I assume that you're referring to U.S. coins because of the category where you linked this post.
The U.S. issued large-size 1 cent coins from 1793 to 1857. Small cents (the current size) were introduced with a trial series in 1856 and went to full production in 1857, overlapping with large cents during that year.
The 2-cent piece was struck from 1864 to 1873. Interestingly, proposals to resurrect the denomination as a way to reduce the need for pennies have come up every few years since the 1940s, but nothing has ever gone beyond the talking stage.
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In the US there are pennies and there were 2 cent coins but they're not the same. Pennies are one cent coins. Two cent coins were made from 1864 to 1873, so please check your coin again and post a new question.
ALL American pennies are one-cent coins. The two names are synonyms. A "one cent penny" is like saying "a 32 ounce quart". Please see the Related Question for values
Sorry no US 2 cent coins dated 1863
1 cent, two cent, three cent (two types), half-dimes, dimes, quarters, half-dollars, dollars ( gold & Silver), $20, $10, $5, and $2.50 gold coins.
The U.S. didn't issue two cent coins in 1846. 1864-1873 only.