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ec_curvedata • Show schema
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{'Ciso': '74529g', 'Clabel': '74529g2', 'Cnumber': 2, 'absD': 391350810123, 'ainvs': [0, 0, 1, 0, 30098], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 54432, 'elladic_images': ['13.273.11.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90328842217762379545148901049', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.y', 'lmfdb_label': '74529.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 3], 'min_quad_twist_disc': 21, 'modell_images': ['13Ns.5.1.4'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, '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': 3.0437438143412576, '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, 8, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -7, 10, 0, -13, 0, 0, 0, 13, -11, 0, 17, -13, 0, 0, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.y', 'trace_hash': 1929605521988371106}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16421531032906395977014118751', 'prec': 103}, 'conductor': 74529, 'gens': [], 'heights': [], 'lmfdb_label': '74529.y2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.75422710223198559940285403384', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5084542044639711988057080676811621914', 'prec': 130}, '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.y2'}
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ec_torsion_growth • Show schema
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id: 3527478
{'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '74529.y2', 'torsion': [3]}
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id: 3527479
{'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [2]}
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id: 3527480
{'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [2, 2]}
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id: 3527482
{'degree': 6, 'field': [1338, -1524, 448, 43, -31, -1, 1], 'lmfdb_label': '74529.y2', 'torsion': [6]}
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id: 3527481
{'degree': 6, 'field': [1625, 0, 0, -26, 0, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [3]}
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id: 3527483
{'degree': 12, 'field': [-2147329548, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [4]}
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id: 3527484
{'degree': 12, 'field': [4096, 0, -6144, 0, 3840, 0, 3179, 0, 240, 0, -24, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [3, 3]}
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id: 3527485
{'degree': 12, 'field': [24571, 75408, 83870, 31397, -7881, -7998, -574, 285, -113, 15, 24, -2, 1], 'lmfdb_label': '74529.y2', 'torsion': [7]}
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id: 3527486
{'degree': 12, 'field': [2859481, 848882, -64213, 337378, 82950, -9818, 10879, 1754, -282, 158, 11, -2, 1], 'lmfdb_label': '74529.y2', 'torsion': [2, 6]}
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id: 3527487
{'degree': 18, 'field': [4096, 63744, 193536, -574689, -2802180, -3286809, -132150, 1166280, -143802, -375518, 96672, -57051, -37311, -978, -1467, -249, -6, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [9]}
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id: 3527488
{'degree': 18, 'field': [1771561, 0, 0, 244904, 0, 0, 187791, 0, 0, -7848, 0, 0, 2751, 0, 0, -92, 0, 0, 1], 'lmfdb_label': '74529.y2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 1809956
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '74529.y2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1809957
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74529.y2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1809958
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.y2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'conductor': 74529, 'elladic_image': '13.273.11.1', 'lmfdb_label': '74529.y2', 'modell_image': '13Ns.5.1.4', 'prime': 13}
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lmfdb_iso 74529.y does not appear in ec_padic