Elliptic curve isogeny class with Cremona label 975h (LMFDB label 975.k)

• Label: 975h
• Number of curves: $1$
• Conductor: $975$
• CM: no
• Rank: $1$

Rank

The elliptic curve 975h1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$3$	$1 - T$
$5$	$1$
$13$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$2$	$1 + 2 T^{2}$	1.2.a
$7$	$1 + T + 7 T^{2}$	1.7.b
$11$	$1 + T + 11 T^{2}$	1.11.b
$17$	$1 + T + 17 T^{2}$	1.17.b
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 + 3 T + 23 T^{2}$	1.23.d
$29$	$1 + 8 T + 29 T^{2}$	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 975h do not have complex multiplication.

Modular form 975.2.a.h

Elliptic curves in class 975h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
975.k1	975h1	$[1, 0, 1, -46, -127]$	$-417267265/19773$	$-494325$	$[]$	$144$	$-0.14470$	$\Gamma_0(N)$-optimal