Elliptic curve isogeny class with Cremona label 33282i (LMFDB label 33282.e)

• Label: 33282i
• Number of curves: $1$
• Conductor: $33282$
• CM: no
• Rank: $2$

Rank

The elliptic curve 33282i1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(43\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 33282i do not have complex multiplication.

Modular form 33282.2.a.i

Isogeny graph

Elliptic curves in class 33282i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
33282.e1	33282i1	\([1, -1, 0, -25308, 1560816]\)	\(-719292433/2592\)	\(-6460056967968\)	\([]\)	\(80640\)	\(1.3195\)	\(\Gamma_0(N)\)-optimal