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ec_curvedata • Show schema
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{'Ciso': '5544k', 'Clabel': '5544k1', 'Cnumber': 1, 'abc_quality': 1.0837194328019344, 'absD': 23863892976, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, -13359, 594351], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5544, 'degree': 7680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0307965414799259517870467398', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-610325920583424, 55240493], 'lmfdb_iso': '5544.a', 'lmfdb_label': '5544.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -13359, 594351], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13411907880227178162127661495', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52509440912625009246582472342', 'prec': 103}, 'szpiro_ratio': 4.653294893819263, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -3, 0, -1, 0, 0, 0, 1, 0, -3, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, -3, -1, 1, -3, 6, 1, -4, 5, -4, 5, 2, 6, -1, -2, 7, -14, 1, 6, -17, 2, 14, -6, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 5544, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5544.a', 'trace_hash': 1360070487627123728}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12725108679492877660758707749', 'prec': 103}, 'conductor': 5544, 'gens': [[69, 33, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.13411907880227178162127661495', 'prec': 103}], 'lmfdb_label': '5544.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1462194735969628628648558033', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0745979980809908395862425135315683153', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': [-63, 58, 69, 105]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5544.a1'}
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ec_torsion_growth • Show schema
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id: 288091
{'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '5544.a1', 'torsion': [2]}
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id: 288092
{'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '5544.a1', 'torsion': [2, 2]}
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id: 288093
{'degree': 8, 'field': [-12, 0, 12, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '5544.a1', 'torsion': [3]}
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id: 288094
{'degree': 12, 'field': [2401, -6174, -8232, -7448, -3087, 0, 1176, 252, 126, -98, 0, -6, 1], 'lmfdb_label': '5544.a1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 108289
{'conductor': 5544, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5544.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 108290
{'conductor': 5544, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5544.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 108291
{'conductor': 5544, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5544.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 108292
{'conductor': 5544, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '5544.a1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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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.a1', 'prime': 0}
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ec_padic • Show schema
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id: 208746
{'lmfdb_iso': '5544.a', 'p': 5, 'prec': 20, 'unit': 94100217951412, 'val': 0}
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id: 208752
{'lmfdb_iso': '5544.a', 'p': 13, 'prec': 20, 'unit': 346907426372161626918, 'val': 1}
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id: 208754
{'lmfdb_iso': '5544.a', 'p': 17, 'prec': 20, 'unit': 101060626531586438757347, 'val': 1}
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id: 208755
{'lmfdb_iso': '5544.a', 'p': 19, 'prec': 20, 'unit': 15011910895819286879800115, 'val': -1}
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id: 208759
{'lmfdb_iso': '5544.a', 'p': 23, 'prec': 20, 'unit': 31266761350915413482936397, 'val': 1}
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id: 208751
{'lmfdb_iso': '5544.a', 'p': 29, 'prec': 20, 'unit': 3300730117016776705912213941, 'val': 1}
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id: 208748
{'lmfdb_iso': '5544.a', 'p': 31, 'prec': 20, 'unit': 19091765743016876165978003682, 'val': 1}
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id: 208763
{'lmfdb_iso': '5544.a', 'p': 37, 'prec': 20, 'unit': 581703305544232599876097240942, 'val': 1}
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id: 208749
{'lmfdb_iso': '5544.a', 'p': 41, 'prec': 20, 'unit': 3704791774438790182460375827272, 'val': 1}
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id: 208750
{'lmfdb_iso': '5544.a', 'p': 43, 'prec': 20, 'unit': 907287358663839787887378150849, 'val': 1}
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id: 208761
{'lmfdb_iso': '5544.a', 'p': 47, 'prec': 20, 'unit': 29622318785839667772381549874262, 'val': 1}
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id: 208756
{'lmfdb_iso': '5544.a', 'p': 53, 'prec': 20, 'unit': 499583636532924261207078975958221, 'val': 1}
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id: 208757
{'lmfdb_iso': '5544.a', 'p': 59, 'prec': 20, 'unit': 4093377986760148085799857507418656, 'val': 1}
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id: 208762
{'lmfdb_iso': '5544.a', 'p': 61, 'prec': 20, 'unit': 86336290513166801580706117728189, 'val': 2}
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id: 208745
{'lmfdb_iso': '5544.a', 'p': 67, 'prec': 20, 'unit': 3142259707916937534582030318201414353, 'val': -1}
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id: 208747
{'lmfdb_iso': '5544.a', 'p': 71, 'prec': 20, 'unit': 86586086761413940937104271456870272, 'val': 1}
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id: 208758
{'lmfdb_iso': '5544.a', 'p': 73, 'prec': 20, 'unit': 175467556865014819407583456974591820, 'val': 1}
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id: 208753
{'lmfdb_iso': '5544.a', 'p': 79, 'prec': 20, 'unit': 622135448535821688860926306031466072, 'val': 1}
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id: 208744
{'lmfdb_iso': '5544.a', 'p': 83, 'prec': 20, 'unit': 2555134234007013678793371263884873377, 'val': 1}
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id: 208760
{'lmfdb_iso': '5544.a', 'p': 89, 'prec': 20, 'unit': 3992791829471933367215065606097358185, 'val': 1}
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id: 208743
{'lmfdb_iso': '5544.a', 'p': 97, 'prec': 20, 'unit': 53172254330688352802549057104054566398, 'val': 1}