But this Love, too (or satisfaction) has its highest ideal in the metaphysical realm of Knowledge that can grant a man a far more satisfying and blissful existence. In short, Socrates' hierarchy of Love is the following: Love is a beautiful body that is the beauty of all bodies that is the beauty of all souls. Following from which, Love is also the laws, activities, and customs leading onto the beauty of knowledge, ideas, and theories resulting in Beauty itself. Beauty, therefore, is synonymous with Knowledge and Right Action (Hecht, 25).

Socrates discusses Love, too, in another essay (Hecht, 95) where he talks about the pleasure that gods receive by observing the right actions of man. Here, too, Socrates employs the term 'love' in reference to being pleased by something that is morally right. The gods appreciate someone who is a just person and...

Socrates's obsession, according to him, was and forever will be knowledge. And since Socrates was someone who pursued knowledge, we can conclude that Socrates was in love with to him the greatest Form of Beauty that existed. He was in a state of Ideal Love.
Source

Plato (1999) the symposium London; New York: Penguin Books

Alexander G. (2007) What would Socrates say?: Philosophers answer your questions about love, nothingness, and everything else New York: Clarkson Potter/Publishers

Hecht, J. (1999) Plato's Symposium: Eros and the human predicament New York: Twayne Publishers