Elliptic curve isogeny class with Cremona label 177450jy (LMFDB label 177450.q)

• Label: 177450jy
• Number of curves: $1$
• Conductor: $177450$
• CM: no
• Rank: $1$

Rank

The elliptic curve 177450jy1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 177450jy do not have complex multiplication.

Modular form 177450.2.a.jy

Elliptic curves in class 177450jy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177450.q1	177450jy1	\([1, 1, 0, -1375325, 734152125]\)	\(-6103515625/1415232\)	\(-66709517135625000000\)	\([]\)	\(8467200\)	\(2.5234\)	\(\Gamma_0(N)\)-optimal