Elliptic curve isogeny class with LMFDB label 202675.k (Cremona label 202675k)

• Label: 202675.k
• Number of curves: $1$
• Conductor: $202675$
• CM: no
• Rank: $1$

Rank

The elliptic curve 202675.k1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(5\)	\(1\)
\(11\)	\(1\)
\(67\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 202675.k do not have complex multiplication.

Modular form 202675.2.a.k

Elliptic curves in class 202675.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
202675.k1	202675k1	\([1, 0, 0, 96737, 130969642]\)	\(144672215/10790417\)	\(-7467141379272265625\)	\([]\)	\(4104000\)	\(2.3010\)	\(\Gamma_0(N)\)-optimal