I started learning to speak Greek the year Elvis and I were stationed in Germany. Not at the same base. And I studied both Biblical languages about 2 decades after that. Strong's has been found to have about 15,000 errors or omissions. I prefer BDAG which is the gold standard for Greek. The complete entry is more than 2 pages but I have listed the essential information. Unlike Strong's and Vine's, BDAG cites historical information to support their interpretation. FYI BDAG refers to Bauer, Danker, Arndt and Gingrich the four scholars who produced the BDAG.
πιστεύω (Trag.+) impf. ἐπίστευον; 1 aor. ἐπίστευσα; pf. πεπίστευκα; plpf. πεπιστεύκειν Ac 14:23 1J only once, 5:4. Our lit. uses it quite predominantly in a transcendent sense, or at least w. transcendent coloring).
① to consider someth. to be true and therefore worthy of one’s trust, believe
ⓐ believe (in) someth., be convinced of someth.,
1 Cor 13:7. 1J 4:16. πιστεύεις τοῦτο; J 11:26b. Cp. Ac 13:41 (Hab 1:5). 2 Th 1:10b
Lk 1:45 (ὅτι here may=for: s. ὅτι 4b).—Mk 11:23; cp. vs. 24; J 8:24 (ὅτι ἐγώ εἰμι as Is 43:10); 11:27, 42; 13:19; 14:10; 16:27, 30; 17:8, 21; 20:31a; Ac 9:26; Ro 6:8; 10:9; 1 Th 4:14; Hb 11:6; Js 2:19a; 1J 5:1, 5; Ac 8:37b.— Ac 15:11 Lk 1:20 (J 2:22. Cp. 4:50; 5:47ab. Ac 24:14 2 Th 2:11, 12. J 12:38; Ro 10:16; J 10:38b
Ro 4:18, 1J 5:10c. Mk 1:15 Lk 24:25; Ro 9:33 (Is 28:16).
ⓑ w. the pers. to whom one gives credence or whom one believes, Mk 16:14. Cp. Mt 21:25, 32abc; Mk 11:31; 16:13; Lk 20:5; J 5:46a; Ac 8:12; 26:27a (1J 4:1;: Mt 27:42 v.l.; J 5:38, 46b; 6:30; 8:45, 46; 10:37, 38a. God: J 5:24; Ro 4:3 (Gen 15:6), 17 Gal 3:6; Js 2:23; 1J 5:10b
ⓒ w. pers. and thing added π. τινί τι believe someone with regard to someth. J 14:11a. Cp. 4:21; Ac 27:25.
ⓓMt 24:23; cp. vs. 26; Mk 13:21; Lk 22:67; J 3:12ab; 10:25f; 12:47 v.l.; 14:29; 16:31; 19:35; 20:8, 25; cp. GJs 19:3. J 20:29ab Ac 4:4; 26:27b; 1 Cor 11:18 15:11; Js 2:19b Jd 5. Ro 10:10.
② to entrust oneself to an entity in complete confidence, believe (in), trust,
ⓐ given
Ac 16:34; 13:12 D; Tit 3:8;: Mt 27:42 v.l); J 6:30 (σοί=vs. 29 εἰς ὃν ἀπέστειλεν ἐκεῖνος); J 8:31 (αὐτῷ=vs. 30 5:14; 18:8a (both τῷ κυρίῳ); Ro 10:14b (οὗ οὐκ ἤκουσαν = τούτῳ [about equivalent to εἰς τοῦτον; cp. vs. 14a] οὗ οὐκ ἤκ.); 2 Ti 1:12; 1 Ti 3:16.— 1J 3:23.
β. w. εἰς (cp. Hippol., Elench. 6, 19, 7 W. οἱ εἰς τὸν Σίμωνα καὶ τὴν Ἑλένην πεπιστευκότες; Just., D. 35, 8 al.) God (BGU 874, 11 π. εἰς τὸν θεόν): J 12:44b; 14:1a (cp. ET 21, 1910, 53–57; 68–70; 138f); 1 Pt 1:21 v.l.=Pol 2:1.—Christ: Mt 18:6; Mk 9:42; J 2:11; 3:15 v.l., 16, 18a, 36; 4:39; 6:29, 35, 40, 47 v.l.; 7:5, 31, 38f, 48; 8:30; 9:35f; 10:42; 11:25, 26a, 45, 48; 12:11, 36 (εἰς τὸ φῶς), 37, 42, 44a, 46; 14:1b, 12; 16:9; 17:20; Ac 10:43; 14:23; 18:8 D; 19:4; Ro 10:14a; Gal 2:16; Phil 1:29; 1 Pt 1:8; 1J 5:10a; AcPlCor 2:31; Hs 8, 3, 2.—εἰς τὸ ὄνομα Ἰησοῦ (or αὐτοῦ, etc.) J 1:12; 2:23; 3:18c; 1J 5:13 Ac 11:17 D. Of Christ: Mt 27:42 v.l.; J 3:15 v.l.; Ro 9:33; 10:11; 1 Pt 2:6 (the last three Is 28:16); 1 Ti 1:16.
: Ac 16:34 D; Ro 4:5, 24; PtK 3 p. 15, 12. Of Christ: Mt 27:42; J 3:15 v.l.; Ac 9:42; 11:17; 16:31; 22:19. J 3:15, as in 3:16); in Eph 1:13 Mk 1:15
ⓑ not expressed at all (the abs. πιστεύειν in a transcendent sense: Mk 15:32; 16:16f; Lk 8:12f; J 1:7, 50; 3:15, 18b; 4:41f, 48, 53; 5:44; 6:36, 47, 64ab, perh. 69 (MEnslin, The Perf. Tense in the Fourth Gosp.: JBL 55, ’36, 121–31, esp. 128); 9:38; 10:26; 11:15, 40; 12:39; 20:31b; Ac 4:4; 8:13, 37a; 11:21; 13:12, 39, 48; 14:1; 15:5, 7; 17:12, 34; 18:8b, 27; 19:2; 21:25; Ro 1:16; 3:22; 4:11; 10:4; 13:11; 15:13; 1 Cor 1:21; 3:5; 15:2; Gal 3:22; Eph 1:13, 19; 1 Th 2:10, 13; Hb 4:3; 1 Pt 2:7; Ac 2:44; Ro 3:22; 1 Cor 14:22ab 1 Th 1:7;, Ac 2:44 v.l.; 4:32; 2 Th 1:10a; Ac 19:18; 21:20
ⓒ A special kind of this faith is the confidence that God or Christ is in a position to help suppliants out of their distress Mt 8:13 21:22. Cp. Mk 5:36; 9:23f; Lk 8:50; 2 Cor 4:13a (Ps Mt 9:28.—Mk 11:23.
③ entrust τινί τι someth. to someone (Lk 16:11. J 2:24 (Ro 3:2. Gal 2:7 1 Th 2:4; 1 Ti 1:11.—Tit 1:3. 1 Cor 9:17;④ be confident about, Ro 14:2
⑤ think/consider (possible), in Ro 14:2 perh. holds everything possible; cp. J 9:18 Ac 9:26. S. 4 above.—
Arndt, W., Danker, F. W., Bauer, W., & Gingrich, F. W. (2000). A Greek-English lexicon of the New Testament and other early Christian literature (3rd ed., pp. 816–818). Chicago: University of Chicago Press.