#include <bits/stdc++.h>
using namespace std;
vector<int> v[500010];
stack<int> st;
int d[500010], h[500010], fa[500010], from[500010], id[500010], dep[500010], t,
    n, m, tt, cnt;
bool bo[500010], vis[500010];
inline int rd() {
  int x = 0;
  char ch = getchar();
  for (; ch < '0' || ch > '9'; ch = getchar())
    ;
  for (; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0';
  return x;
}
inline void print(int x) {
  static char s[233];
  if (!x) {
    putchar('0');
    putchar(' ');
    return;
  }
  int tot = 0;
  for (; x; x /= 10) s[++tot] = x % 10 + '0';
  for (; tot; tot--) putchar(s[tot]);
  putchar(' ');
}
inline void output() {
  int tt = 0;
  for (int i = 1; i <= n; i++)
    if (!bo[i]) tt++;
  if (!tt || tt == n) {
    puts("No");
    return;
  }
  puts("Yes");
  print(tt);
  putchar('\n');
  for (int i = 1; i <= n; i++)
    if (!bo[i]) print(i);
  putchar('\n');
}
inline bool dfs1(int x, int rt) {
  st.push(x);
  vis[x] = true;
  if (d[x] % 3 == 1 && x != rt) return true;
  for (int t : v[x])
    if (!vis[t] && dfs1(t, rt)) return true;
  st.pop();
  return false;
}
inline bool dfs2(int x) {
  vis[x] = true;
  from[x] = cnt;
  for (int t : v[x])
    if (d[t] % 3 == 2) {
      if (vis[t] && t != fa[x]) {
        for (int i = x; i != t; i = fa[i]) h[++tt] = i;
        h[++tt] = t;
        return true;
      }
      if (!vis[t]) {
        fa[t] = x;
        dep[t] = dep[x] + 1;
        if (dfs2(t)) return true;
      }
    }
  return false;
}
inline void gao(int x, int y) {
  while (x != y) {
    if (dep[x] > dep[y])
      bo[x] = true, x = fa[x];
    else
      bo[y] = true, y = fa[y];
  }
  bo[x] = true;
}
inline bool cmp(const int &x, const int &y) { return d[x] % 3 < d[y] % 3; }
inline void work() {
  n = rd();
  m = rd();
  for (int i = 1; i <= n; i++) v[i].clear(), d[i] = bo[i] = 0;
  for (int i = 1; i <= m; i++) {
    int x = rd(), y = rd();
    d[x]++;
    d[y]++;
    v[x].push_back(y);
    v[y].push_back(x);
  }
  if (n == 1) {
    puts("No");
    return;
  }
  int res = 0;
  for (int i = 1; i <= n; i++)
    if (d[i] % 3 == 0) res = i;
  if (res) {
    bo[res] = true;
    output();
    return;
  }
  int s = 0;
  for (int i = 1; i <= n; i++)
    if (d[i] % 3 == 1) s++;
  for (int i = 1; i <= n; i++) sort(v[i].begin(), v[i].end(), cmp);
  if (s > 1) {
    for (int i = 1; i <= n; i++) vis[i] = false;
    while (!st.empty()) st.pop();
    for (int i = 1; i <= n; i++)
      if (d[i] % 3 == 1) {
        dfs1(i, i);
        break;
      }
    while (!st.empty()) bo[st.top()] = true, st.pop();
    output();
    return;
  }
  for (int i = 1; i <= n; i++) vis[i] = false, fa[i] = from[i] = dep[i] = 0;
  cnt = 0;
  for (int i = 1; i <= n; i++)
    if (d[i] % 3 == 2 && !vis[i]) {
      tt = 0;
      cnt++;
      dep[i] = 1;
      if (!dfs2(i)) continue;
      for (int j = 1; j <= tt; j++) bo[h[j]] = true;
      output();
      return;
    }
  for (int i = 1; i <= cnt; i++) id[i] = 0;
  res = 0;
  for (int i = 1; i <= n; i++)
    if (d[i] % 3 == 1) res = i;
  int tot = 0;
  bo[res] = true;
  for (int t : v[res]) {
    if (!id[from[t]])
      id[from[t]] = t;
    else if (id[from[t]] != -1) {
      tot++;
      gao(id[from[t]], t);
      id[from[t]] = -1;
      if (tot == 2) break;
    }
  }
  output();
}
int main() {
  t = rd();
  while (t--) work();
  return 0;
}
