Can I run Winnow-12B on an RTX 5070?

Yes

Its Winnow-12B-NVFP4 file (8.16 GB) fits in the 10.8 GB an RTX 5070 can use, with room for ≈ 15K tokens of context.

ollama run hf.co/EldanRing/Winnow-12B

Files and context on RTX 5070

Each file of Winnow-12B (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

Winnow-12B on other hardware

Popular models that run on RTX 5070

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.