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ec_curvedata • Show schema
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{'Ciso': '1386i', 'Clabel': '1386i1', 'Cnumber': 1, 'abc_quality': 0.9298539857527179, 'absD': 200058012, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [1, -1, 1, 40, 663], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1386, 'degree': 512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27294141212440476257680471934', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [9938375, 274428], 'lmfdb_iso': '1386.i', 'lmfdb_label': '1386.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 5, -23], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27636473220965008312081789912', 'prec': 107}, 'szpiro_ratio': 3.6697549454180107, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, -1, 1, 0, 0, 1, 0, -2, -1, 0, 1, 4, 0, 6, 0], 'aplist': [1, 0, 0, -1, 1, -2, 4, 6, 4, 10, 6, -6, 12, -8, -2, -6, 8, 6, -4, 0, -12, 0, -14, -10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 1386, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1386.i', 'trace_hash': 67428613620253874}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.57933011084471629055226146812', 'prec': 103}, 'conductor': 1386, 'gens': [], 'heights': [], 'lmfdb_label': '1386.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3427086813851344624326240096', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6854173627702689248652480192137262310', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-7, 3, 1]], 'xcoord_integral_points': [-7]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '7': [0, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '1386.i2'}
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ec_torsion_growth • Show schema
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id: 69659
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '1386.i2', 'torsion': [2, 2]}
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id: 69660
{'degree': 4, 'field': [-18, -48, -17, -2, 1], 'lmfdb_label': '1386.i2', 'torsion': [4]}
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id: 69663
{'degree': 8, 'field': [-12, 0, -21, 0, 135, 0, -23, 0, 1], 'lmfdb_label': '1386.i2', 'torsion': [6]}
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id: 69661
{'degree': 8, 'field': [1264, -752, 316, 244, 0, 2, 25, -4, 1], 'lmfdb_label': '1386.i2', 'torsion': [2, 4]}
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id: 69662
{'degree': 8, 'field': [7744, 11616, 8382, 2904, 203, -132, -30, 0, 1], 'lmfdb_label': '1386.i2', 'torsion': [2, 4]}
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id: 69665
{'degree': 16, 'field': [9604, 0, 68600, 0, 4900, 0, -637, 0, -4802, 0, 287, 0, 133, 0, 14, 0, 1], 'lmfdb_label': '1386.i2', 'torsion': [2, 6]}
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id: 69664
{'degree': 16, 'field': [7001316, 0, -39711168, 0, -39351116, 0, -1256248, 0, 277061, 0, -37324, 0, 2006, 0, -76, 0, 1], 'lmfdb_label': '1386.i2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 21172
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1386.i2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 21173
{'conductor': 1386, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '1386.i2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 21174
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1386.i2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 21175
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1386.i2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1673279
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [90, 1, 263, 0], [1, 2, 2, 5], [1, 4, 0, 1], [309, 4, 2, 9], [57, 4, 114, 9], [81, 540, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 1386, 'lmfdb_label': '1386.i2', 'prime': 0}
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id: 6743
{'conductor': 1386, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1386.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 1386.i does not appear in ec_padic