{"Ciso": "4160b", "Clabel": "4160b3", "Cnumber": 3, "abc_quality": 0.9543225417743602, "absD": 11795053936640, "adelic_genus": 9, "adelic_index": 384, "adelic_level": 1560, "ainvs": [0, -1, 0, -13281, -561055], "analytic_rank": 1, "bad_primes": [2, 5, 13], "class_deg": 6, "class_size": 4, "cm": 0, "conductor": 4160, "degree": 13824, "elladic_images": ["8.12.0.22", "3.4.0.1"], "faltings_height": {"__RealLiteral__": 0, "data": "1.2701701733175815497156846269", "prec": 100}, "faltings_index": 2, "faltings_ratio": 3, "iso_nlabel": 14, "isogeny_degrees": [1, 2, 3, 6], "jinv": [988345570681, 44994560], "lmfdb_iso": "4160.o", "lmfdb_label": "4160.o1", "lmfdb_number": 1, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 1, -208, -1122], "min_quad_twist_disc": 8, "modell_images": ["2B", "3B"], "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.b.1", "6.12.0.a.1", "8.12.0-4.b.1.2", "12.24.0.f.1", "24.96.0-24.br.2.1", "130.6.0.?", "260.24.0.?", "390.24.0.?", "520.48.0.?", "780.96.3.?", "1560.384.9.?"], "nonmax_primes": [2, 3], "nonmax_rad": 6, "num_bad_primes": 3, "num_int_pts": 1, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "9.8672147467182018945676079254", "prec": 100}, "semistable": false, "serre_invariants": [[2, 2, 65], [3, 2, 320], [5, 6, 832], [13, 14, 320]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.23044940247766358558983644471", "prec": 103}, "szpiro_ratio": 4.811550062797546, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4160b", "Clabel": "4160b1", "Cnumber": 1, "abc_quality": 0.906187683689355, "absD": 6815744000, "adelic_genus": 9, "adelic_index": 384, "adelic_level": 1560, "ainvs": [0, -1, 0, -2081, 37025], "analytic_rank": 1, "bad_primes": [2, 5, 13], "class_deg": 6, "class_size": 4, "cm": 0, "conductor": 4160, "degree": 4608, "elladic_images": ["8.12.0.22", "3.4.0.1"], "faltings_height": {"__RealLiteral__": 0, "data": "0.72086402898352670401806200841", "prec": 103}, "faltings_index": 0, "faltings_ratio": 1, "iso_nlabel": 14, "isogeny_degrees": [1, 2, 3, 6], "jinv": [3803721481, 26000], "lmfdb_iso": "4160.o", "lmfdb_label": "4160.o2", "lmfdb_number": 2, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 1, -33, 68], "min_quad_twist_disc": 8, "modell_images": ["2B", "3B"], "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.b.1", "6.12.0.a.1", "8.12.0-4.b.1.2", "12.24.0.f.1", "24.96.0-24.br.1.1", "130.6.0.?", "260.24.0.?", "390.24.0.?", "520.48.0.?", "780.96.3.?", "1560.384.9.?"], "nonmax_primes": [2, 3], "nonmax_rad": 6, "num_bad_primes": 3, "num_int_pts": 3, "optimality": 1, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "3.2890715822394006315225359751", "prec": 100}, "semistable": false, "serre_invariants": [[2, 2, 65], [3, 2, 832], [5, 6, 832], [13, 14, 320]], "sha": 1, "sha_primes": [], "signD": 1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.31885674185639126010778617378", "prec": 107}, "szpiro_ratio": 4.144338722688171, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4160b", "Clabel": "4160b2", "Cnumber": 2, "abc_quality": 0.9774623648888189, "absD": 2768896000000, "adelic_genus": 9, "adelic_index": 384, "adelic_level": 1560, "ainvs": [0, -1, 0, -801, 80801], "analytic_rank": 1, "bad_primes": [2, 5, 13], "class_deg": 6, "class_size": 4, "cm": 0, "conductor": 4160, "degree": 9216, "elladic_images": ["8.12.0.37", "3.4.0.1"], "faltings_height": {"__RealLiteral__": 0, "data": "1.0674376192634993587266780691", "prec": 100}, "faltings_index": 1, "faltings_ratio": 2, "iso_nlabel": 14, "isogeny_degrees": [1, 2, 3, 6], "jinv": [-217081801, 10562500], "lmfdb_iso": "4160.o", "lmfdb_label": "4160.o3", "lmfdb_number": 3, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 1, -13, 156], "min_quad_twist_disc": 8, "modell_images": ["2B", "3B"], "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.a.1", "6.12.0.a.1", "8.12.0-4.a.1.1", "12.48.0.b.1", "24.96.0-12.b.1.4", "260.12.0.?", "520.48.0.?", "780.96.3.?", "1560.384.9.?"], "nonmax_primes": [2, 3], "nonmax_rad": 6, "num_bad_primes": 3, "num_int_pts": 3, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "1.6445357911197003157612679876", "prec": 100}, "semistable": false, "serre_invariants": [[2, 2, 1], [3, 2, 832], [5, 6, 832], [13, 14, 320]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.027716848423581394600829886913", "prec": 107}, "szpiro_ratio": 4.333954334374672, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]} {"Ciso": "4160b", "Clabel": "4160b4", "Cnumber": 4, "abc_quality": 1.0187728994158647, "absD": 2024510429593600, "adelic_genus": 9, "adelic_index": 384, "adelic_level": 1560, "ainvs": [0, -1, 0, 7199, -2154399], "analytic_rank": 1, "bad_primes": [2, 5, 13], "class_deg": 6, "class_size": 4, "cm": 0, "conductor": 4160, "degree": 27648, "elladic_images": ["8.12.0.37", "3.4.0.1"], "faltings_height": {"__RealLiteral__": 0, "data": "1.6167437635975542044243006876", "prec": 100}, "faltings_index": 3, "faltings_ratio": 6, "iso_nlabel": 14, "isogeny_degrees": [1, 2, 3, 6], "jinv": [157376536199, 7722894400], "lmfdb_iso": "4160.o", "lmfdb_label": "4160.o4", "lmfdb_number": 4, "manin_constant": 1, "min_quad_twist_ainvs": [1, 0, 1, 112, -4194], "min_quad_twist_disc": 8, "modell_images": ["2B", "3B"], "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.a.1", "6.12.0.a.1", "8.12.0-4.a.1.1", "12.48.0.b.2", "24.96.0-12.b.2.6", "260.12.0.?", "520.48.0.?", "780.96.3.?", "1560.384.9.?"], "nonmax_primes": [2, 3], "nonmax_rad": 6, "num_bad_primes": 3, "num_int_pts": 1, "optimality": 0, "potential_good_reduction": false, "rank": 1, "regulator": {"__RealLiteral__": 0, "data": "4.9336073733591009472838039627", "prec": 100}, "semistable": false, "serre_invariants": [[2, 2, 1], [3, 2, 320], [5, 6, 832], [13, 14, 320]], "sha": 1, "sha_primes": [], "signD": -1, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.57702299275763624029845250541", "prec": 103}, "szpiro_ratio": 5.122474080145955, "torsion": 2, "torsion_primes": [2], "torsion_structure": [2]}