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In general, quadratic forms are not determined by itstheir Stiefel-Whitney invariants, see Scharlau, Winfried: Quadratische Formen und Galois-Cohomologie. In: Invent. Math., 4 (1967), 238–264, p. 251 f.

However, if $\dim{q} \leq 3$, $q$ is determined by dimension, discriminant and Hasse invariant, see Lam, Tsit-Yuen: Introduction to Quadratic Forms Over Fields. Graduate Studies in Mathematics 67, American Mathematical Society 2005, p. 120, Theorem 3.21.

In general, quadratic forms are not determined by its Stiefel-Whitney invariants, see Scharlau, Winfried: Quadratische Formen und Galois-Cohomologie. In: Invent. Math., 4 (1967), 238–264, p. 251 f.

However, if $\dim{q} \leq 3$, $q$ is determined by dimension, discriminant and Hasse invariant, see Lam, Tsit-Yuen: Introduction to Quadratic Forms Over Fields. Graduate Studies in Mathematics 67, American Mathematical Society 2005, p. 120, Theorem 3.21.

In general, quadratic forms are not determined by their Stiefel-Whitney invariants, see Scharlau, Winfried: Quadratische Formen und Galois-Cohomologie. In: Invent. Math., 4 (1967), 238–264, p. 251 f.

However, if $\dim{q} \leq 3$, $q$ is determined by dimension, discriminant and Hasse invariant, see Lam, Tsit-Yuen: Introduction to Quadratic Forms Over Fields. Graduate Studies in Mathematics 67, American Mathematical Society 2005, p. 120, Theorem 3.21.

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user19475
user19475

In general, quadratic forms are not determined by its Stiefel-Whitney invariants, see Scharlau, Winfried: Quadratische Formen und Galois-Cohomologie. In: Invent. Math., 4 (1967), 238–264, p. 251 f.

However, if $\dim{q} \leq 3$, $q$ is determined by dimension, discriminant and Hasse invariant, see Lam, Tsit-Yuen: Introduction to Quadratic Forms Over Fields. Graduate Studies in Mathematics 67, American Mathematical Society 2005, p. 120, Theorem 3.21.