Elliptic curve isogeny class with Cremona label 131784d (LMFDB label 131784.o)

• Label: 131784d
• Number of curves: $1$
• Conductor: $131784$
• CM: no
• Rank: $0$

Elliptic curves in class 131784d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
131784.o1	131784d1	$[0, 1, 0, 15799, 551883]$	$70575104/61731$	$-381449285616384$	$[]$	$496128$	$1.4854$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 131784d1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 + T$
$17$	$1$
$19$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + T + 5 T^{2}$	1.5.b
$7$	$1 - 3 T + 7 T^{2}$	1.7.ad
$11$	$1 + 2 T + 11 T^{2}$	1.11.c
$13$	$1 + 13 T^{2}$	1.13.a
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 + 10 T + 29 T^{2}$	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 131784d do not have complex multiplication.

Modular form 131784.2.a.d