Philadelphia itself is translated 'Brotherly Love' in the Greek. If you read the following account by John Wesley you will find the love topic over and over...
Global Ministries - The Character of a Methodist by John Wesley
5. "What then is the mark? Who is a Methodist, according to your own account?" I answer: A Methodist is one who has "the love of God shed abroad in his heart by the Holy Ghost given unto him;" one who "loves the Lord his God with all his heart, and with all his soul, and with all his mind, and with all his strength. God is the joy of his heart, and the desire of his soul; which is constantly crying out, "Whom have I in heaven but thee? and there is none upon earth that I desire beside thee! My God and my all! Thou art the strength of my heart, and my portion for ever!"
9. And while he thus always exercises his love to God, by praying without ceasing, rejoicing evermore, and in everything giving thanks, this commandment is written in his heart, "That he who loveth God, love his brother also." And he accordingly loves his neighbour as himself; he loves every man as his own soul. His heart is full of love to all mankind, to every child of "the Father of the spirits of all flesh." That a man is not personally known to him, is no bar to his love; no, nor that he is known to be such as he approves not, that he repays hatred for his good-will. For he "loves his enemies;" yea, and the enemies of God, "the evil and the unthankful." And if it be not in his power to "do good to them that hate him," yet he ceases not to pray for them, though they continue to spurn his love, and still "despitefully use him and persecute him."
10. For he is "pure in heart." The love of God has purified his heart from all revengeful passions, from envy, malice, and wrath, from every unkind temper or malign affection. It hath cleansed him from pride and haughtiness of spirit, whereof alone cometh contention. And he hath now "put on bowels of mercies, kindness, humbleness of mind, meekness, longsuffering:" So that he "forbears and forgives, if he had a quarrel against any; even as God in Christ hath forgiven him." And indeed all possible ground for contention, on his part, is utterly cut off. For none can take from him what he desires; seeing he "loves not the world, nor" any of "the things of the world;" being now "crucified to the world, and the world crucified to him;" being dead to all that is in the world, both to "the lust of the flesh, the lust of the eye, and the pride of life." For "all his desire is unto God, and to the remembrance of his name."
16. Lastly. As he has time, he "does good unto all men;" unto neighbours and strangers, friends and enemies: And that in every possible kind; not only to their bodies, by "feeding the hungry, clothing the naked, visiting those that are sick or in prison;" but much more does he labour to do good to their souls, as of the ability which God giveth; to awaken those that sleep in death; to bring those who are awakened to the atoning blood, that, "being justified by faith, they may have peace with God;" and to provoke those who have peace with God to abound more in love and in good works. And he is willing to "spend and be spent herein," even "to be offered up on the sacrifice and service of their faith," so they may "all come unto the measure of the stature of the fulness of Christ."
17. These are the principles and practices of our sect; these are the marks of a true Methodist. By these alone do those who are in derision so called, desire to be distinguished from other men. If any man say, "Why, these are only the common fundamental principles of Christianity!" thou hast said; so I mean; this is the very truth; I know they are no other; and I would to God both thou and all men knew, that I, and all who follow my judgment, do vehemently refuse to be distinguished from other men, by any but the common principles of Christianity, -- the plain, old Christianity that I teach, renouncing and detesting all other marks of distinction. And whosoever is what I preach, (let him be called what he will, for names change not the nature of things,) he is a Christian, not in name only, but in heart and in life. He is inwardly and outwardly conformed to the will of God, as revealed in the written word. He thinks, speaks, and lives, according to the method laid down in the revelation of Jesus Christ. His soul is renewed after the image of God, in righteousness and in all true holiness. And having the mind that was in Christ, he so walks as Christ also walked.