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ec_curvedata • Show schema
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{'Ciso': '47040dw', 'Clabel': '47040dw1', 'Cnumber': 1, 'abc_quality': 1.0072456275350292, 'absD': 177094686720000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 0, 3659, -635795], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 47040, 'degree': 129024, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4139539448162216388662370794', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [57344, 1875], 'lmfdb_iso': '47040.m', 'lmfdb_label': '47040.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 19, -225], 'min_quad_twist_disc': 56, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 15680], [5, 6, 9408], [7, 26, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69199119854059009219076889126', 'prec': 107}, 'szpiro_ratio': 3.740634827044606, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, -2, 0, -1, 0, 1, 0, -4, 0, -1, 0], 'aplist': [0, -1, -1, 0, -2, -1, -4, -1, -4, 0, 5, 5, 2, -9, 2, -12, -8, 14, 9, -2, 1, 3, -18, -4, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 47040, 'isogeny_matrix': [[1]], 'lmfdb_iso': '47040.m', 'trace_hash': 1964257011950607079}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.059136444309980080158940253386', 'prec': 107}, 'conductor': 47040, 'gens': [], 'heights': [], 'lmfdb_label': '47040.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27488611933697972205850548348', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.54977223867395944411701096694981191609', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '47040.m1'}
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ec_torsion_growth • Show schema
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id: 2294885
{'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '47040.m1', 'torsion': [2]}
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id: 2294886
{'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '47040.m1', 'torsion': [2, 2]}
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id: 2294887
{'degree': 8, 'field': [-48, 0, 34, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '47040.m1', 'torsion': [3]}
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id: 2294888
{'degree': 12, 'field': [-48, 0, 128, 0, -96, 0, -32, 0, 44, 0, -12, 0, 1], 'lmfdb_label': '47040.m1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1122774
{'conductor': 47040, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '47040.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1122775
{'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '47040.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1122776
{'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '47040.m1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1122777
{'conductor': 47040, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '47040.m1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 47040, 'lmfdb_label': '47040.m1', 'prime': 0}
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lmfdb_iso 47040.m does not appear in ec_padic
