Elliptic curve isogeny class with Cremona label 20070bh (LMFDB label 20070.bc)

• Label: 20070bh
• Number of curves: $1$
• Conductor: $20070$
• CM: no
• Rank: $0$

Elliptic curves in class 20070bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20070.bc1	20070bh1	$[1, -1, 1, 13, 101]$	$357911/6690$	$-4877010$	$[]$	$3520$	$-0.036239$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 20070bh1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1$
$5$	$1 - T$
$223$	$1 + T$

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 20070bh do not have complex multiplication.

Modular form 20070.2.a.bh