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ec_curvedata • Show schema
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{'Ciso': '7056bb', 'Clabel': '7056bb1', 'Cnumber': 1, 'absD': 39846304512, 'ainvs': [0, 0, 0, 0, -9604], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 7056, 'degree': 4032, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71290719681582858420733202331', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '7056.be', 'lmfdb_label': '7056.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, -28], 'min_quad_twist_disc': 28, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.595614183439992, '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, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, 0, 0, 0, 5, 0, 1, 0, 0, -11, 11, 0, 13, 0, 0, 0, 14, -5, 0, 17, -17, 0, 0, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 7056, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '7056.be', 'trace_hash': 490470968812875675}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.24031267438295308234569233666', 'prec': 103}, 'conductor': 7056, 'gens': [], 'heights': [], 'lmfdb_label': '7056.be1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52677241242243665110264709797', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1070896496897466044105883918714002256', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0, 0], '7': 'a', '11': [0, 0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [2, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '7056.be1'}
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ec_torsion_growth • Show schema
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id: 371014
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [3]}
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id: 371015
{'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '7056.be1', 'torsion': [2]}
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id: 371018
{'degree': 6, 'field': [1, 0, 27, 0, -9, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [6]}
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id: 371016
{'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '7056.be1', 'torsion': [2, 2]}
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id: 371017
{'degree': 6, 'field': [169, -252, 27, -28, -9, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [3]}
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id: 371019
{'degree': 12, 'field': [-972, 0, 0, 0, 360, 0, 0, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [4]}
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id: 371022
{'degree': 12, 'field': [1, 14, 41, -96, 18, 22, 17, -26, 20, -20, 15, -6, 1], 'lmfdb_label': '7056.be1', 'torsion': [2, 6]}
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id: 371021
{'degree': 12, 'field': [1372, -1960, 2632, -1908, 1576, -580, 414, -64, 76, -10, 14, -2, 1], 'lmfdb_label': '7056.be1', 'torsion': [7]}
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id: 371020
{'degree': 12, 'field': [50625, 0, 18225, 0, 5886, 0, 693, 0, 90, 0, -3, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [3, 3]}
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id: 371024
{'degree': 18, 'field': [-27, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [6]}
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id: 371023
{'degree': 18, 'field': [15625, 0, -50625, 0, 45825, 0, 2064, 0, -15588, 0, 4683, 0, 123, 0, -153, 0, 6, 0, 1], 'lmfdb_label': '7056.be1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 144654
{'conductor': 7056, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7056.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 144655
{'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7056.be1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 144656
{'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7056.be1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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lmfdb_label 7056.be1 does not appear in ec_galrep
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lmfdb_iso 7056.be does not appear in ec_padic