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ec_curvedata • Show schema
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{'Ciso': '5544q', 'Clabel': '5544q1', 'Cnumber': 1, 'abc_quality': 0.959121509287614, 'absD': 15532587577584, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, -14943, -728201], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5544, 'degree': 11520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2977502297939363879649279546', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-31636584484096, 1331669031], 'lmfdb_iso': '5544.h', 'lmfdb_label': '5544.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1660, 26417], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51739502527323310579489462899', 'prec': 103}, 'szpiro_ratio': 4.700416922838451, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 7, 0], 'aplist': [0, 0, -1, -1, 1, 3, 0, 7, -6, 9, 0, -3, -8, 10, -3, -6, -7, 10, -3, 8, -7, 8, 0, 6, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 5544, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5544.h', 'trace_hash': 729803606655607062}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.074608528176395313875439494557', 'prec': 107}, 'conductor': 5544, 'gens': [], 'heights': [], 'lmfdb_label': '5544.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21537306056863315784482266862', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7229844845490652627585813489387321143', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '5544.h1'}
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ec_torsion_growth • Show schema
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id: 288135
{'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '5544.h1', 'torsion': [2]}
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id: 288136
{'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '5544.h1', 'torsion': [2, 2]}
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id: 288137
{'degree': 8, 'field': [-108, -72, -180, -72, 24, 24, -12, -2, 1], 'lmfdb_label': '5544.h1', 'torsion': [3]}
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id: 288138
{'degree': 12, 'field': [81, 54, 216, 360, -63, 0, 216, -12, -18, 42, 0, -2, 1], 'lmfdb_label': '5544.h1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 108321
{'conductor': 5544, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5544.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 108322
{'conductor': 5544, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '5544.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 108323
{'conductor': 5544, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '5544.h1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 108324
{'conductor': 5544, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5544.h1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[155, 2, 155, 3], [211, 2, 211, 3], [199, 2, 199, 3], [1, 1, 461, 0], [1, 2, 0, 1], [1, 0, 2, 1], [461, 2, 460, 3]], 'adelic_image': '462.2.0.?', 'conductor': 5544, 'lmfdb_label': '5544.h1', 'prime': 0}
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lmfdb_iso 5544.h does not appear in ec_padic