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ec_curvedata • Show schema
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{'Ciso': '54450fu', 'Clabel': '54450fu1', 'Cnumber': 1, 'abc_quality': 1.0144134759627057, 'absD': 195334530311250000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [1, -1, 1, -68630, 22378997], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 54450, 'degree': 760320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0018539772525299794192749967', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 178, 'isogeny_degrees': [1], 'jinv': [-14641, 80], 'lmfdb_iso': '54450.gw', 'lmfdb_label': '54450.gw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2, 4], 'min_quad_twist_disc': 165, 'modell_images': [], 'modm_images': ['20.2.0.a.1'], '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': '-0.95076797183082208295335634035', 'prec': 107}, 'szpiro_ratio': 4.343760925124791, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 0, 3, 0, 1, 8, 0, 8, 0], 'aplist': [1, 0, 0, 3, 0, 0, 8, 8, 0, -2, 6, 0, -5, -1, -5, 8, 10, 7, 7, 14, 16, 10, -12, -9, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 54450, 'isogeny_matrix': [[1]], 'lmfdb_iso': '54450.gw', 'trace_hash': 2038455907947450005}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.018247851087712181479679363113', 'prec': 107}, 'conductor': 54450, 'gens': [], 'heights': [], 'lmfdb_label': '54450.gw1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27531537898584973951527633212', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6075690956603937483666319707875846045', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': 'a', '13': [0, 0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '54450.gw1'}
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ec_torsion_growth • Show schema
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id: 2634137
{'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '54450.gw1', 'torsion': [2]}
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id: 2634138
{'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '54450.gw1', 'torsion': [2, 2]}
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id: 2634139
{'degree': 8, 'field': [384, 0, -288, -189, 105, 24, -10, -3, 1], 'lmfdb_label': '54450.gw1', 'torsion': [3]}
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id: 2634140
{'degree': 12, 'field': [-1577, -2405, 2346, 3577, 1967, 712, 1000, 144, 153, 37, 14, -1, 1], 'lmfdb_label': '54450.gw1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1308223
{'conductor': 54450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '54450.gw1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1308224
{'conductor': 54450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '54450.gw1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1308225
{'conductor': 54450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '54450.gw1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1308226
{'conductor': 54450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '54450.gw1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [1, 1, 19, 0], [17, 2, 17, 3], [1, 0, 2, 1], [11, 2, 11, 3], [19, 2, 18, 3]], 'adelic_image': '20.2.0.?', 'conductor': 54450, 'lmfdb_label': '54450.gw1', 'prime': 0}
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lmfdb_iso 54450.gw does not appear in ec_padic