Elliptic curve isogeny class with LMFDB label 30064.d (Cremona label 30064e)

• Label: 30064.d
• Number of curves: $1$
• Conductor: $30064$
• CM: no
• Rank: $0$

Elliptic curves in class 30064.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30064.d1	30064e1	$[0, 0, 0, -443, -136726]$	$-2347334289/1970274304$	$-8070243549184$	$[]$	$28800$	$1.1556$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 30064.d1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$1879$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + 3 T^{2}$	1.3.a
$5$	$1 + T + 5 T^{2}$	1.5.b
$7$	$1 - T + 7 T^{2}$	1.7.ab
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 - 4 T + 13 T^{2}$	1.13.ae
$17$	$1 - T + 17 T^{2}$	1.17.ab
$19$	$1 + 19 T^{2}$	1.19.a
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 + 3 T + 29 T^{2}$	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 30064.d do not have complex multiplication.

Modular form 30064.2.a.d