Unable to make git with https support

I'm trying to make git for myself, but can't seem to get https
working. This is what I did to make it:

wget http://git-core.googlecode.com/files/git-1.7.9.3.tar.gz
tar -xf git-1.7.9.3.tar.gz
cd git-1.7.9.3.tar.gz
./configure --with-curl --prefix=$HOME
make
make install

In a new shell

git clone https://github.com/git/git.git

Cloning into 'git'...
fatal: Unable to find remote helper for 'https'

But my machine does have curl, and that curl can access https urls

which curl

/usr/bin/curl

curl --version

curl 7.19.0 (x86_64-suse-linux-gnu) libcurl/7.19.0 OpenSSL/0.9.8h
zlib/1.2.3 libidn/1.10
Protocols: tftp ftp telnet dict ldap http file https ftps
Features: GSS-Negotiate IDN IPv6 Largefile NTLM SSL libz

curl https://github.com/git/git.git

<GitHub 404 page, no https error message>

Thanks, Nate