.a.a

Elliptic curves in class 60016.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
60016.a1	60016h1	\([0, 1, 0, -5925652, -5554032849]\)	\(-811813221498166528/3464127271\)	\(-98190604357440496\)	\([]\)	\(1728000\)	\(2.4682\)	\(\Gamma_0(N)\)-optimal