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ec_curvedata • Show schema
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{'Ciso': '61710g', 'Clabel': '61710g1', 'Cnumber': 1, 'abc_quality': 0.9202892459549217, 'absD': 2488228286940, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2040, 'ainvs': [1, 1, 0, 1692, -70308], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 61710, 'degree': 115200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0609250888817534118791784827', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [302111711, 1404540], 'lmfdb_iso': '61710.b', 'lmfdb_label': '61710.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 14, 59], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '136.6.0.?', '2040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7819328887512948106871063221', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13802254751743186015179330628', 'prec': 107}, 'szpiro_ratio': 3.25147085320636, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, -2, -1, 1, 1, 0, -1, -4, 2, 1, 1, 1, -1, -4, -1], 'aplist': [-1, -1, -1, -2, 0, -4, 1, -4, 4, -2, 0, -2, 4, -10, -8, 2, -2, 14, 2, -6, 4, 12, -8, -10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 61710, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '61710.b', 'trace_hash': 1493877724230813570}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11980975397842360338777110821', 'prec': 103}, 'conductor': 61710, 'gens': [[62, 496, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7819328887512948106871063221', 'prec': 100}], 'lmfdb_label': '61710.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41047618611619856663367812693', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2838344044117008211928469045931297276', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[28, -14, 1]], 'xcoord_integral_points': [28, 62, 149]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': 'a', '13': [3, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61710.b2'}
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ec_torsion_growth • Show schema
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id: 2954677
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '61710.b2', 'torsion': [2, 2]}
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id: 2954678
{'degree': 4, 'field': [297, 330, 45, -2, 1], 'lmfdb_label': '61710.b2', 'torsion': [4]}
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id: 2954681
{'degree': 8, 'field': [-461710, 199597, -201820, 4445, -2219, -7, 7, -4, 1], 'lmfdb_label': '61710.b2', 'torsion': [6]}
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id: 2954679
{'degree': 8, 'field': [283936, 228688, 71666, 12334, 1669, 32, -61, -4, 1], 'lmfdb_label': '61710.b2', 'torsion': [2, 4]}
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id: 2954680
{'degree': 8, 'field': [629511, -444312, 172924, -26928, 3249, -748, 102, 0, 1], 'lmfdb_label': '61710.b2', 'torsion': [2, 4]}
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id: 2954682
{'degree': 16, 'field': [-301453418052, 22592907168, 88489990112, -39964489248, -9701710498, 5215789648, 99208928, -264985888, 5574323, 6886696, -379824, -95552, 16706, 1568, -204, -8, 1], 'lmfdb_label': '61710.b2', 'torsion': [8]}
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id: 2954683
{'degree': 16, 'field': [355882969440, 314528838120, 302262127924, 137144225528, 45630908020, 8386034312, 761310094, -115735948, -41719441, -5350655, 140261, 106942, 10796, -788, -95, -7, 1], 'lmfdb_label': '61710.b2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1486782
{'conductor': 61710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '61710.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1486783
{'conductor': 61710, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '61710.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1486784
{'conductor': 61710, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '61710.b2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1486785
{'conductor': 61710, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '61710.b2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1486786
{'conductor': 61710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '61710.b2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2072874
{'adelic_gens': [[1, 2, 2, 5], [257, 1786, 1784, 255], [1, 4, 0, 1], [1021, 4, 2, 9], [241, 4, 482, 9], [682, 1, 679, 0], [1, 0, 4, 1], [2037, 4, 2036, 5], [3, 4, 8, 11], [1634, 1, 1223, 0]], 'adelic_image': '2040.12.0.?', 'conductor': 61710, 'lmfdb_label': '61710.b2', 'prime': 0}
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id: 259805
{'conductor': 61710, 'elladic_image': '2.3.0.1', 'lmfdb_label': '61710.b2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3136829
{'lmfdb_iso': '61710.b', 'p': 7, 'prec': 20, 'unit': 5788203723395669, 'val': 1}
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id: 3136833
{'lmfdb_iso': '61710.b', 'p': 13, 'prec': 20, 'unit': 96828527629109570330, 'val': 2}
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id: 3136836
{'lmfdb_iso': '61710.b', 'p': 19, 'prec': 20, 'unit': 140282454193762608754633, 'val': 1}
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id: 3136839
{'lmfdb_iso': '61710.b', 'p': 23, 'prec': 20, 'unit': 34459452930952813167901530, 'val': 1}
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id: 3136832
{'lmfdb_iso': '61710.b', 'p': 29, 'prec': 20, 'unit': 4221454686135072870636577915, 'val': 1}
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id: 3136828
{'lmfdb_iso': '61710.b', 'p': 37, 'prec': 20, 'unit': 80429959194096657974751147616, 'val': 1}
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id: 3136830
{'lmfdb_iso': '61710.b', 'p': 41, 'prec': 20, 'unit': 2504627624103493357575376590605, 'val': 1}
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id: 3136831
{'lmfdb_iso': '61710.b', 'p': 43, 'prec': 20, 'unit': 5354947674525583613480667790847, 'val': 1}
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id: 3136842
{'lmfdb_iso': '61710.b', 'p': 47, 'prec': 20, 'unit': 31797570908866726643571237570967, 'val': 1}
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id: 3136837
{'lmfdb_iso': '61710.b', 'p': 53, 'prec': 20, 'unit': 351803983922658132156890576964618, 'val': 1}
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id: 3136835
{'lmfdb_iso': '61710.b', 'p': 59, 'prec': 20, 'unit': 825258638878937222120687992721307, 'val': 1}
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id: 3136843
{'lmfdb_iso': '61710.b', 'p': 61, 'prec': 20, 'unit': 1184200177649502107447533736524492, 'val': 1}
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id: 3136827
{'lmfdb_iso': '61710.b', 'p': 67, 'prec': 20, 'unit': 35454319592573263258983510786851356, 'val': 1}
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id: 3136841
{'lmfdb_iso': '61710.b', 'p': 71, 'prec': 20, 'unit': 144064718158737588281268647754951574, 'val': 1}
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id: 3136838
{'lmfdb_iso': '61710.b', 'p': 73, 'prec': 20, 'unit': 84863698549058864017639791035510250, 'val': 1}
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id: 3136834
{'lmfdb_iso': '61710.b', 'p': 79, 'prec': 20, 'unit': 593610480885649398290662013346000379, 'val': 1}
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id: 3136826
{'lmfdb_iso': '61710.b', 'p': 83, 'prec': 20, 'unit': 2525888569343805630049995374302305126, 'val': 1}
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id: 3136840
{'lmfdb_iso': '61710.b', 'p': 89, 'prec': 20, 'unit': 2107325530957112322442232917934813426, 'val': 1}
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id: 3136825
{'lmfdb_iso': '61710.b', 'p': 97, 'prec': 20, 'unit': 39879747213841364492744187264175687000, 'val': 1}