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ec_curvedata • Show schema
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{'Ciso': '10304bj', 'Clabel': '10304bj1', 'Cnumber': 1, 'abc_quality': 0.9353849686479683, 'absD': 242679808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 0, 0, -236, -1584], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10304, 'degree': 2048, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33594057479958873588774370041', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [-22180932, 3703], 'lmfdb_iso': '10304.t', 'lmfdb_label': '10304.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, 198], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '184.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58825566594700501000189912820', 'prec': 107}, 'szpiro_ratio': 3.058190866932479, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 1, 0, -3, 0, 0, 0, 4, 0, 0, 0, -4, 0, -2, 0], 'aplist': [0, 0, -2, 1, 0, 4, -4, -2, 1, 6, -2, 6, -2, 4, -6, -6, 0, 2, -4, -12, -10, 8, -6, 0, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 10304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10304.t', 'trace_hash': 2088549569929228288}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.51074688223074620531056939956', 'prec': 103}, 'conductor': 10304, 'gens': [], 'heights': [], 'lmfdb_label': '10304.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.60351693827291656193083598130', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2070338765458331238616719625958074262', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[18, 0, 1]], 'xcoord_integral_points': [18]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '7': [1, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '10304.t2'}
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ec_torsion_growth • Show schema
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id: 533017
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '10304.t2', 'torsion': [2, 2]}
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id: 533018
{'degree': 4, 'field': [-37, 6, -5, -2, 1], 'lmfdb_label': '10304.t2', 'torsion': [4]}
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id: 533021
{'degree': 8, 'field': [-2523, 0, -2832, 0, -534, 0, -30, 0, 1], 'lmfdb_label': '10304.t2', 'torsion': [6]}
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id: 533020
{'degree': 8, 'field': [441, 0, 1414, 0, -33, 0, -6, 0, 1], 'lmfdb_label': '10304.t2', 'torsion': [2, 4]}
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id: 533019
{'degree': 8, 'field': [1296, 0, -18, 0, 13, 0, -4, 0, 1], 'lmfdb_label': '10304.t2', 'torsion': [2, 4]}
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id: 533022
{'degree': 16, 'field': [36809, -23104, 251860, -55312, -1061868, 1527736, -829996, 177168, 89077, -106608, 39608, -10744, 2458, -336, 68, -8, 1], 'lmfdb_label': '10304.t2', 'torsion': [8]}
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id: 533023
{'degree': 16, 'field': [4915089, 0, 1499292, 0, -575748, 0, -101664, 0, 22926, 0, -516, 0, 312, 0, 0, 0, 1], 'lmfdb_label': '10304.t2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 218303
{'conductor': 10304, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '10304.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 218304
{'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10304.t2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 218305
{'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10304.t2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1732070
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [281, 4, 562, 9], [809, 484, 160, 1127], [1, 4, 0, 1], [370, 1, 1103, 0], [1285, 4, 1284, 5], [645, 4, 2, 9]], 'adelic_image': '1288.12.0.?', 'conductor': 10304, 'lmfdb_label': '10304.t2', 'prime': 0}
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id: 49559
{'conductor': 10304, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10304.t2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 10304.t does not appear in ec_padic