Elliptic curve isogeny class with LMFDB label 77760.bu (Cremona label 77760cm)

• Label: 77760.bu
• Number of curves: $1$
• Conductor: $77760$
• CM: no
• Rank: $0$

Elliptic curves in class 77760.bu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
77760.bu1	77760cm1	$[0, 0, 0, 999252, 451382928]$	$13857745529076264/19073486328125$	$-151875000000000000000$	$[]$	$1860480$	$2.5582$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 77760.bu1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 - 2 T + 7 T^{2}$	1.7.ac
$11$	$1 + 3 T + 11 T^{2}$	1.11.d
$13$	$1 - 2 T + 13 T^{2}$	1.13.ac
$17$	$1 + 3 T + 17 T^{2}$	1.17.d
$19$	$1 + 6 T + 19 T^{2}$	1.19.g
$23$	$1 + T + 23 T^{2}$	1.23.b
$29$	$1 + T + 29 T^{2}$	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 77760.bu do not have complex multiplication.

Modular form 77760.2.a.bu