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ec_curvedata • Show schema
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{'Ciso': '4650o', 'Clabel': '4650o1', 'Cnumber': 1, 'abc_quality': 0.8831661275521379, 'absD': 3603750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1860, 'ainvs': [1, 0, 1, -1026, -13052], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4650, 'degree': 3840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.61157076938630787721562074813', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [-7633736209, 230640], 'lmfdb_iso': '4650.t', 'lmfdb_label': '4650.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -41, -121], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '124.6.0.?', '1860.12.0.?'], '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': '-0.19314818683074231008475891848', 'prec': 107}, 'szpiro_ratio': 3.844264442248244, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, 2, -1, 1, 0, 0, 1, -4, -2, 0, 1, -6, -1, 0, 0], 'aplist': [-1, 1, 0, 2, 0, -4, -6, 0, 0, 8, -1, -4, 10, -8, 4, 14, 14, -6, 10, 6, 8, 8, 12, 16, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 4650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4650.t', 'trace_hash': 341295609276296829}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.29430414523589141839512709510', 'prec': 103}, 'conductor': 4650, 'gens': [], 'heights': [], 'lmfdb_label': '4650.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42107629060330717494503355760', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6843051624132286997801342303914290771', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[37, -19, 1]], 'xcoord_integral_points': [37]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 0], '3': [1, 0], '5': 'a', '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '4650.t2'}
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ec_torsion_growth • Show schema
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id: 241679
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '4650.t2', 'torsion': [2, 2]}
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id: 241680
{'degree': 4, 'field': [100, -20, -10, -2, 1], 'lmfdb_label': '4650.t2', 'torsion': [4]}
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id: 241682
{'degree': 8, 'field': [256, 0, 116, 0, -9, 0, -4, 0, 1], 'lmfdb_label': '4650.t2', 'torsion': [2, 4]}
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id: 241683
{'degree': 8, 'field': [916, -4531, 4582, -103, 55, -7, 7, -4, 1], 'lmfdb_label': '4650.t2', 'torsion': [6]}
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id: 241681
{'degree': 8, 'field': [1249, 2184, 199, -490, 536, -92, 15, -2, 1], 'lmfdb_label': '4650.t2', 'torsion': [2, 4]}
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id: 241685
{'degree': 16, 'field': [1801066, -1887739, 3870960, -1452635, 1545065, 243003, -77477, 26270, 10305, -16645, 2158, -87, 35, -35, 15, -4, 1], 'lmfdb_label': '4650.t2', 'torsion': [2, 6]}
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id: 241684
{'degree': 16, 'field': [2624400, 0, -14016960, 0, 158364, 0, 2895648, 0, 505689, 0, 16864, 0, -246, 0, 0, 0, 1], 'lmfdb_label': '4650.t2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 88631
{'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4650.t2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 88632
{'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4650.t2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 88633
{'conductor': 4650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '4650.t2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 88634
{'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4650.t2', 'prime': 31, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1694212
{'adelic_gens': [[374, 1, 743, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1801, 4, 1742, 9], [622, 1, 619, 0], [1, 0, 4, 1], [1857, 4, 1856, 5], [3, 4, 8, 11], [469, 1396, 464, 1395]], 'adelic_image': '1860.12.0.?', 'conductor': 4650, 'lmfdb_label': '4650.t2', 'prime': 0}
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id: 23036
{'conductor': 4650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4650.t2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4650.t does not appear in ec_padic