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ec_curvedata • Show schema
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{'Ciso': '7056h', 'Clabel': '7056h2', 'Cnumber': 2, 'abc_quality': 0.8374478418484275, 'absD': 39846304512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, 441, 8918], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7056, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71660719639437529831717991183', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2], 'jinv': [11664, 49], 'lmfdb_iso': '7056.bv', 'lmfdb_label': '7056.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 9, 26], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.d.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99309907067360565002912918343', 'prec': 107}, 'szpiro_ratio': 3.578888605399151, '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, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 2, 0, 6, 6, -2, 4, 2, -8, 4, -6, 10, 4, 4, 4, 12, 2, -12, 6, 2, 8, 0, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 7056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7056.bv', 'trace_hash': 1513934915300752730}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.23854092435451561306417418825', 'prec': 103}, 'conductor': 7056, 'gens': [], 'heights': [], 'lmfdb_label': '7056.bv2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.82074814454259050345212633205', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2829925781703620138085053281799023483', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-14]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '7056.bv2'}
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ec_torsion_growth • Show schema
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id: 370656
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '7056.bv2', 'torsion': [2, 2]}
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id: 370657
{'degree': 4, 'field': [1, -1, -3, -1, 1], 'lmfdb_label': '7056.bv2', 'torsion': [4]}
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id: 370660
{'degree': 8, 'field': [-132, -336, 120, 12, 60, -36, 2, -2, 1], 'lmfdb_label': '7056.bv2', 'torsion': [6]}
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id: 370658
{'degree': 8, 'field': [1, -3, 4, -3, 3, -3, 4, -3, 1], 'lmfdb_label': '7056.bv2', 'torsion': [2, 4]}
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id: 370659
{'degree': 8, 'field': [49, -14, -34, 94, 43, -10, 8, -4, 1], 'lmfdb_label': '7056.bv2', 'torsion': [2, 4]}
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id: 370661
{'degree': 16, 'field': [1, 0, 16, 0, 65, 0, -200, 0, 34, 0, 80, 0, -40, 0, 2, 0, 1], 'lmfdb_label': '7056.bv2', 'torsion': [8]}
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id: 370662
{'degree': 16, 'field': [3031, -16912, 42000, -54012, 36120, -12264, 4540, -4180, 1524, 732, -756, 252, -28, -20, 12, -4, 1], 'lmfdb_label': '7056.bv2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 144537
{'conductor': 7056, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7056.bv2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 144538
{'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7056.bv2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 144539
{'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '7056.bv2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1710678
{'adelic_gens': [[1, 2, 2, 5], [3, 4, 8, 11], [81, 4, 80, 5], [32, 1, 55, 0], [1, 4, 0, 1], [65, 22, 20, 63], [73, 4, 62, 9], [1, 0, 4, 1]], 'adelic_image': '84.12.0.?', 'conductor': 7056, 'lmfdb_label': '7056.bv2', 'prime': 0}
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id: 34866
{'conductor': 7056, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7056.bv2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 7056.bv does not appear in ec_padic