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ec_curvedata • Show schema
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{'Ciso': '4800j', 'Clabel': '4800j1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 172800000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -1333, -26963], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4800, 'degree': 5760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85720326309444683463007356068', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '4800.o', 'lmfdb_label': '4800.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': 40, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '24.48.0-6.c.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034698', 'prec': 103}, 'szpiro_ratio': 4.006464788658182, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, -6, 0, -5, 0, 0, 0, -6, 0, -5, 0], 'aplist': [0, -1, 0, -1, -6, -5, -6, -5, -6, 6, -1, -2, 0, 1, 6, 12, 6, 13, -11, 0, 2, 8, 6, 0, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 4800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4800.o', 'trace_hash': 1975707302850815699}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18007055616719099451586032049', 'prec': 103}, 'conductor': 4800, 'gens': [], 'heights': [], 'lmfdb_label': '4800.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38370351615098078977674576810', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.38370351615098078977674576810037794508', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '4800.o2'}
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ec_torsion_growth • Show schema
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id: 249056
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [3]}
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id: 249057
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '4800.o2', 'torsion': [2]}
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id: 249060
{'degree': 6, 'field': [-2, 0, 12, 0, 6, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [6]}
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id: 249058
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '4800.o2', 'torsion': [2, 2]}
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id: 249059
{'degree': 6, 'field': [24, 0, 28, 0, 2, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [6]}
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id: 249061
{'degree': 12, 'field': [-3, 0, 20, 0, 87, 0, 100, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [4]}
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id: 249062
{'degree': 12, 'field': [4, 0, 24, 0, 156, 0, -76, 0, 24, 0, -6, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [6, 6]}
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id: 249063
{'degree': 18, 'field': [-109512, 0, 234576, 0, -230256, 0, 137944, 0, -54624, 0, 15072, 0, -2914, 0, 384, 0, -30, 0, 1], 'lmfdb_label': '4800.o2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 91894
{'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '4800.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 91895
{'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4800.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 91896
{'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4800.o2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1695268
{'adelic_gens': [[5, 6, 18, 5], [19, 6, 18, 7], [1, 0, 6, 1], [7, 0, 0, 1], [2, 5, 1, 3], [21, 16, 1, 21], [1, 6, 0, 7], [1, 6, 0, 1], [11, 0, 0, 23]], 'adelic_image': '24.48.0.?', 'conductor': 4800, 'lmfdb_label': '4800.o2', 'prime': 0}
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id: 23808
{'conductor': 4800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4800.o2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 4800.o does not appear in ec_padic