# 26 | Novelty Search Log

## Exact searches

Search:

```text
"696b1"
"696.e1"
"y^2=x^3+x^2+8x-16"
"x^3+x^2+8x-16" BSD
"696b1" Fouquet Wan
```

Did not find a corresponding BSD quadratic-twist family on arXiv.

## Broader searches

Search:

```text
non-semistable full BSD quadratic twist family
Fouquet-Wan quadratic twists BSD
arbitrary reduction BSD elliptic curve twist
```

Found:

- semistable / special named-curve families;
- modulo-p or modulo-squares results;
- supersingular/full-BSD families;
- Banwait–Huang semistable algorithmic families;

However, this round did not locate a clearly published theorem directly listing or obviously containing the same positive-density prime family for `696.e1`.

## Correct epistemic status

$$
\boxed{
\text{NO HIT}\neq\text{NOVELTY PROOF}.
}
$$

Before formally claiming priority or a new theorem, one should still:

1. Perform MathSciNet / zbMATH / Google Scholar citation chaining;
2. Search for papers citing Fouquet–Wan;
3. Ask a number theorist referee to check whether it is a direct corollary of a general theorem;
4. Check the latest preprints from 2026.