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ec_curvedata • Show schema
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{'Ciso': '46800cr', 'Clabel': '46800cr1', 'Cnumber': 1, 'abc_quality': 0.9735097716388428, 'absD': 1797120000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 312, 'ainvs': [0, 0, 0, -17475, -889150], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 46800, 'degree': 62208, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0029805118318011402488147379', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 45, 'isogeny_degrees': [1, 3], 'jinv': [-8538302475, 26], 'lmfdb_iso': '46800.bt', 'lmfdb_label': '46800.bt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1092, 14166], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '312.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 975], [3, 6, 5200], [5, 14, 1872], [13, 14, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50129904503987171688414847053', 'prec': 107}, 'szpiro_ratio': 3.8051481891271566, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 1, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, 0, -2, 6, 1, 0, 1, 6, 3, -8, -1, 9, -8, -3, -3, -6, -10, 13, 9, -4, -11, 12, 6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 46800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '46800.bt', 'trace_hash': 876150999320045009}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.13453094612874730151443699223', 'prec': 103}, 'conductor': 46800, 'gens': [], 'heights': [], 'lmfdb_label': '46800.bt1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20761808625447710442232360318', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4914170350537252530678832382160507354', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [1, 0], '17': [0, 0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '46800.bt1'}
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ec_torsion_growth • Show schema
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id: 2282084
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '46800.bt1', 'torsion': [3]}
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id: 2282085
{'degree': 3, 'field': [-33, -3, -1, 1], 'lmfdb_label': '46800.bt1', 'torsion': [2]}
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id: 2282088
{'degree': 6, 'field': [162, -18, 1, -16, 2, -2, 1], 'lmfdb_label': '46800.bt1', 'torsion': [6]}
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id: 2282086
{'degree': 6, 'field': [1296, 1728, 726, 132, 31, -2, 1], 'lmfdb_label': '46800.bt1', 'torsion': [2, 2]}
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id: 2282087
{'degree': 6, 'field': [16873, -2340, 27, -260, -9, 0, 1], 'lmfdb_label': '46800.bt1', 'torsion': [3]}
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id: 2282089
{'degree': 12, 'field': [-56624, -111648, -282668, 177980, -10284, -15840, 10036, -516, 88, 88, 21, -1, 1], 'lmfdb_label': '46800.bt1', 'torsion': [4]}
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id: 2282091
{'degree': 12, 'field': [34596, 0, -1536, 0, -22340, 0, 6900, 0, 185, 0, -6, 0, 1], 'lmfdb_label': '46800.bt1', 'torsion': [2, 6]}
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id: 2282090
{'degree': 12, 'field': [285643801, -13182780, 557697, -8790860, 152106, 5460, 101393, 0, 6, -520, -3, 0, 1], 'lmfdb_label': '46800.bt1', 'torsion': [3, 3]}
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id: 2282092
{'degree': 18, 'field': [2361768992, -1339371264, 379782144, 45714864, 88135368, -44648520, 11590308, 2937288, 1011000, -729788, 297660, 7764, 5922, -4656, 1392, -78, 18, -6, 1], 'lmfdb_label': '46800.bt1', 'torsion': [9]}
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id: 2282093
{'degree': 18, 'field': [76966926388, -92145552408, 25797388284, -16675241848, 2500224108, -873323760, 605340020, -139001208, -721668, -12286708, -1577616, -173532, 3797, 13026, -261, 212, 15, -6, 1], 'lmfdb_label': '46800.bt1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 1116381
{'conductor': 46800, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '46800.bt1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1116382
{'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '46800.bt1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1116383
{'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '46800.bt1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 1116384
{'conductor': 46800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46800.bt1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1975736
{'adelic_gens': [[4, 3, 9, 7], [233, 306, 0, 311], [145, 6, 123, 19], [307, 6, 306, 7], [1, 6, 0, 1], [222, 97, 211, 6], [3, 4, 8, 11], [157, 6, 159, 19], [1, 0, 6, 1]], 'adelic_image': '312.16.0.?', 'conductor': 46800, 'lmfdb_label': '46800.bt1', 'prime': 0}
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id: 202296
{'conductor': 46800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '46800.bt1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 46800.bt does not appear in ec_padic
