Did you make the card in the shop? At that time, did you register in CLUB animate? (Were the mail address etc. registered?)
In that case, it is as kero-kero replied.
https://www.club-animate.jp/
If your card has registered correctly, login can be done in the following way.
1) Because there is a blank written "ログイン" and "メールアドレス" on the right side of the page top, enter the mail address that you registered.
2) In the blank that says "パスワード", enter the password that you have registered.
3) Click the part that says "ログイン".
[notes]
ログイン : login
メールアドレス : mail address
パスワード : password
If you are uneasy, you may access the subsequent page.
https://www.club-animate.jp/registrations
1) There is a blank space at the right of the place written, "カード(店舗)番号". (Part of slightly below the middle of the page.)
2) You should input the number of the owned card there. Part that is shown, "こちらの番号を入力してください" in the guide, and enclosed with a red frame.
3) Click the part that says "次へ". (The last part on page.)
4) If it is displayed as "ご登録は完了しておりますので、CLUB animateがご利用いただけます。トップページよりログインを行なってください。[e99001]", no problem.