Use EnterEvent to capture the event when enter is clicked and using JavaScript postback which uses the id value of the button which ll take u to the cs page
<asp:textbox id="TextBox1" clientidmode="Static" runat="server" onkeypress="return EnterEvent(event)" xmlns:asp="#unknown">
<asp:button id="Button1" runat="server" style="display:none" text="Button" xmlns:asp="#unknown">
function EnterEvent(e) {
if (e.keyCode == 13) {
__doPostBack('<%=Button1.UniqueID%>', "");
}
}
protected void Button1_Click(object sender, EventArgs e)
{
}