Your new standard should be Ed25519. ;)
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Size of key isn't directly comparable to RSA. Both kinds of keys are structured rather than fully random values. RSA 3072, P-256 and ed25519 are all offering approximately 128-bit security in terms of random symmetric key size. Key sizes for asymmetric encryption are misleading.
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It's because both are different kinds of things than fully random symmetric keys. They're structured in different ways. RSA uses massive prime numbers. A 3072 bit RSA key doesn't mean 3072 random bits. Same thing applies to Ed25519 / ECDSA but not to the same extent at all.