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ec_curvedata • Show schema
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{'Ciso': '330330br', 'Clabel': '330330br2', 'Cnumber': 2, 'abc_quality': 0.9964346649141276, 'absD': 1478376991262035224360000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 24024, 'ainvs': [1, 0, 1, -1473801904, -21777482108098], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 330330, 'degree': 185794560, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8467435785119717437325276388', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [199841159336796255944706769, 834505270358760000], 'lmfdb_iso': '330330.br', 'lmfdb_label': '330330.br6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12180181, 16360637345], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '33.8.0-3.a.1.2', '44.12.0-2.a.1.1', '52.12.0-2.a.1.1', '66.48.0-6.a.1.1', '132.96.0.?', '156.96.0.?', '168.96.1.?', '572.24.0.?', '1716.192.1.?', '1848.192.1.?', '2184.192.1.?', '24024.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.449138097380164788499577052', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6477959421127864717015558498', 'prec': 100}, 'szpiro_ratio': 5.897689369258081, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 0, 1, -1, 1, -1, 1, 6, -1, 4, -1], 'aplist': [-1, 1, -1, -1, 0, -1, 6, 4, 0, -6, -4, 2, 6, -8, 0, 6, 0, 10, 8, -12, -2, -8, 12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 330330, 'isogeny_matrix': [[1, 3, 4, 2, 12, 6, 12, 4], [3, 1, 12, 6, 4, 2, 4, 12], [4, 12, 1, 2, 3, 6, 12, 4], [2, 6, 2, 1, 6, 3, 6, 2], [12, 4, 3, 6, 1, 2, 4, 12], [6, 2, 6, 3, 2, 1, 2, 6], [12, 4, 12, 6, 4, 2, 1, 3], [4, 12, 4, 2, 12, 6, 3, 1]], 'lmfdb_iso': '330330.br', 'trace_hash': 2011049584779570067}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00045578599992089617554628529419', 'prec': 113}, 'conductor': 330330, 'gens': [[1149676, 1231445474, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '11.449138097380164788499577052', 'prec': 100}], 'lmfdb_label': '330330.br6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.024366316732672256207086074750', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6953598047248730112644148822930453294', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-22199, 11099, 1], [44329, -22165, 1]], 'xcoord_integral_points': [-22199, 44329, 1149676]}
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lmfdb_label 330330.br6 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13849794
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 6]}
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id: 13849796
{'degree': 4, 'field': [36, 0, 1, 0, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 4]}
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id: 13849797
{'degree': 4, 'field': [1983, 78, -77, -2, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 12]}
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id: 13849795
{'degree': 4, 'field': [210219, 930, -929, -2, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 4]}
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id: 13849798
{'degree': 6, 'field': [-24954, 897, -899, 3, 1, -3, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 6]}
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id: 13849799
{'degree': 8, 'field': [36, -156, 326, -366, 249, -82, 32, -4, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 12]}
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id: 13849800
{'degree': 8, 'field': [3392964, 0, 281748, 0, 10573, 0, 166, 0, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 12]}
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id: 13849801
{'degree': 12, 'field': [622702116, -22383738, -21629037, -656679, 830464, 70371, -46309, -4494, 909, -9, 8, -3, 1], 'lmfdb_label': '330330.br6', 'torsion': [6, 6]}
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id: 13849803
{'degree': 16, 'field': [-2253086457061725, 9414492503570640, -8751009216324924, -1329483166236792, 671058874476984, -7653008782104, 2671391725968, -103104731160, 25670387485, 68532904, -11724020, -1062656, 161518, 7168, -1004, -8, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 8]}
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id: 13849804
{'degree': 16, 'field': [13031592336, 0, 103121136, 0, -179874680, 0, -74665636, 0, 7154769, 0, 343504, 0, 10470, 0, 116, 0, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 8]}
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id: 13849802
{'degree': 16, 'field': [27049065156, 0, 1255319208, 0, 1283349168, 0, 5267484, 0, -787355, 0, 1328, 0, 1914, 0, -4, 0, 1], 'lmfdb_label': '330330.br6', 'torsion': [4, 12]}
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id: 13849805
{'degree': 16, 'field': [14394910753575, -7280367058800, 8716391693460, -2975098036680, 1748521975116, -322602006552, 123413112480, -13921824360, 3871955641, -264977000, 56987476, -2196320, 381766, -7280, 1060, -8, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 24]}
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id: 13849806
{'degree': 18, 'field': [9356542217307098631, -2500664321758628907, 844971761452098411, -132790311462395826, 13161752591655366, 60787186377480, -507945877452, -1910216944116, -249983927973, 154410727329, 6712626465, -952478892, -33860352, 7878888, 569430, 794, -699, -3, 1], 'lmfdb_label': '330330.br6', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 8173680
{'conductor': 330330, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '330330.br6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8173681
{'conductor': 330330, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '330330.br6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 8173682
{'conductor': 330330, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '330330.br6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8173683
{'conductor': 330330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '330330.br6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8173684
{'conductor': 330330, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '330330.br6', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8173685
{'conductor': 330330, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '330330.br6', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3730827
{'adelic_gens': [[16017, 4, 4006, 9], [3433, 12, 20598, 73], [9, 4, 24008, 24017], [18025, 12, 144, 247], [12013, 12, 6, 73], [12937, 6, 0, 1], [1, 0, 12, 1], [24013, 12, 24012, 13], [1, 12, 0, 1], [19655, 24018, 0, 24023]], 'adelic_image': '24024.384.5.?', 'conductor': 330330, 'lmfdb_label': '330330.br6', 'prime': 0}
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id: 1150085
{'conductor': 330330, 'elladic_image': '2.6.0.1', 'lmfdb_label': '330330.br6', 'modell_image': '2Cs', 'prime': 2}
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id: 1150086
{'conductor': 330330, 'elladic_image': '3.4.0.1', 'lmfdb_label': '330330.br6', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 330330.br does not appear in ec_padic