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ec_curvedata • Show schema
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{'Ciso': '74529e', 'Clabel': '74529e1', 'Cnumber': 1, 'absD': 182386784716227, 'ainvs': [0, 0, 1, 0, -649763], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 123552, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4153117997994890054210737719', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.t', 'lmfdb_label': '74529.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -296], 'min_quad_twist_disc': 13, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.5914139654539246, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -1, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -7, -11, 0, 8, 0, 0, 0, 1, -11, 0, -10, -13, 0, 0, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.t', 'trace_hash': 1629601003619362497}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.058976064749535075781904488257', 'prec': 107}, 'conductor': 74529, 'gens': [], 'heights': [], 'lmfdb_label': '74529.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26095918017532502584549874091', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.52191836035065005169099748182591056663', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 's?', '3': 'a', '5': [0, 0, 0], '7': 'a', '11': [0, 0, 0], '13': 'a', '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '74529.t1'}
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ec_torsion_growth • Show schema
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id: 3527421
{'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '74529.t1', 'torsion': [3]}
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id: 3527422
{'degree': 3, 'field': [-27, 61, -1, 1], 'lmfdb_label': '74529.t1', 'torsion': [2]}
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id: 3527423
{'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '74529.t1', 'torsion': [2, 2]}
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id: 3527425
{'degree': 6, 'field': [9801, -1485, 1072, -113, 8, -1, 1], 'lmfdb_label': '74529.t1', 'torsion': [6]}
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id: 3527424
{'degree': 6, 'field': [78688, -16602, -3531, 43, 72, -3, 1], 'lmfdb_label': '74529.t1', 'torsion': [3]}
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id: 3527426
{'degree': 12, 'field': [-9111322506, 3666781404, -1057004364, 235677624, -36296234, 1933360, 744316, -141224, 11770, -1190, 58, -2, 1], 'lmfdb_label': '74529.t1', 'torsion': [4]}
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id: 3527428
{'degree': 12, 'field': [42511, -62514, -13693, 33970, 5424, -5451, -532, 315, 61, 66, 3, -4, 1], 'lmfdb_label': '74529.t1', 'torsion': [7]}
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id: 3527427
{'degree': 12, 'field': [9566649, 27976185, 36846603, 28003320, 13029489, 3622311, 531126, 18963, -3687, -72, 27, -3, 1], 'lmfdb_label': '74529.t1', 'torsion': [3, 3]}
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id: 3527429
{'degree': 12, 'field': [96059601, -14554485, -8301447, 623106, 902971, -107177, 22310, -245, -1121, 218, -7, -1, 1], 'lmfdb_label': '74529.t1', 'torsion': [2, 6]}
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id: 3527431
{'degree': 18, 'field': [-8910941663168, 0, 0, 231007927792, 0, 0, -3578463780, 0, 0, 18812723, 0, 0, 42555, 0, 0, -557, 0, 0, 1], 'lmfdb_label': '74529.t1', 'torsion': [6]}
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id: 3527430
{'degree': 18, 'field': [1095912791, 0, -2790167463, -752343972, 2780266770, 1708228581, -581052096, -743222178, -127579152, 74603191, 39583359, 7963284, 852363, 79407, 15393, 2265, 72, -3, 1], 'lmfdb_label': '74529.t1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1809941
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '74529.t1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1809942
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.t1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1809943
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '74529.t1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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lmfdb_label 74529.t1 does not appear in ec_galrep
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lmfdb_iso 74529.t does not appear in ec_padic