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ec_curvedata • Show schema
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{'Ciso': '6762bm', 'Clabel': '6762bm1', 'Cnumber': 1, 'abc_quality': 0.9834149670758411, 'absD': 5733310464, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [1, 0, 0, -106, -3676], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6762, 'degree': 3744, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55253497229172950344111755505', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1], 'jinv': [-2689684081, 117006336], 'lmfdb_iso': '6762.bh', 'lmfdb_label': '6762.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -106, -3676], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.14356242002250719760696614033', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22821661411584395259022543114', 'prec': 103}, 'szpiro_ratio': 3.3946301162780417, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -1, 1, 0, 1, 1, -1, -3, 1, -2, 0, -1, 1, 2, 1, 2, -1], 'aplist': [1, 1, -1, 0, -3, -2, 2, 2, 1, -7, -7, -2, 2, -6, -6, -9, 9, -6, 10, -8, 10, -15, -1, 0, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 6762, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6762.bh', 'trace_hash': 2292621296758125434}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.33118771664494895057907477681', 'prec': 103}, 'conductor': 6762, 'gens': [[68, 518, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.14356242002250719760696614033', 'prec': 103}], 'lmfdb_label': '6762.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59068357357945597643926168417', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6143971366675327456363601414578576432', 'prec': 130}, 'tamagawa_product': 78, 'torsion_generators': [], 'xcoord_integral_points': [20, 22, 68, 92, 3380]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [2, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6762.bh1'}
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ec_torsion_growth • Show schema
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id: 355570
{'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '6762.bh1', 'torsion': [2]}
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id: 355571
{'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '6762.bh1', 'torsion': [2, 2]}
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id: 355572
{'degree': 8, 'field': [-1188, 1080, -180, -195, 18, 9, 1, -4, 1], 'lmfdb_label': '6762.bh1', 'torsion': [3]}
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id: 355573
{'degree': 12, 'field': [-22126, 31170, -29401, -48388, 27957, 8164, -13818, 5688, -1460, 178, -9, -4, 1], 'lmfdb_label': '6762.bh1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 137747
{'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '6762.bh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
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id: 137748
{'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6762.bh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 137749
{'conductor': 6762, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '6762.bh1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 137750
{'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6762.bh1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 6762, 'lmfdb_label': '6762.bh1', 'prime': 0}
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ec_padic • Show schema
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id: 269678
{'lmfdb_iso': '6762.bh', 'p': 5, 'prec': 20, 'unit': 2696197289389, 'val': 1}
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id: 269677
{'lmfdb_iso': '6762.bh', 'p': 11, 'prec': 20, 'unit': 37535931198010371300, 'val': 1}
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id: 269684
{'lmfdb_iso': '6762.bh', 'p': 13, 'prec': 20, 'unit': 563472728268858874561, 'val': 0}
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id: 269686
{'lmfdb_iso': '6762.bh', 'p': 17, 'prec': 20, 'unit': 202418999536575940464412, 'val': 1}
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id: 269687
{'lmfdb_iso': '6762.bh', 'p': 19, 'prec': 20, 'unit': 1206636103659251660228117, 'val': 1}
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id: 269683
{'lmfdb_iso': '6762.bh', 'p': 29, 'prec': 20, 'unit': 2749820806560287978974494854, 'val': 1}
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id: 269680
{'lmfdb_iso': '6762.bh', 'p': 31, 'prec': 20, 'unit': 9392934284095424824118458686, 'val': 1}
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id: 269694
{'lmfdb_iso': '6762.bh', 'p': 37, 'prec': 20, 'unit': 329498537017464368074258319773, 'val': 1}
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id: 269681
{'lmfdb_iso': '6762.bh', 'p': 41, 'prec': 20, 'unit': 182498691077179054510667186519, 'val': 1}
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id: 269682
{'lmfdb_iso': '6762.bh', 'p': 43, 'prec': 20, 'unit': 4482612731835733562908054125354, 'val': 1}
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id: 269692
{'lmfdb_iso': '6762.bh', 'p': 47, 'prec': 20, 'unit': 26349935472133228653958121611833, 'val': 1}
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id: 269688
{'lmfdb_iso': '6762.bh', 'p': 53, 'prec': 20, 'unit': 242435153603205767006037876523173, 'val': 1}
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id: 269689
{'lmfdb_iso': '6762.bh', 'p': 59, 'prec': 20, 'unit': 2193379614400641139787865205333815, 'val': 1}
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id: 269693
{'lmfdb_iso': '6762.bh', 'p': 61, 'prec': 20, 'unit': 6546563906032132223162092750880797, 'val': 1}
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id: 269676
{'lmfdb_iso': '6762.bh', 'p': 67, 'prec': 20, 'unit': 44671122418650420158249248770680010, 'val': 1}
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id: 269679
{'lmfdb_iso': '6762.bh', 'p': 71, 'prec': 20, 'unit': 131067372220649332867044053376711767, 'val': 1}
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id: 269690
{'lmfdb_iso': '6762.bh', 'p': 73, 'prec': 20, 'unit': 150605005265158447117363544144891299, 'val': 1}
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id: 269685
{'lmfdb_iso': '6762.bh', 'p': 79, 'prec': 20, 'unit': 913786802585371210279889243506719943, 'val': 1}
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id: 269691
{'lmfdb_iso': '6762.bh', 'p': 83, 'prec': 20, 'unit': 1475036055085443802924190901607668825, 'val': 1}
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id: 269675
{'lmfdb_iso': '6762.bh', 'p': 97, 'prec': 20, 'unit': 2271827360282912213998546814313746961, 'val': 1}