Odd Egg

Japanese version

Using the Mobile Adapter, you can obtain a Pokémon Egg Ticket redeemable at the Goldenrod Pokémon Center for an Egg. The egg can be either Pichu, Cleffa, Igglybuff, Tyrogue, Smoochum, Elekid, or Magby. and will know Dizzy Punch. Its DVs will be preset as either 0000 or 2AAA. (50%, random).

English version

At the Daycare center near Goldenrod City, talk to the old man and you'll receive an Odd Egg. The Pokemon you get is determined as soon as you get the egg. The Pokemon you'll get will hold no items, have 0 Stat Exp, and will have a happiness of 20. The egg will take 5,120 steps to hatch.

Name         DVs  HP   Atk  Def  Spd  SpA  SpD Attacks Known                     Odds (%)
Pichu        0000 17   9    6    11   8    8   Thundershock, Charm, Dizzy Punch     8
Pichu        2AAA 17   9    7    12   9    9   Thundershock, Charm, Dizzy Punch     1
Cleffa       0000 20   7    7    6    9    10  Pound, Charm, Dizzy Punch           16
Cleffa       2AAA 20   7    8    7    10   11  Pound, Charm, Dizzy Punch            3
Igglybuff    0000 24   8    6    6    9    7   Sing, Charm, Dizzy Punch            16
Igglybuff    2AAA 24   8    7    7    10   8   Sing, Charm, Dizzy Punch             3
Smoochum     0000 19   8    6    11   13   11  Pound, Lick, Dizzy Punch            14
Smoochum     2AAA 19   8    7    12   14   12  Pound, Lick, Dizzy Punch             2
Magby        0000 19   12   8    13   12   10  Ember, Dizzy Punch                  10
Magby        2AAA 19   12   9    14   13   11  Ember, Dizzy Punch                   2
Elekid       0000 19   11   8    14   11   10  Quick Attack, Leer, Dizzy Punch     12
Elekid       2AAA 19   11   9    15   12   11  Quick Attack, Leer, Dizzy Punch      2
Tyrogue      0000 18   8    8    8    8    8   Tackle, Dizzy Punch                 10
Tyrogue      2AAA 18   8    9    9    9    9   Tackle, Dizzy Punch                  1

Note that there is a much greater chance for your Odd Egg to contain a weak-stat Pokemon.