{"Clabel": "6720c7", "lmfdb_label": "6720.j1", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "36.144624722585375921914213557", "prec": 100}, "ainvs": [0, -1, 0, -122931201, -524574745599], "jinv": [783736670177727068275201, 360150], "min_quad_twist_ainvs": [1, 0, 0, -1920800, -1024800150], "iso_nlabel": 9, "Cnumber": 7, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 6, "faltings_ratio": 16, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 393216, "semistable": false, "potential_good_reduction": false, "absD": 94411161600, "faltings_height": {"__RealLiteral__": 0, "data": "2.8341501877354810110788864296", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.7944294168955630469530382474", "prec": 100}, "elladic_images": ["16.96.0.279"], "modell_images": ["2B"], "adelic_level": 3360, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.48.0-8.bb.2.2", "12.12.0-4.c.1.2", "16.96.0-16.v.2.4", "24.96.0-24.bl.2.1", "48.192.1-48.dq.1.6", "160.192.2.?", "224.192.1.?", "480.384.5.?", "560.192.2.?", "672.384.5.?", "1120.384.5.?", "1680.384.5.?", "3360.768.13.?"], "abc_quality": 1.074666741320478, "szpiro_ratio": 7.65870967709585} {"Clabel": "6720c5", "lmfdb_label": "6720.j2", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "18.072312361292687960957106778", "prec": 100}, "ainvs": [0, -1, 0, -7683201, -8194556799], "jinv": [191342053882402567201, 129708022500], "min_quad_twist_ainvs": [1, 0, 0, -120050, -16020000], "iso_nlabel": 9, "Cnumber": 5, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 4, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 196608, "semistable": false, "potential_good_reduction": false, "absD": 34002179850240000, "faltings_height": {"__RealLiteral__": 0, "data": "2.4875765974555083563702703689", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.4478558266155903922444221867", "prec": 100}, "elladic_images": ["8.96.0.153"], "modell_images": ["2Cs"], "adelic_level": 1680, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.96.0-8.l.1.6", "12.24.0-4.b.1.2", "24.192.1-24.ch.1.7", "80.192.2.?", "112.192.1.?", "240.384.5.?", "336.384.5.?", "560.384.5.?", "1680.768.13.?"], "abc_quality": 1.05504045380176, "szpiro_ratio": 6.714886523832148} {"Clabel": "6720c8", "lmfdb_label": "6720.j3", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "36.144624722585375921914213557", "prec": 100}, "ainvs": [0, -1, 0, -7635201, -8302047999], "jinv": [-187778242790732059201, 4984939585440150], "min_quad_twist_ainvs": [1, 0, 0, -119300, -16229850], "iso_nlabel": 9, "Cnumber": 8, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 7, "faltings_ratio": 16, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 393216, "semistable": false, "potential_good_reduction": false, "absD": 1306772002685622681600, "faltings_height": {"__RealLiteral__": 0, "data": "2.8341501877354810110788864296", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.7944294168955630469530382474", "prec": 100}, "elladic_images": ["16.96.0.279"], "modell_images": ["2B"], "adelic_level": 3360, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.48.0-8.bb.2.2", "12.12.0-4.c.1.1", "16.96.0-16.v.2.4", "24.96.0-24.bp.2.1", "48.192.1-48.eg.1.8", "80.192.2.?", "224.192.1.?", "240.384.5.?", "672.384.5.?", "1120.384.5.?", "3360.768.13.?"], "abc_quality": 1.0554678196515268, "szpiro_ratio": 6.717842560635323} {"Clabel": "6720c4", "lmfdb_label": "6720.j4", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "2.2590390451615859951196383473", "prec": 100}, "ainvs": [0, -1, 0, -964481, 364797825], "jinv": [378499465220294881, 120530818800], "min_quad_twist_ainvs": [1, 0, 0, -15070, 710612], "iso_nlabel": 9, "Cnumber": 4, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 2, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 98304, "semistable": false, "potential_good_reduction": false, "absD": 31596430963507200, "faltings_height": {"__RealLiteral__": 0, "data": "2.1410030071755357016616543081", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.1012822363356177375358061259", "prec": 100}, "elladic_images": ["16.96.0.253"], "modell_images": ["2B"], "adelic_level": 3360, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.48.0-8.bb.1.7", "16.96.0-16.v.1.11", "28.12.0.h.1", "56.96.0-56.bl.2.2", "80.192.2.?", "96.192.1.?", "112.192.1.?", "480.384.5.?", "560.384.5.?", "672.384.5.?", "3360.768.13.?"], "abc_quality": 1.0358020223701003, "szpiro_ratio": 