Elliptic curve isogeny class with LMFDB label 77760.v (Cremona label 77760ck)

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

Elliptic curves in class 77760.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
77760.v1	77760ck1	$[0, 0, 0, -293868, 49472208]$	$241750216332/48828125$	$566870400000000000$	$[]$	$608256$	$2.1224$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 77760.v1 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 $\mathbb{F}_p$
$7$	$1 + T + 7 T^{2}$	1.7.b
$11$	$1 + 3 T + 11 T^{2}$	1.11.d
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - 5 T + 17 T^{2}$	1.17.af
$19$	$1 + 2 T + 19 T^{2}$	1.19.c
$23$	$1 + 2 T + 23 T^{2}$	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 77760.v do not have complex multiplication.

Modular form 77760.2.a.v