How to verify data against signature with public key that uses sha1ecdsa?

Question

Knowing little about cryptography I have great problems with what seems to be a simple task.

I have .pem certificate, bytes of data, and signature of that data. I want to check if someone changed the data by matching it against signature.

My try:

private bool VerifySignature(byte[] data, byte[] signature)
{
  try
  {
    X509Certificate certificate = new X509Certificate("cert_filename.pem");
    if (certificate == null)
      return false;

    DSACryptoServiceProvider dsa = (DSACryptoServiceProvider)certificate.PublicKey.Key;

    return dsa.VerifyData(data, signatureData);
  }
  catch
  {
    return false;
  }
}

But it gives me an error

'Algorithm of certificates key is not supported' (System.NotSupportedException).

Looking into loaded certificate it says that the signature algorithm is 'sha1ecdsa'.

I am trying only to verify data against signature. What am I missing here? I would like to do it without any external solutions as it seems to be really trivial task.

Update: I am trying to achieve same functionality as in below Java code:

private boolean verify(byte[] data, byte[] signature)
{
  boolean isLicenseCorrect = false;

  Signature sig = Signature.getInstance("SHA1WithECDSA");
  sig.initVerify(certificate.getPublicKey());
  sig.update(data);

  return sig.verify(signature);
}

Answer 1

Although DSA and ECDSA are related, they are not the same. Why not try ECDsaCryptoServiceProvider? Note that the ECDSA support for Elliptic Curves only includes NIST named curves.