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ec_curvedata • Show schema
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{'Ciso': '213444bb', 'Clabel': '213444bb1', 'Cnumber': 1, 'abc_quality': 0.9583976315253696, 'absD': 20965277243072219904, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 22, 'ainvs': [0, 0, 0, -1138368, -516795356], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 213444, 'degree': 4147200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4410085313366504251089733454', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1], 'jinv': [-4194304, 539], 'lmfdb_iso': '213444.bd', 'lmfdb_label': '213444.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -21, 49], 'min_quad_twist_disc': -231, 'modell_images': [], 'modm_images': ['22.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1221508889758494130968748373', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74229844429754321811711884807', 'prec': 107}, 'szpiro_ratio': 4.37200661541677, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, -1, 0, 0, -4, 6, -2, -1, 2, 1, -9, -6, -8, -8, -10, 1, -2, 11, -11, -14, 14, -4, 13, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 213444, 'isogeny_matrix': [[1]], 'lmfdb_iso': '213444.bd', 'trace_hash': 1560359766892919537}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0075817058181530833758476912360', 'prec': 110}, 'conductor': 213444, 'gens': [[7392, 628474, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1221508889758494130968748373', 'prec': 100}], 'lmfdb_label': '213444.bd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.072559375817624419165613314686', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4369916731006919357129966016010816024', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [7392]}
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lmfdb_label 213444.bd1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9320315
{'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '213444.bd1', 'torsion': [2]}
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id: 9320316
{'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '213444.bd1', 'torsion': [2, 2]}
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id: 9320317
{'degree': 8, 'field': [-13383, 699, 4683, 2940, 210, 126, 21, -1, 1], 'lmfdb_label': '213444.bd1', 'torsion': [3]}
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id: 9320318
{'degree': 12, 'field': [25981, 58674, 84324, 82710, 49407, 25808, 9496, 1380, 279, 150, 4, -2, 1], 'lmfdb_label': '213444.bd1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5292601
{'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '213444.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 5292602
{'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '213444.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5292603
{'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '213444.bd1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5292604
{'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '213444.bd1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 21, 0], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 20, 3], [13, 2, 13, 3]], 'adelic_image': '22.2.0.?', 'conductor': 213444, 'lmfdb_label': '213444.bd1', 'prime': 0}
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lmfdb_iso 213444.bd does not appear in ec_padic