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ec_curvedata • Show schema
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{'Ciso': '76050bl', 'Clabel': '76050bl2', 'Cnumber': 2, 'abc_quality': 1.0867566045656807, 'absD': 67736367202962656250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -1749942, 798626466], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 76050, 'degree': 3096576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5374559426179198522430713030', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 66, 'isogeny_degrees': [1, 2], 'jinv': [10779215329, 1232010], 'lmfdb_iso': '76050.co', 'lmfdb_label': '76050.co1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -46, -127], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.099043836663953548781674702857', 'prec': 110}, 'szpiro_ratio': 4.870377296619573, '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, 0, 0, 2, -1, 0, 0, 4, 0, 0, -2, 0, 1, 8, 0, 6, 0], 'aplist': [-1, 0, 0, 2, 4, 0, 8, 6, 6, 4, 0, -2, -2, 4, 0, -10, 4, -10, 12, -8, -8, 8, -12, -14, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 76050, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '76050.co', 'trace_hash': 1547452073590261619}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0062516372769040274301615993761', 'prec': 110}, 'conductor': 76050, 'gens': [], 'heights': [], 'lmfdb_label': '76050.co1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18909908962496985135074401422', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0255854339995176216119042275035801608', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[2211, -2211, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '76050.co1'}
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ec_torsion_growth • Show schema
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id: 3595130
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '76050.co1', 'torsion': [2, 2]}
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id: 3595131
{'degree': 4, 'field': [40, 0, -11, 0, 1], 'lmfdb_label': '76050.co1', 'torsion': [4]}
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id: 3595134
{'degree': 8, 'field': [-4629, 3483, 531, 288, 240, -78, 11, -3, 1], 'lmfdb_label': '76050.co1', 'torsion': [6]}
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id: 3595132
{'degree': 8, 'field': [4086, -8460, 6990, -2640, 463, -60, 10, 0, 1], 'lmfdb_label': '76050.co1', 'torsion': [2, 4]}
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id: 3595133
{'degree': 8, 'field': [14046751, 887652, -866678, -41720, 20291, 680, -222, -4, 1], 'lmfdb_label': '76050.co1', 'torsion': [2, 4]}
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id: 3595135
{'degree': 16, 'field': [350438400, 0, -110972160, 0, 29899584, 0, 1155648, 0, -10976, 0, 10604, 0, 369, 0, -10, 0, 1], 'lmfdb_label': '76050.co1', 'torsion': [8]}
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id: 3595136
{'degree': 16, 'field': [1203257344, 0, -271342208, 0, 19089280, 0, -10789856, 0, -266000, 0, -7544, 0, 1228, 0, -20, 0, 1], 'lmfdb_label': '76050.co1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1848748
{'conductor': 76050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76050.co1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1848749
{'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '76050.co1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1848750
{'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76050.co1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1848751
{'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '76050.co1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2166404
{'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 76050, 'lmfdb_label': '76050.co1', 'prime': 0}
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id: 314023
{'conductor': 76050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76050.co1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 76050.co does not appear in ec_padic