Elliptic curve isogeny class with LMFDB label 87120.dp (Cremona label 87120gf)

• Label: 87120.dp
• Number of curves: $1$
• Conductor: $87120$
• CM: no
• Rank: $1$

Rank

The elliptic curve 87120.dp1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 87120.dp do not have complex multiplication.

Modular form 87120.2.a.dp

Elliptic curves in class 87120.dp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
87120.dp1	87120gf1	\([0, 0, 0, -5907, 69586]\)	\(63088729/30720\)	\(11099260846080\)	\([]\)	\(202752\)	\(1.1966\)	\(\Gamma_0(N)\)-optimal