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ec_curvedata • Show schema
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{'Ciso': '4600b', 'Clabel': '4600b1', 'Cnumber': 1, 'abc_quality': 0.7122077717999953, 'absD': 143750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 46, 'ainvs': [0, -1, 0, 92, 437], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4600, 'degree': 768, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25029519585542922132494049749', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [340736, 575], 'lmfdb_iso': '4600.f', 'lmfdb_label': '4600.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 5], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['46.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.64308468629274486164070809323', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78547282054826940244784987628', 'prec': 107}, 'szpiro_ratio': 3.061289674472807, '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, 2, 0, -2, 0, 0, 0, -1, 0, 0, 0, 4, 0, -4, 0], 'aplist': [0, -1, 0, 2, 0, -1, 4, -4, -1, -3, -1, 8, -5, 6, -9, -2, 0, 0, -4, 3, -7, 4, -8, -14, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 4600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4600.f', 'trace_hash': 327943054686573653}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.60617267472484062569665723985', 'prec': 103}, 'conductor': 4600, 'gens': [[2, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.64308468629274486164070809323', 'prec': 103}], 'lmfdb_label': '4600.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2557955885876816882231674994', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2303316485388886710762321139241718888', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [1, 2, 2302]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [3, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4600.f1'}
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ec_torsion_growth • Show schema
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id: 239696
{'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '4600.f1', 'torsion': [2]}
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id: 239697
{'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '4600.f1', 'torsion': [2, 2]}
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id: 239698
{'degree': 8, 'field': [-7500, 0, 3340, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '4600.f1', 'torsion': [3]}
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id: 239699
{'degree': 12, 'field': [-545, -1440, -2964, -3824, -3909, -2580, -1148, -276, -3, -4, 0, -4, 1], 'lmfdb_label': '4600.f1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 87781
{'conductor': 4600, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4600.f1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 87782
{'conductor': 4600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '4600.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 87783
{'conductor': 4600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4600.f1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 45, 0], [1, 2, 0, 1], [45, 2, 44, 3], [1, 0, 2, 1]], 'adelic_image': '46.2.0.?', 'conductor': 4600, 'lmfdb_label': '4600.f1', 'prime': 0}
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ec_padic • Show schema
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id: 165916
{'lmfdb_iso': '4600.f', 'p': 7, 'prec': 20, 'unit': 1395456467727916, 'val': 2}
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id: 165919
{'lmfdb_iso': '4600.f', 'p': 13, 'prec': 20, 'unit': 578629823575060140740, 'val': 1}
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id: 165921
{'lmfdb_iso': '4600.f', 'p': 17, 'prec': 20, 'unit': 20455659503505893617937, 'val': 1}
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id: 165912
{'lmfdb_iso': '4600.f', 'p': 19, 'prec': 20, 'unit': 899788157383860669371093, 'val': 1}
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id: 165928
{'lmfdb_iso': '4600.f', 'p': 29, 'prec': 20, 'unit': 2186359840366335549037803767, 'val': 1}
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id: 165929
{'lmfdb_iso': '4600.f', 'p': 31, 'prec': 20, 'unit': 11502686430870352457344251996, 'val': 1}
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id: 165915
{'lmfdb_iso': '4600.f', 'p': 37, 'prec': 20, 'unit': 430427691109361173134649662712, 'val': 1}
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id: 165917
{'lmfdb_iso': '4600.f', 'p': 41, 'prec': 20, 'unit': 981338401440043454604948201736, 'val': 1}
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id: 165918
{'lmfdb_iso': '4600.f', 'p': 43, 'prec': 20, 'unit': 6950615592116485755593459166401, 'val': 1}
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id: 165920
{'lmfdb_iso': '4600.f', 'p': 47, 'prec': 20, 'unit': 19361760346385979510740885788174, 'val': 1}
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id: 165923
{'lmfdb_iso': '4600.f', 'p': 53, 'prec': 20, 'unit': 573506855736618767952533388258146, 'val': 1}
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id: 165914
{'lmfdb_iso': '4600.f', 'p': 67, 'prec': 20, 'unit': 32392723040783417882387166792463774, 'val': 1}
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id: 165926
{'lmfdb_iso': '4600.f', 'p': 71, 'prec': 20, 'unit': 94264279254041921611048309609957564, 'val': 1}
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id: 165924
{'lmfdb_iso': '4600.f', 'p': 73, 'prec': 20, 'unit': 36503810303275946154808479718397376, 'val': 1}
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id: 165927
{'lmfdb_iso': '4600.f', 'p': 79, 'prec': 20, 'unit': 242535814622421293012597334628911443, 'val': 1}
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id: 165922
{'lmfdb_iso': '4600.f', 'p': 83, 'prec': 20, 'unit': 211229060756267058198509328572507255, 'val': 1}
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id: 165925
{'lmfdb_iso': '4600.f', 'p': 89, 'prec': 20, 'unit': 6034507568139768060487415308649210792, 'val': 1}
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id: 165913
{'lmfdb_iso': '4600.f', 'p': 97, 'prec': 20, 'unit': 14677900439214266197236837485658155505, 'val': 1}