Elliptic curve isogeny class with LMFDB label 61050.l (Cremona label 61050c)

• Label: 61050.l
• Number of curves: $1$
• Conductor: $61050$
• CM: no
• Rank: $1$

Rank

The elliptic curve 61050.l1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(11\)	\(1 + T\)
\(37\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 61050.l do not have complex multiplication.

Modular form 61050.2.a.l

Elliptic curves in class 61050.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61050.l1	61050c1	\([1, 1, 0, 22800, -576000]\)	\(134214193775/92835072\)	\(-906592500000000\)	\([]\)	\(291840\)	\(1.5586\)	\(\Gamma_0(N)\)-optimal