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ec_curvedata • Show schema
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{'Ciso': '85800cp', 'Clabel': '85800cp1', 'Cnumber': 1, 'abc_quality': 0.9550957138890439, 'absD': 650403548437500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 1, 0, -2283908, 1807694688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 85800, 'degree': 4128768, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6989179095689011103530071071', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4], 'jinv': [-329381898333928144, 162600887109375], 'lmfdb_iso': '85800.cy', 'lmfdb_label': '85800.cy4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -91356, 14498100], '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.1.2', '78.6.0.?', '156.12.0.?', '260.12.0.?', '264.12.0.?', '440.12.0.?', '780.24.0.?', '1144.12.0.?', '1320.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2239132729641663699526780922', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4321008329785540501078060262', 'prec': 100}, 'szpiro_ratio': 4.943286959334689, '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': '0.0045263662253928397135707376473', 'prec': 110}, 'conductor': 85800, 'gens': [[-602, 54450, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2239132729641663699526780922', 'prec': 100}], 'lmfdb_label': '85800.cy4', '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': 224, 'torsion_generators': [[-1812, 0, 1]], 'xcoord_integral_points': [-1812, -602, 1324, 4438]}
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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.cy4'}
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ec_torsion_growth • Show schema
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id: 4022986
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '85800.cy4', 'torsion': [4]}
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id: 4022987
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '85800.cy4', 'torsion': [4]}
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id: 4022985
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 2]}
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id: 4022988
{'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 4]}
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id: 4022990
{'degree': 8, 'field': [-116815, 17160, 132074, -25168, -9726, -1144, -86, 0, 1], 'lmfdb_label': '85800.cy4', 'torsion': [8]}
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id: 4022992
{'degree': 8, 'field': [-3675, 0, -40, 0, 210, 0, 0, 0, 1], 'lmfdb_label': '85800.cy4', 'torsion': [6]}
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id: 4022989
{'degree': 8, 'field': [165, -180, 696, 318, 169, 34, 24, -2, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 4]}
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id: 4022991
{'degree': 8, 'field': [462190, -80620, -28586, 3536, 1879, -208, -14, -4, 1], 'lmfdb_label': '85800.cy4', 'torsion': [8]}
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id: 4022993
{'degree': 16, 'field': [19600, 0, 225920, 0, 433276, 0, 68432, 0, 21049, 0, 3536, 0, 394, 0, 32, 0, 1], 'lmfdb_label': '85800.cy4', 'torsion': [4, 4]}
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id: 4022998
{'degree': 16, 'field': [13416336, -51581952, 45692640, 10970880, -3511560, -2242296, 540652, 166840, -22395, -22960, 15152, -6384, 1610, -280, 60, -8, 1], 'lmfdb_label': '85800.cy4', 'torsion': [12]}
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id: 4022996
{'degree': 16, 'field': [764557200, -396172800, 327598560, 139269120, -74877960, 6080760, -1526420, -735800, 590661, -307888, 99488, -22176, 4970, -616, 108, -8, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 6]}
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id: 4022997
{'degree': 16, 'field': [13778308496, 3325965568, -3383820320, 131756160, -103255400, 37397864, -679028, -8850920, 700485, 926800, -105808, -41104, 4970, 840, -100, -8, 1], 'lmfdb_label': '85800.cy4', 'torsion': [12]}
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id: 4022994
{'degree': 16, 'field': [38893588600, 7583772800, -7838588680, 461909160, -104709214, -171295292, 91227550, -31545600, 10834561, -2096040, 552286, -75760, 15296, -1260, 200, -8, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 8]}
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id: 4022995
{'degree': 16, 'field': [104086245376, 0, -33212205056, 0, 43022211584, 0, 111748416, 0, 4479620, 0, 278616, 0, 2024, 0, 4, 0, 1], 'lmfdb_label': '85800.cy4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 2093549
{'conductor': 85800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '85800.cy4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2093550
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '85800.cy4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 2093551
{'conductor': 85800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '85800.cy4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2093552
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '85800.cy4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2093553
{'conductor': 85800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '85800.cy4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2229200
{'adelic_gens': [[1, 0, 8, 1], [13996, 6865, 12695, 6], [1, 8, 0, 1], [3011, 9870, 10730, 9011], [1, 4, 4, 17], [2296, 3435, 5725, 6866], [6863, 0, 0, 17159], [15881, 5580, 2150, 431], [7, 6, 17154, 17155], [17153, 8, 17152, 9], [7801, 3440, 7180, 13761]], 'adelic_image': '17160.48.0.?', 'conductor': 85800, 'lmfdb_label': '85800.cy4', 'prime': 0}
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id: 350146
{'conductor': 85800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '85800.cy4', '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}