Elliptic curve isogeny class with LMFDB label 303450.cm (Cremona label 303450cm)

• Label: 303450.cm
• Number of curves: $1$
• Conductor: $303450$
• CM: no
• Rank: $2$

Rank

The elliptic curve 303450.cm1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1 - T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 9 T + 23 T^{2}\)	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 303450.cm do not have complex multiplication.

Modular form 303450.2.a.cm

Elliptic curves in class 303450.cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
303450.cm1	303450cm1	\([1, 0, 1, -3126, -40952]\)	\(18694465225/6858432\)	\(1238804280000\)	\([]\)	\(798336\)	\(1.0207\)	\(\Gamma_0(N)\)-optimal