Elliptic curve isogeny class with LMFDB label 120213.a (Cremona label 120213l)

• Label: 120213.a
• Number of curves: $1$
• Conductor: $120213$
• CM: no
• Rank: $0$

Rank

The elliptic curve 120213.a1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(19\)	\(1\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 120213.a do not have complex multiplication.

Modular form 120213.2.a.a

Elliptic curves in class 120213.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
120213.a1	120213l1	\([0, 0, 1, -3249, 46298]\)	\(110592/37\)	\(1268968548213\)	\([]\)	\(201600\)	\(1.0250\)	\(\Gamma_0(N)\)-optimal