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ec_curvedata • Show schema
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{'Ciso': '163170el', 'Clabel': '163170el1', 'Cnumber': 1, 'abc_quality': 0.8852746678383387, 'absD': 5553356334750, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10360, 'ainvs': [1, -1, 0, -2655, -124349], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 163170, 'degree': 248832, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1329052973193684034963069138', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [-24137569, 64750], 'lmfdb_iso': '163170.n', 'lmfdb_label': '163170.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6, -14], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['10360.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7806999156162768484725744773', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38935592154234309475399207638', 'prec': 107}, 'szpiro_ratio': 3.0823028932068697, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, 0, -1, 0, 1, -2, 0, 1, 0, 0, 1, 0, 0, 2, -1], 'aplist': [-1, 0, -1, 0, -2, 1, 0, 2, -1, 1, 7, -1, 0, 6, 5, -3, -10, -8, 13, -7, -15, 14, 4, -7, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 163170, 'isogeny_matrix': [[1]], 'lmfdb_iso': '163170.n', 'trace_hash': 383162933650438343}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10374590457371501053155429469', 'prec': 103}, 'conductor': 163170, 'gens': [[95, 641, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7806999156162768484725744773', 'prec': 100}], 'lmfdb_label': '163170.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30884944205937268998350385781', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6706682381280180591152703220662431236', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [95]}
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lmfdb_label 163170.n1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7289753
{'degree': 3, 'field': [35, 9, -1, 1], 'lmfdb_label': '163170.n1', 'torsion': [2]}
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id: 7289754
{'degree': 6, 'field': [41440, 0, 676, 0, 52, 0, 1], 'lmfdb_label': '163170.n1', 'torsion': [2, 2]}
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id: 7289755
{'degree': 8, 'field': [-60000, 37200, -7584, 1728, 576, -60, 50, -1, 1], 'lmfdb_label': '163170.n1', 'torsion': [3]}
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id: 7289756
{'degree': 12, 'field': [-34851395168, -30985609152, -7205656712, -737058160, 40295020, 25347248, 2308952, 33152, -18600, -2600, -26, -4, 1], 'lmfdb_label': '163170.n1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4038631
{'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '163170.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4038632
{'conductor': 163170, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '163170.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4038633
{'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '163170.n1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4038634
{'conductor': 163170, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '163170.n1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4038635
{'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '163170.n1', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[8401, 2, 8401, 3], [4441, 2, 4441, 3], [2591, 2, 0, 1], [10359, 2, 10358, 3], [6217, 2, 6217, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 10359, 0], [5181, 2, 5181, 3]], 'adelic_image': '10360.2.0.?', 'conductor': 163170, 'lmfdb_label': '163170.n1', 'prime': 0}
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lmfdb_iso 163170.n does not appear in ec_padic