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

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

Rank

The elliptic curve 293046.r1 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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 4 T + 5 T^{2}\)	1.5.e
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 293046.2.a.r

Elliptic curves in class 293046.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
293046.r1	293046r1	\([1, 0, 1, -1018, 106472]\)	\(-289/12\)	\(-4837678973868\)	\([]\)	\(1034208\)	\(1.1141\)	\(\Gamma_0(N)\)-optimal