Optimal Level and Weight
The strong form of Serre's conjecture describes the level and weight of the modular form.
The optimal level is the Artin conductor of the representation, with the power of l removed.
Read more about this topic: Serre's Modularity Conjecture
Famous quotes containing the words optimal, level and/or weight:
“In the most desirable conditions, the child learns to manage anxiety by being exposed to just the right amounts of it, not much more and not much less. This optimal amount of anxiety varies with the child’s age and temperament. It may also vary with cultural values.... There is no mathematical formula for calculating exact amounts of optimal anxiety. This is why child rearing is an art and not a science.”
—Alicia F. Lieberman (20th century)
“Young children learn in a different manner from that of older children and adults, yet we can teach them many things if we adapt our materials and mode of instruction to their level of ability. But we miseducate young children when we assume that their learning abilities are comparable to those of older children and that they can be taught with materials and with the same instructional procedures appropriate to school-age children.”
—David Elkind (20th century)
“The hurt is not enough:
I long for weight and strength
To feel the earth as rough
To all my length.”
—Robert Frost (1874–1963)