Elliptic curve isogeny class with LMFDB label 103428.u (Cremona label 103428h)

• Label: 103428.u
• Number of curves: $1$
• Conductor: $103428$
• CM: no
• Rank: $1$

Elliptic curves in class 103428.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
103428.u1	103428h1	$[0, 0, 0, -8112, 430612]$	$-65536/51$	$-45940718543616$	$[]$	$196992$	$1.3202$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 103428.u1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$13$	$1$
$17$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - T + 5 T^{2}$	1.5.ab
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 - 5 T + 11 T^{2}$	1.11.af
$19$	$1 + T + 19 T^{2}$	1.19.b
$23$	$1 - 3 T + 23 T^{2}$	1.23.ad
$29$	$1 + 2 T + 29 T^{2}$	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 103428.u do not have complex multiplication.

Modular form 103428.2.a.u