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ec_curvedata • Show schema
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{'Ciso': '910i', 'Clabel': '910i1', 'Cnumber': 1, 'abc_quality': 0.9428641726170456, 'absD': 12740, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [1, 1, 1, -6, -1], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 910, 'degree': 64, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.52072518899756752829602130247', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [24137569, 12740], 'lmfdb_iso': '910.k', 'lmfdb_label': '910.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6, -1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '130.6.0.?', '3640.12.0.?'], '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': True, 'serre_invariants': [[2, 4, 65], [5, 6, 182], [7, 8, 130], [13, 14, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52072518899756752829602130247', 'prec': 107}, 'szpiro_ratio': 2.4949612220458346, '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, 1, 1, 1, -1, 4, 2, 1, 1, -2, 1, 0, 1, -2, -1], 'aplist': [1, 2, -1, 1, 4, 1, 0, -2, 2, -2, 0, 2, 0, -4, 0, 4, -6, 6, 4, -6, -14, -8, -12, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 910, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '910.k', 'trace_hash': 1486392335721367374}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.8333234256570823567976946212', 'prec': 100}, 'conductor': 910, 'gens': [], 'heights': [], 'lmfdb_label': '910.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '3.5045156420410926989898491195', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5045156420410926989898491195370369582', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-3, 1, 1]], 'xcoord_integral_points': [-3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '5': [0, 0], '7': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '910.k2'}
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ec_torsion_growth • Show schema
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id: 43503
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 2]}
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id: 43504
{'degree': 4, 'field': [8, -16, 17, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [4]}
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id: 43505
{'degree': 8, 'field': [-1024, -128, 120, 32, 249, -2, -30, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 4]}
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id: 43507
{'degree': 8, 'field': [-940, -128, 20, 215, -104, -7, 7, -4, 1], 'lmfdb_label': '910.k2', 'torsion': [6]}
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id: 43506
{'degree': 8, 'field': [1456, -1456, 2276, 216, 508, 228, 9, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 4]}
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id: 43509
{'degree': 16, 'field': [-3792896, 2252800, -4567552, 4986880, -1862400, 1735936, -892416, -156416, 108850, 7800, -5792, 127, 92, 105, -25, -4, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 6]}
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id: 43508
{'degree': 16, 'field': [4324496, -2805888, 4189984, -3209920, 2732632, -1414784, 563192, -57744, -8399, 9848, 4340, -4648, 1806, -504, 92, -8, 1], 'lmfdb_label': '910.k2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 12240
{'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '910.k2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 12241
{'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '910.k2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 12242
{'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '910.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 12243
{'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '910.k2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1670335
{'adelic_gens': [[521, 4, 1042, 9], [1, 2, 2, 5], [1, 4, 0, 1], [1122, 1, 3079, 0], [3637, 4, 3636, 5], [1369, 2276, 3184, 455], [1821, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [2914, 1, 2183, 0]], 'adelic_image': '3640.12.0.?', 'conductor': 910, 'lmfdb_label': '910.k2', 'prime': 0}
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id: 4262
{'conductor': 910, 'elladic_image': '2.3.0.1', 'lmfdb_label': '910.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 910.k does not appear in ec_padic