Elliptic curve isogeny class with LMFDB label 4080.y (Cremona label 4080bf)

• Label: 4080.y
• Number of curves: $1$
• Conductor: $4080$
• CM: no
• Rank: $1$

Elliptic curves in class 4080.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4080.y1	4080bf1	$[0, 1, 0, 30, -45]$	$180472064/185895$	$-2974320$	$[]$	$672$	$-0.071069$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 4080.y1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 - T$
$5$	$1 - T$
$17$	$1 - T$

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 4080.y do not have complex multiplication.

Modular form 4080.2.a.y