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ec_curvedata • Show schema
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{'Ciso': '85800cp', 'Clabel': '85800cp4', 'Cnumber': 4, 'abc_quality': 1.0133087662608755, 'absD': 549673581600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 1, 0, -641521408, 6253886494688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 85800, 'degree': 16515072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3920650901288464197702392286', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4], 'jinv': [912446049969377120252018, 17177299425], 'lmfdb_iso': '85800.cy', 'lmfdb_label': '85800.cy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25660856, 50041356300], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0-4.c.1.1', '264.12.0.?', '312.12.0.?', '440.12.0.?', '520.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8956530918566654798107123689', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9519612183985130321707301173', 'prec': 100}, 'szpiro_ratio': 6.3779139050904385, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 4, 0, 1, 0, -1, 0, -1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 1, 0, 4, -1, -1, 2, 4, 4, 6, 0, -10, -10, -4, 0, -10, -12, -2, -8, -8, 2, -16, 12, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 85800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '85800.cy', 'trace_hash': 2017175821740557628}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0011315915563482099283926844118', 'prec': 110}, 'conductor': 85800, 'gens': [[59717, 515025, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8956530918566654798107123689', 'prec': 100}], 'lmfdb_label': '85800.cy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15088738200836683176820351169', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.341691895519864310388472737020820821', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [[14623, 0, 1]], 'xcoord_integral_points': [14623]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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, 3, 0]}, 'iwp0': 0, 'lmfdb_label': '85800.cy1'}
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ec_torsion_growth • Show schema
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id: 4023022
{'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [4]}
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id: 4023021
{'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 2]}
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id: 4023023
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [4]}
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id: 4023024
{'degree': 4, 'field': [121, 0, -88, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 4]}
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id: 4023028
{'degree': 8, 'field': [-3675, 0, -40, 0, 210, 0, 0, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [6]}
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id: 4023026
{'degree': 8, 'field': [187526, 183320, -168012, -30376, 14589, 716, -234, -4, 1], 'lmfdb_label': '85800.cy1', 'torsion': [8]}
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id: 4023027
{'degree': 8, 'field': [266256, 0, -13140, 0, 1257, 0, -30, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [8]}
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id: 4023025
{'degree': 8, 'field': [1115136, 0, 0, 0, 1848, 0, 0, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 4]}
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id: 4023029
{'degree': 16, 'field': [4793485225, 0, 383347280, 0, -53345264, 0, -3023272, 0, 368614, 0, 1904, 0, -896, 0, 8, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [4, 4]}
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id: 4023031
{'degree': 16, 'field': [6511521636, 0, -308629214928, 0, 82956435084, 0, -7672436832, 0, 325511269, 0, -7100212, 0, 81342, 0, -460, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 8]}
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id: 4023034
{'degree': 16, 'field': [8760960000, 0, -2206464000, 0, -96262400, 0, -8332800, 0, 1958400, 0, -176480, 0, 6720, 0, -120, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [12]}
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id: 4023030
{'degree': 16, 'field': [77306797681, 0, -6890585130, 0, -152122907, 0, 50123130, 0, 4253208, 0, 230970, 0, 8533, 0, 150, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 8]}
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id: 4023033
{'degree': 16, 'field': [504139760784, 0, -592377458112, 0, 36395425440, 0, -1847929424, 0, 53719160, 0, -1305656, 0, 19228, 0, -220, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [12]}
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id: 4023032
{'degree': 16, 'field': [395340886678761, 0, -42719478903648, 0, 2178063983428, 0, -66770034576, 0, 1297097790, 0, -16044416, 0, 122388, 0, -528, 0, 1], 'lmfdb_label': '85800.cy1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2093564
{'conductor': 85800, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '85800.cy1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 2093565
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '85800.cy1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 2093566
{'conductor': 85800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '85800.cy1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2093567
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '85800.cy1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2093568
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '85800.cy1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2229197
{'adelic_gens': [[17153, 8, 17152, 9], [7496, 3435, 4685, 6866], [1, 8, 0, 1], [1291, 4720, 9890, 15021], [1, 0, 8, 1], [14876, 6865, 9175, 6], [7, 6, 17154, 17155], [2641, 3440, 3700, 13761], [6863, 0, 0, 17159], [15016, 9875, 3865, 7326], [1, 4, 4, 17]], 'adelic_image': '17160.48.0.?', 'conductor': 85800, 'lmfdb_label': '85800.cy1', 'prime': 0}
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id: 350143
{'conductor': 85800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '85800.cy1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 4429911
{'lmfdb_iso': '85800.cy', 'p': 7, 'prec': 20, 'unit': 72270658029887034, 'val': 0}
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id: 4429916
{'lmfdb_iso': '85800.cy', 'p': 17, 'prec': 20, 'unit': 158561257581926283203805, 'val': 1}
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id: 4429907
{'lmfdb_iso': '85800.cy', 'p': 19, 'prec': 20, 'unit': 201845357141822621579339, 'val': 1}
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id: 4429920
{'lmfdb_iso': '85800.cy', 'p': 23, 'prec': 20, 'unit': 13301005250200159578827056, 'val': 1}
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id: 4429914
{'lmfdb_iso': '85800.cy', 'p': 29, 'prec': 20, 'unit': 1737067886650622887763893329, 'val': 1}
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id: 4429910
{'lmfdb_iso': '85800.cy', 'p': 37, 'prec': 20, 'unit': 169985520034646830404788253471, 'val': 1}
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id: 4429912
{'lmfdb_iso': '85800.cy', 'p': 41, 'prec': 20, 'unit': 678661659380517226324596506476, 'val': 1}
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id: 4429913
{'lmfdb_iso': '85800.cy', 'p': 43, 'prec': 20, 'unit': 4622930402606902962871958247683, 'val': 1}
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id: 4429918
{'lmfdb_iso': '85800.cy', 'p': 53, 'prec': 20, 'unit': 536771196455603242280647164511212, 'val': 1}
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id: 4429923
{'lmfdb_iso': '85800.cy', 'p': 59, 'prec': 20, 'unit': 610009061642264718416101479988866, 'val': 1}
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id: 4429924
{'lmfdb_iso': '85800.cy', 'p': 61, 'prec': 20, 'unit': 2757837307775430590759294442588959, 'val': 1}
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id: 4429909
{'lmfdb_iso': '85800.cy', 'p': 67, 'prec': 20, 'unit': 7660096379977110949669637637427976, 'val': 1}
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id: 4429922
{'lmfdb_iso': '85800.cy', 'p': 71, 'prec': 20, 'unit': 11237368339316620291523860449366653, 'val': 1}
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id: 4429919
{'lmfdb_iso': '85800.cy', 'p': 73, 'prec': 20, 'unit': 85538795513417595711111386968308302, 'val': 1}
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id: 4429915
{'lmfdb_iso': '85800.cy', 'p': 79, 'prec': 20, 'unit': 486625042798847251941114768599111990, 'val': 1}
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id: 4429917
{'lmfdb_iso': '85800.cy', 'p': 83, 'prec': 20, 'unit': 2641518232409398575191456695822435103, 'val': 1}
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id: 4429921
{'lmfdb_iso': '85800.cy', 'p': 89, 'prec': 20, 'unit': 6182815923181952447129069916644470875, 'val': 1}
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id: 4429908
{'lmfdb_iso': '85800.cy', 'p': 97, 'prec': 20, 'unit': 40732539826502069851611725754356604052, 'val': 1}