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ec_curvedata • Show schema
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{'Ciso': '11376n', 'Clabel': '11376n1', 'Cnumber': 1, 'abc_quality': 0.9093660135499924, 'absD': 943570944, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2844, 'ainvs': [0, 0, 0, -6699, 211034], 'analytic_rank': 1, 'bad_primes': [2, 3, 79], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 11376, 'degree': 9600, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82369910560767577819282981537', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3, 9], 'jinv': [11134383337, 316], 'lmfdb_iso': '11376.d', 'lmfdb_label': '11376.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -47, 118], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.2', '36.24.0-9.a.1.1', '316.2.0.?', '474.8.0.?', '711.36.0.?', '948.16.0.?', '1422.72.0.?', '2844.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3383480475041083562064000475', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 711], [3, 2, 1264], [79, 80, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41875421928632437692202492455', 'prec': 107}, 'szpiro_ratio': 4.073421123460755, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, -3, 1, 0, 5, 0, -2, -6, 0, 4, 2, 12, -8, -9, -6, -9, 8, 4, -9, 2, -1, 18, -9, 17], 'class_deg': 9, 'class_size': 3, 'conductor': 11376, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '11376.d', 'trace_hash': 191644150670980128}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.19255023250539518186412484157', 'prec': 103}, 'conductor': 11376, 'gens': [[47, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3383480475041083562064000475', 'prec': 100}], 'lmfdb_label': '11376.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4595071904097485089493534543', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9066571972061876346848177160071481015', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [47, 230]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11376.d3'}
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ec_torsion_growth • Show schema
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id: 588390
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [3]}
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id: 588391
{'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '11376.d3', 'torsion': [2]}
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id: 588395
{'degree': 6, 'field': [-2, 22, 31, -4, -11, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [6]}
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id: 588392
{'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '11376.d3', 'torsion': [2, 2]}
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id: 588394
{'degree': 6, 'field': [349, 1220, 779, -18, -60, -2, 1], 'lmfdb_label': '11376.d3', 'torsion': [9]}
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id: 588393
{'degree': 6, 'field': [12482, 0, 0, -158, 0, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [3]}
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id: 588399
{'degree': 12, 'field': [1, 0, -79, 0, 526, 0, -551, 0, 202, 0, -27, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [2, 6]}
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id: 588398
{'degree': 12, 'field': [169, 0, 290, 0, 155, 0, 0, 0, -21, 0, -2, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [9]}
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id: 588396
{'degree': 12, 'field': [772, 509, -829, 140, 436, -553, -107, 169, -37, 0, -4, -1, 1], 'lmfdb_label': '11376.d3', 'torsion': [4]}
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id: 588397
{'degree': 12, 'field': [187489, 45898, 5618, -9294, 9087, -2296, -604, 380, -61, -34, 18, -6, 1], 'lmfdb_label': '11376.d3', 'torsion': [3, 3]}
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id: 588401
{'degree': 18, 'field': [-5867, -14152, 196442, 660802, -216374, -1826036, 203041, 1733082, -316387, -618608, 135955, 101732, -24175, -8140, 1998, 302, -75, -4, 1], 'lmfdb_label': '11376.d3', 'torsion': [18]}
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id: 588400
{'degree': 18, 'field': [694480609, 0, 894742985, 0, 474319516, 0, 129715364, 0, 18591350, 0, 1178830, 0, 5324, 0, -1404, 0, 1, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [6]}
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ec_localdata • Show schema
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id: 243876
{'conductor': 11376, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '11376.d3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 243877
{'conductor': 11376, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11376.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 243878
{'conductor': 11376, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11376.d3', 'prime': 79, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1739368
{'adelic_gens': [[328, 9, 1395, 2824], [1, 18, 0, 1], [10, 9, 81, 73], [1, 0, 18, 1], [1411, 2826, 162, 107], [2827, 18, 2826, 19], [2834, 2835, 1431, 8], [1, 18, 10, 181]], 'adelic_image': '2844.144.3.?', 'conductor': 11376, 'lmfdb_label': '11376.d3', 'prime': 0}
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id: 54558
{'conductor': 11376, 'elladic_image': '9.12.0.1', 'lmfdb_label': '11376.d3', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 491551
{'lmfdb_iso': '11376.d', 'p': 5, 'prec': 20, 'unit': 3360760647116, 'val': 1}
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id: 491552
{'lmfdb_iso': '11376.d', 'p': 7, 'prec': 20, 'unit': 1755873977336998, 'val': -1}
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id: 491556
{'lmfdb_iso': '11376.d', 'p': 13, 'prec': 20, 'unit': 6794956055307212167, 'val': 3}
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id: 491558
{'lmfdb_iso': '11376.d', 'p': 19, 'prec': 20, 'unit': 1767329215006009843418771, 'val': 1}
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id: 491561
{'lmfdb_iso': '11376.d', 'p': 23, 'prec': 20, 'unit': 36763188962341998043036168, 'val': 1}
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id: 491553
{'lmfdb_iso': '11376.d', 'p': 31, 'prec': 20, 'unit': 7405339098191752931406638526, 'val': 1}
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id: 491566
{'lmfdb_iso': '11376.d', 'p': 37, 'prec': 20, 'unit': 150236761168328202701085509770, 'val': 1}
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id: 491554
{'lmfdb_iso': '11376.d', 'p': 41, 'prec': 20, 'unit': 443414575212515332858339487608, 'val': 1}
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id: 491555
{'lmfdb_iso': '11376.d', 'p': 43, 'prec': 20, 'unit': 10155464474392380581112444784448, 'val': 1}
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id: 491557
{'lmfdb_iso': '11376.d', 'p': 47, 'prec': 20, 'unit': 53038105400363805398952057439890, 'val': 1}
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id: 491559
{'lmfdb_iso': '11376.d', 'p': 53, 'prec': 20, 'unit': 357354176814797207425826004033887, 'val': 1}
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id: 491564
{'lmfdb_iso': '11376.d', 'p': 59, 'prec': 20, 'unit': 1051872388813429907725354683782589, 'val': 1}
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id: 491565
{'lmfdb_iso': '11376.d', 'p': 61, 'prec': 20, 'unit': 3199846399916863089004626562121695, 'val': 1}
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id: 491550
{'lmfdb_iso': '11376.d', 'p': 67, 'prec': 20, 'unit': 14139333692666399006022587012588230, 'val': 1}
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id: 491563
{'lmfdb_iso': '11376.d', 'p': 71, 'prec': 20, 'unit': 21839061238607823713771659041995401, 'val': 1}
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id: 491560
{'lmfdb_iso': '11376.d', 'p': 73, 'prec': 20, 'unit': 59227925845313341272780352246341011, 'val': 1}
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id: 491549
{'lmfdb_iso': '11376.d', 'p': 83, 'prec': 20, 'unit': 201736758031946388397108502204346847, 'val': 1}
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id: 491562
{'lmfdb_iso': '11376.d', 'p': 89, 'prec': 20, 'unit': 8673999176176170172859897281325774273, 'val': 1}
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id: 491548
{'lmfdb_iso': '11376.d', 'p': 97, 'prec': 20, 'unit': 13719105314207487699266802400820175397, 'val': 1}