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ec_curvedata • Show schema
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{'Ciso': '2800bf', 'Clabel': '2800bf1', 'Cnumber': 1, 'abc_quality': 0.917369764916668, 'absD': 224000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 0, 0, -40, -100], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2800, 'degree': 576, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19718597194925834020376024453', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [-221184, 7], 'lmfdb_iso': '2800.bf', 'lmfdb_label': '2800.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -40, 100], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0616435704310803067987714921', 'prec': 103}, 'szpiro_ratio': 2.8641064306278783, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 3, 0, 0, 0, 1, 0, 6, 0, -3, 0, -1, 0, 0, 0, 5, 0, 8, 0], 'aplist': [0, 3, 0, 1, -3, -1, 5, 8, 2, -1, 2, -10, -6, -4, 11, -6, 10, 0, -10, 0, 10, 7, 12, 8, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 2800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2800.bf', 'trace_hash': 2004618291298552419}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.4834522070725674561005709857', 'prec': 100}, 'conductor': 2800, 'gens': [], 'heights': [], 'lmfdb_label': '2800.bf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.94742738141890288733900115679', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7897095256756115493560046271566890365', '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': [0, 0, 0], '5': 'a', '7': [1, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 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': '2800.bf1'}
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ec_torsion_growth • Show schema
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id: 145964
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '2800.bf1', 'torsion': [2]}
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id: 145965
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '2800.bf1', 'torsion': [2, 2]}
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id: 145966
{'degree': 8, 'field': [-75, 0, -300, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '2800.bf1', 'torsion': [3]}
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id: 145967
{'degree': 12, 'field': [-14, 56, 0, -224, 158, 116, 80, -180, 82, 2, -4, -2, 1], 'lmfdb_label': '2800.bf1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 49818
{'conductor': 2800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2800.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 49819
{'conductor': 2800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2800.bf1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 49820
{'conductor': 2800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2800.bf1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 2800, 'lmfdb_label': '2800.bf1', 'prime': 0}
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lmfdb_iso 2800.bf does not appear in ec_padic
