Elliptic curve isogeny class with LMFDB label 136800.a (Cremona label 136800m)

• Label: 136800.a
• Number of curves: $1$
• Conductor: $136800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 136800.a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 136800.a do not have complex multiplication.

Modular form 136800.2.a.a

Isogeny graph

Elliptic curves in class 136800.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
136800.a1	136800m1	\([0, 0, 0, -12600, -16362000]\)	\(-4741632/2476099\)	\(-115524874944000000\)	\([]\)	\(1658880\)	\(1.9531\)	\(\Gamma_0(N)\)-optimal