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

• Label: 303450by
• Number of curves: $1$
• Conductor: $303450$
• CM: no
• Rank: $0$

Rank

The elliptic curve 303450by1 has rank \(0\).

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 \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 7 T + 23 T^{2}\)	1.23.ah
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 303450by do not have complex multiplication.

Modular form 303450.2.a.by

Elliptic curves in class 303450by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
303450.by1	303450by1	\([1, 0, 1, -8821, -380782]\)	\(-125768785/30618\)	\(-18476102191050\)	\([]\)	\(868224\)	\(1.2641\)	\(\Gamma_0(N)\)-optimal