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ec_curvedata • Show schema
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{'Ciso': '176890ef', 'Clabel': '176890ef2', 'Cnumber': 2, 'abc_quality': 1.0048266852045005, 'absD': 322734743660000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [1, 1, 0, -429958, -108690252], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 176890, 'degree': 2096640, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8715952035595911375540833150', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2], 'jinv': [544737993463, 20000], 'lmfdb_iso': '176890.bt', 'lmfdb_label': '176890.bt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1191, 15721], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.272030466424547183460685452', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.087101823287457418726768586805', 'prec': 110}, 'szpiro_ratio': 4.181639512292937, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 2, 1, -1, -2, 0, -1, 1, 1, -4, 2, 2, 0, -2, 1, -8, -1, 0, -1], 'aplist': [-1, 2, -1, 0, -4, 2, -8, 0, -4, 6, 4, 10, 4, 4, -4, -10, -14, 10, 4, -12, -4, -4, 2, 8, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 176890, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '176890.bt', 'trace_hash': 1785112909653520773}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023678438636017802478364244392', 'prec': 107}, 'conductor': 176890, 'gens': [[17511991, 65717517809, 102]], 'heights': [{'__RealLiteral__': 0, 'data': '15.272030466424547183460685452', 'prec': 100}], 'lmfdb_label': '176890.bt1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18644205079634694677806199899', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6946973599689671604897330648796686426', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1509, 1509, 2]], 'xcoord_integral_points': []}
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lmfdb_label 176890.bt1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7838293
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '176890.bt1', 'torsion': [2, 2]}
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id: 7838294
{'degree': 4, 'field': [5054, 0, -133, 0, 1], 'lmfdb_label': '176890.bt1', 'torsion': [4]}
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id: 7838296
{'degree': 8, 'field': [119716, 0, -7872, 0, -410, 0, -8, 0, 1], 'lmfdb_label': '176890.bt1', 'torsion': [2, 4]}
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id: 7838295
{'degree': 8, 'field': [1771561, 0, 170370, 0, 6754, 0, 130, 0, 1], 'lmfdb_label': '176890.bt1', 'torsion': [2, 4]}
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id: 7838297
{'degree': 8, 'field': [2217868, -1572485, 292588, -32615, 2941, 1, -17, -2, 1], 'lmfdb_label': '176890.bt1', 'torsion': [6]}
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id: 7838299
{'degree': 16, 'field': [-6235681440680, -88076988536, 2546643617825, -906615365832, 170668708442, -23289451342, 2452207243, -215988576, 12730321, -1699446, 329701, -73424, 6947, 18, -58, -4, 1], 'lmfdb_label': '176890.bt1', 'torsion': [2, 6]}
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id: 7838298
{'degree': 16, 'field': [1047878794, 5016703068, 8136517592, 3698759436, 1152556579, 391488228, 112883437, 16852470, 5127853, 571068, 209484, 1932, 4745, -12, 95, -6, 1], 'lmfdb_label': '176890.bt1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4377160
{'conductor': 176890, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '176890.bt1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4377161
{'conductor': 176890, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '176890.bt1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4377162
{'conductor': 176890, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '176890.bt1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4377163
{'conductor': 176890, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176890.bt1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2803242
{'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [2, 1, 27, 0], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 176890, 'lmfdb_label': '176890.bt1', 'prime': 0}
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id: 665066
{'conductor': 176890, 'elladic_image': '8.6.0.3', 'lmfdb_label': '176890.bt1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 176890.bt does not appear in ec_padic