Elliptic curve isogeny class with Cremona label 293046n (LMFDB label 293046.n)

• Label: 293046n
• Number of curves: $1$
• Conductor: $293046$
• CM: no
• Rank: $1$

Rank

The elliptic curve 293046n1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(13\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 - 9 T + 23 T^{2}\)	1.23.aj
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 293046n do not have complex multiplication.

Modular form 293046.2.a.n

Elliptic curves in class 293046n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
293046.n1	293046n1	\([1, 1, 0, -15561864087, -736605420884523]\)	\(298779371619116129414560801/4874288601508740071424\)	\(6799378166113982244913491738624\)	\([]\)	\(880927488\)	\(4.7154\)	\(\Gamma_0(N)\)-optimal