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ec_curvedata • Show schema
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{'Ciso': '74529d', 'Clabel': '74529d1', 'Cnumber': 1, 'absD': 37786203, 'ainvs': [0, 0, 1, 0, -296], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 9504, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13283712106872063739433005114', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.w', 'lmfdb_label': '74529.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -296], 'min_quad_twist_disc': 1, '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': 2.2196541361256643, '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.w', 'trace_hash': 1424088730696527698}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.76668884174395598516475834734', 'prec': 103}, 'conductor': 74529, 'gens': [], 'heights': [], 'lmfdb_label': '74529.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.94090170492518013601916649732', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8818034098503602720383329946318241491', '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': [2, 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.w1'}
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ec_torsion_growth • Show schema
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id: 3527399
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '74529.w1', 'torsion': [3]}
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id: 3527400
{'degree': 3, 'field': [-27, 61, -1, 1], 'lmfdb_label': '74529.w1', 'torsion': [2]}
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id: 3527401
{'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '74529.w1', 'torsion': [2, 2]}
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id: 3527402
{'degree': 6, 'field': [1183, 0, 0, -364, 0, 0, 1], 'lmfdb_label': '74529.w1', 'torsion': [3]}
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id: 3527403
{'degree': 6, 'field': [18928, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '74529.w1', 'torsion': [6]}
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id: 3527404
{'degree': 12, 'field': [-230348, 298800, -48000, -52712, 38964, -6924, 3744, -1272, 246, 16, 12, -6, 1], 'lmfdb_label': '74529.w1', 'torsion': [4]}
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id: 3527406
{'degree': 12, 'field': [157, 442, -99, -495, 577, -246, -49, 102, -57, 8, 5, -3, 1], 'lmfdb_label': '74529.w1', 'torsion': [7]}
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id: 3527407
{'degree': 12, 'field': [570025, -91355, -77469, -13252, 16273, 1659, -902, -609, 129, -8, 7, -3, 1], 'lmfdb_label': '74529.w1', 'torsion': [2, 6]}
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id: 3527405
{'degree': 12, 'field': [1401856, -7104, -17724, 47270, -17655, -7224, 2507, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '74529.w1', 'torsion': [3, 3]}
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id: 3527409
{'degree': 18, 'field': [-4913, 0, 0, -209128, 0, 0, 98695, 0, 0, -13852, 0, 0, 725, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '74529.w1', 'torsion': [6]}
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id: 3527408
{'degree': 18, 'field': [402641, 2295168, 3016413, -14885568, 12691836, -1759572, -2572284, 1456890, -135711, -147052, 38484, -1152, 2562, 516, -531, -6, 6, 0, 1], 'lmfdb_label': '74529.w1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1809935
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '74529.w1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1809936
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.w1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1809937
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '74529.w1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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lmfdb_label 74529.w1 does not appear in ec_galrep
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lmfdb_iso 74529.w does not appear in ec_padic