Elliptic curve isogeny class with LMFDB label 129600.hf (Cremona label 129600v)

• Label: 129600.hf
• Number of curves: $1$
• Conductor: $129600$
• CM: no
• Rank: $1$

Elliptic curves in class 129600.hf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
129600.hf1	129600v1	$[0, 0, 0, -75, 500]$	$-576$	$-81000000$	$[]$	$26880$	$0.20798$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 129600.hf1 has rank $1$.

L-function data

Bad L-factors:

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

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 129600.hf do not have complex multiplication.

Modular form 129600.2.a.hf