ICICI Bank site throws up blank page upon login in Firefox (all versions) and other browsers on my computer, but works normally on some other computers

Question

Till a few days back, ICICI net-banking site was opening up normally on both my systems (Windows XP SP3 and FreeBSD-10.1-i386). Since 18 December, the site throws up a blank page after the login credentials are entered. The site opens up normally on Firefox-34 on a computer system that belongs to a friend of mine. On my systems, reinstalling/upgrading Firefox does not help : I continue to get a blank page. The site URL is :
https://infinity.icicibank.co.in/BANKAWAY?Action.RetUser.Init.001=Y&AppSignonBankId=ICI&AppType=corporate&abrdPrf=N
Safe mode does not help. Even disabling all plug-ins and themes has no effect, just as clearing out cache and temporary files proved ineffective. Deleting profiles too did not help.
The site opens on FF-34 on my friend's computer (XP SP2) but does not open on FF (any version, including the same build as the one used on the friend's computer) or even Opera 26.0/Internet Explorer 8 on my system. IE gives the following diagnostics :
Webpage error details
User Agent: Mozilla/4.0 (compatible; MSIE 8.0; Windows NT 5.1; Trident/4.0; .NET CLR 2.0.50727; .NET CLR 3.0.04506.648; .NET CLR 3.5.21022; .NET4.0C; .NET4.0E; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729)
Timestamp: Tue, 23 Dec 2014 10:21:51 UTC
Message: 'jQuery' is undefined
Line: 42
Char: 1
Code: 0
URI: https://infinity.icicibank.com/corp/AuthenticationController?__START_TRAN_FLAG__=Y&FORMSGROUP_ID__=AuthenticationFG&__EVENT_ID__=LOAD&FG_BUTTONS__=LOAD&ACTION.LOAD=Y&AuthenticationFG.LOGIN_FLAG=1&BANK_ID=ICI&LANGUAGE_ID=001&REDIR=Y
Message: Object expected
Line: 1763
Char: 19
Code: 0
URI: https://infinity.icicibank.com/corp/AuthenticationController?__START_TRAN_FLAG__=Y&FORMSGROUP_ID__=AuthenticationFG&__EVENT_ID__=LOAD&FG_BUTTONS__=LOAD&ACTION.LOAD=Y&AuthenticationFG.LOGIN_FLAG=1&BANK_ID=ICI&LANGUAGE_ID=001&REDIR=Y
Message: 'RISKFORT_COOKIE' is undefined
Line: 1
Char: 1
Code: 0
URI: https://infinity.icicibank.com/corp/AuthenticationController?__START_TRAN_FLAG__=Y&FORMSGROUP_ID__=AuthenticationFG&__EVENT_ID__=LOAD&FG_BUTTONS__=LOAD&ACTION.LOAD=Y&AuthenticationFG.LOGIN_FLAG=1&BANK_ID=ICI&LANGUAGE_ID=001&REDIR=Y
Message: Invalid procedure call or argument
Line: 5
Char: 13
Code: 0
URI: https://infinity.icicibank.com/corp/AuthenticationController?__START_TRAN_FLAG__=Y&FORMSGROUP_ID__=AuthenticationFG&__EVENT_ID__=LOAD&FG_BUTTONS__=LOAD&ACTION.LOAD=Y&AuthenticationFG.LOGIN_FLAG=1&BANK_ID=ICI&LANGUAGE_ID=001&REDIR=Y

Answer 1

FF-33 on FreeBSD-10.1-i386 throws up the following information in its console :
ReferenceError: jQuery is not defined AuthenticationController:42
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "User Agent of the browser is : Mozilla/5.0 (X11; FreeBSD i386; rv:33.0) Gecko/20100101 Firefox/33.0", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "Encyrpting using JavaScript", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "Exception occurred in arcot document.getElementById(...) is null", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "Value for isAppletEncryptionRequired: undefined", 2 more… } NFEBALoginScripts.js:177
Arguments { 0: "In Add method adding the objects to array", 2 more… } NFEBALoginScripts.js:177
Use of getAttributeNode() is deprecated. Use getAttribute() instead. jquerymin.js:1
ReferenceError: RedrawAllTrees is not defined AuthenticationController:1763
Use of getPreventDefault() is deprecated. Use defaultPrevented instead. jquerymin.js:1