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ec_curvedata • Show schema
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{'Ciso': '1170h', 'Clabel': '1170h1', 'Cnumber': 1, 'abc_quality': 1.0868098531910144, 'absD': 299342238474240000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [1, -1, 1, 151252, -13465169], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1170, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0413589514920572444010214758', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [19441890357117957, 15208161280000], 'lmfdb_iso': '1170.l', 'lmfdb_label': '1170.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 16806, 493108], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], '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': '1.2173997349909749758545875481', 'prec': 100}, 'szpiro_ratio': 6.708469013788078, '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, -1, 0, 2, 1, 0, -1, 4, 0, -1, 2, 0, 1, -4, 0, 6, -1], 'aplist': [1, 0, -1, 2, 4, -1, -4, 6, 0, -4, 6, -2, 10, 8, 0, -4, 4, 2, 6, -8, 10, -4, -12, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 1170, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1170.l', 'trace_hash': 1418363458572016505}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016861575192512713531549303039', 'prec': 107}, 'conductor': 1170, 'gens': [], 'heights': [], 'lmfdb_label': '1170.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17093033475481348073682486098', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7348853560770156917891977756376102823', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[85, -43, 1]], 'xcoord_integral_points': [85]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1170.l2'}
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ec_torsion_growth • Show schema
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id: 57897
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '1170.l2', 'torsion': [2, 2]}
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id: 57898
{'degree': 4, 'field': [-2, -2, 3, -2, 1], 'lmfdb_label': '1170.l2', 'torsion': [4]}
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id: 57901
{'degree': 8, 'field': [-3, 0, -116, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '1170.l2', 'torsion': [6]}
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id: 57900
{'degree': 8, 'field': [100, 0, -47, 0, 3, 0, 7, 0, 1], 'lmfdb_label': '1170.l2', 'torsion': [2, 4]}
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id: 57899
{'degree': 8, 'field': [328, -64, 274, -52, 97, -13, 16, -1, 1], 'lmfdb_label': '1170.l2', 'torsion': [2, 4]}
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id: 57902
{'degree': 16, 'field': [8656, 213376, 3016, -370776, 28638, 190996, -62886, -11148, 14293, -5324, -1034, 812, 168, -168, 44, -8, 1], 'lmfdb_label': '1170.l2', 'torsion': [8]}
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id: 57903
{'degree': 16, 'field': [80896, 177920, 236736, -637040, 558248, -183924, 45400, -4816, -7236, 7952, -332, 81, 272, -77, 27, -4, 1], 'lmfdb_label': '1170.l2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 17101
{'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '1170.l2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
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id: 17102
{'conductor': 1170, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1170.l2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 17103
{'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1170.l2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 17104
{'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1170.l2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1671961
{'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 1170, 'lmfdb_label': '1170.l2', 'prime': 0}
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id: 5616
{'conductor': 1170, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1170.l2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 1170.l does not appear in ec_padic