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ec_curvedata • Show schema
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{'Ciso': '160113i', 'Clabel': '160113i1', 'Cnumber': 1, 'abc_quality': 0.6881105533392455, 'absD': 480339, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, -1, 1, 18, 11], 'analytic_rank': 0, 'bad_primes': [3, 19, 53], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 160113, 'degree': 31104, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.22184929533586560445057255130', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [217088, 171], 'lmfdb_iso': '160113.h', 'lmfdb_label': '160113.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 18, 11], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, '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': '-0.88356461426121924347465074114', 'prec': 107}, 'szpiro_ratio': 1.6880221858490283, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, -1, 2, 2, -2, 0, 0, 1, 4, -1, -2, -4, 0, -2, -4, -5, 2, 1, 4], 'aplist': [2, -1, 2, 0, -1, -4, -5, 1, 8, 0, 4, 8, 12, 11, -13, 0, -4, -2, 8, -12, 6, 14, -15, 2, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 160113, 'isogeny_matrix': [[1]], 'lmfdb_iso': '160113.h', 'trace_hash': 774170184237832720}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.5584606802368457239289199078', 'prec': 100}, 'conductor': 160113, 'gens': [], 'heights': [], 'lmfdb_label': '160113.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8982704082536339447261558641', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7965408165072678894523117282042563050', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 160113.h1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7163775
{'degree': 3, 'field': [-161, 71, -1, 1], 'lmfdb_label': '160113.h1', 'torsion': [2]}
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id: 7163776
{'degree': 6, 'field': [50715, -4179, 4040, 277, -136, -3, 1], 'lmfdb_label': '160113.h1', 'torsion': [2, 2]}
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id: 7163777
{'degree': 8, 'field': [-8427, 0, 1855, 0, 318, 0, 0, 0, 1], 'lmfdb_label': '160113.h1', 'torsion': [3]}
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id: 7163778
{'degree': 12, 'field': [-122966784, 0, -50337280, 0, -10786560, 0, 296800, 0, 8480, 0, 0, 0, 1], 'lmfdb_label': '160113.h1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3961619
{'conductor': 160113, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '160113.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3961620
{'conductor': 160113, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '160113.h1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3961621
{'conductor': 160113, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '160113.h1', 'prime': 53, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 160113, 'lmfdb_label': '160113.h1', 'prime': 0}
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lmfdb_iso 160113.h does not appear in ec_padic