Elliptic curve isogeny class with LMFDB label 3234.o (Cremona label 3234h)

• Label: 3234.o
• Number of curves: $1$
• Conductor: $3234$
• CM: no
• Rank: $0$

Elliptic curves in class 3234.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3234.o1	3234h1	$[1, 0, 1, -238607, 46487522]$	$-260607143968297/11270993184$	$-64975032778116384$	$[]$	$58800$	$1.9918$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 3234.o1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 + T$
$3$	$1 - T$
$7$	$1$
$11$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - 3 T + 5 T^{2}$	1.5.ad
$13$	$1 - 6 T + 13 T^{2}$	1.13.ag
$17$	$1 + 5 T + 17 T^{2}$	1.17.f
$19$	$1 - 6 T + 19 T^{2}$	1.19.ag
$23$	$1 - 5 T + 23 T^{2}$	1.23.af
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3234.o do not have complex multiplication.

Modular form 3234.2.a.o