6.008462615321994} {"Clabel": "6720c3", "lmfdb_label": "6720.j5", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "9.0361561806463439804785533892", "prec": 100}, "ainvs": [0, -1, 0, -483201, -126236799], "jinv": [47595748626367201, 1215506250000], "min_quad_twist_ainvs": [1, 0, 0, -7550, -247500], "iso_nlabel": 9, "Cnumber": 3, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 98304, "semistable": false, "potential_good_reduction": false, "absD": 318637670400000000, "faltings_height": {"__RealLiteral__": 0, "data": "2.1410030071755357016616543081", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.1012822363356177375358061259", "prec": 100}, "elladic_images": ["8.96.0.88"], "modell_images": ["2Cs"], "adelic_level": 1680, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.24.0.b.1", "8.96.0-8.c.1.9", "24.192.1-24.w.2.8", "56.192.1-56.x.1.4", "80.192.2.?", "168.384.5.?", "240.384.5.?", "560.384.5.?", "1680.768.13.?"], "abc_quality": 1.0288195344460926, "szpiro_ratio": 5.773184270375805} {"Clabel": "6720c2", "lmfdb_label": "6720.j6", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "4.5180780903231719902392766946", "prec": 100}, "ainvs": [0, -1, 0, -68481, 4068225], "jinv": [135487869158881, 51438240000], "min_quad_twist_ainvs": [1, 0, 0, -1070, 7812], "iso_nlabel": 9, "Cnumber": 2, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 7, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 49152, "semistable": false, "potential_good_reduction": false, "absD": 13484225986560000, "faltings_height": {"__RealLiteral__": 0, "data": "1.7944294168955630469530382474", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.75470864605564508282719006521", "prec": 103}, "elladic_images": ["8.96.0.130"], "modell_images": ["2Cs"], "adelic_level": 1680, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.96.0-8.l.2.3", "28.24.0.c.1", "48.192.1-48.f.2.6", "56.192.1-56.cd.2.7", "80.192.2.?", "240.384.5.?", "336.384.5.?", "560.384.5.?", "1680.768.13.?"], "abc_quality": 1.0190986885579905, "szpiro_ratio": 5.108062206643652} {"Clabel": "6720c1", "lmfdb_label": "6720.j7", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "2.2590390451615859951196383473", "prec": 100}, "ainvs": [0, -1, 0, 13439, 447361], "jinv": [1023887723039, 928972800], "min_quad_twist_ainvs": [1, 0, 0, 210, 900], "iso_nlabel": 9, "Cnumber": 1, "lmfdb_number": 7, "cm": 0, "num_bad_primes": 4, "optimality": 1, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 24576, "semistable": false, "potential_good_reduction": false, "absD": 243524645683200, "faltings_height": {"__RealLiteral__": 0, "data": "1.4478558266155903922444221867", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.40813505577567242811857400451", "prec": 103}, "elladic_images": ["16.96.0.253"], "modell_images": ["2B"], "adelic_level": 3360, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.48.0-8.bb.1.7", "14.6.0.b.1", "16.96.0-16.v.1.11", "28.12.0.g.1", "56.96.0-56.bh.2.4", "96.192.1.?", "112.192.1.?", "160.192.2.?", "240.192.2.?", "480.384.5.?", "672.384.5.?", "1120.384.5.?", "1680.384.5.?", "3360.768.13.?"], "abc_quality": 0.999810038071446, "szpiro_ratio": 4.553726336328127} {"Clabel": "6720c6", "lmfdb_label": "6720.j8", "Ciso": "6720c", "lmfdb_iso": "6720.j", "regulator": {"__RealLiteral__": 0, "data": "4.5180780903231719902392766946", "prec": 100}, "ainvs": [0, -1, 0, 81279, -404073855], "jinv": [226523624554079, 269165039062500], "min_quad_twist_ainvs": [1, 0, 0, 1270, -789048], "iso_nlabel": 9, "Cnumber": 6, "lmfdb_number": 8, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": 8, "faltings_index": 5, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 2, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 196608, "semistable": false, "potential_good_reduction": false, "absD": 70560000000000000000, "faltings_height": {"__RealLiteral__": 0, "data": "2.4875765974555083563702703689", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.4478558266155903922444221867", "prec": 100}, "elladic_images": ["16.96.0.188"], "modell_images": ["2B"], "adelic_level": 3360, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.12.0.d.1", "8.48.0-8.q.1.5", "16.96.0-16.j.1.10", "24.96.0-24.be.1.4", "48.192.1-48.bf.2.7", "56.96.0-56.bd.1.7", "84.24.0.?", "112.192.1.?", "160.192.2.?", "168.192.1.?", "336.384.5.?", "480.384.5.?", "1120.384.5.?", "3360.768.13.?"], "abc_quality": 1.1083142308531486, "szpiro_ratio": 6.031790794025678}