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ec_curvedata • Show schema
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{'Ciso': '47040dr', 'Clabel': '47040dr1', 'Cnumber': 1, 'abc_quality': 1.0377180697416322, 'absD': 24710934782520000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 1, 0, -60825, -9535527], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 47040, 'degree': 376320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8412978905904711315808257555', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 190, 'isogeny_degrees': [1], 'jinv': [-1376628736, 1366875], 'lmfdb_iso': '47040.hi', 'lmfdb_label': '47040.hi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -310, 3364], 'min_quad_twist_disc': -56, 'modell_images': [], 'modm_images': ['6.2.0.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': '-0.12686749056892927738225092477', 'prec': 107}, 'szpiro_ratio': 4.243982191554253, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 6, 0, -3, 0, 1, 0, 4, 0, 1, 0], 'aplist': [0, 1, 1, 0, 6, -3, 4, 1, -4, 8, -1, -7, 6, -1, -2, -4, -8, -14, -7, 6, -1, -1, 2, 12, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 47040, 'isogeny_matrix': [[1]], 'lmfdb_iso': '47040.hi', 'trace_hash': 660236091141366590}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.025157586415553201849660527824', 'prec': 107}, 'conductor': 47040, 'gens': [], 'heights': [], 'lmfdb_label': '47040.hi1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14613626026804322055082986405', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0918152875052101754232361935121641502', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [5, 0], '5': [1, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '47040.hi1'}
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ec_torsion_growth • Show schema
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id: 2294845
{'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '47040.hi1', 'torsion': [2]}
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id: 2294846
{'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '47040.hi1', 'torsion': [2, 2]}
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id: 2294847
{'degree': 8, 'field': [-115248, 0, 35672, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '47040.hi1', 'torsion': [3]}
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id: 2294848
{'degree': 12, 'field': [-3675, 0, -2744, 0, 2499, 0, -280, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '47040.hi1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1122746
{'conductor': 47040, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '47040.hi1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1122747
{'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '47040.hi1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 1122748
{'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '47040.hi1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1122749
{'conductor': 47040, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '47040.hi1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 47040, 'lmfdb_label': '47040.hi1', 'prime': 0}
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lmfdb_iso 47040.hi does not appear in ec_padic
