Elliptic curve isogeny class with Cremona label 88752bd (LMFDB label 88752.w)

• Label: 88752bd
• Number of curves: $1$
• Conductor: $88752$
• CM: no
• Rank: $1$

Rank

The elliptic curve 88752bd1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 88752bd do not have complex multiplication.

Modular form 88752.2.a.bd

Elliptic curves in class 88752bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
88752.w1	88752bd1	\([0, 1, 0, -59784, -31826700]\)	\(-1687532377/30233088\)	\(-423366293452750848\)	\([]\)	\(1451520\)	\(2.0634\)	\(\Gamma_0(N)\)-optimal