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ec_curvedata • Show schema
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{'Ciso': '585f', 'Clabel': '585f1', 'Cnumber': 1, 'abc_quality': 0.9386701274898751, 'absD': 3838185, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 0, -990, -11745], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 585, 'degree': 192, 'elladic_images': ['32.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.35242885100879811383735524907', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [147281603041, 5265], 'lmfdb_iso': '585.g', 'lmfdb_label': '585.g6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110, 435], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.2', '16.24.0.g.1', '24.24.0-8.n.1.12', '32.48.0-16.g.1.8', '40.24.0.cb.2', '48.48.0-16.g.1.13', '80.48.0.?', '96.96.0.?', '104.24.0.?', '120.48.0.?', '130.6.0.?', '160.96.0.?', '208.96.0.?', '240.96.0.?', '260.12.0.?', '312.48.0.?', '416.192.2.?', '480.192.1.?', '520.48.0.?', '624.192.2.?', '780.24.0.?', '1040.192.1.?', '1248.384.5.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5448552134147450120533122127', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19687729332525673186026736939', 'prec': 107}, 'szpiro_ratio': 5.070504413128264, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, -1, -1, 0, 0, -3, 0, -1, -4, 0, 1, 0, 0, -1, -2, 0, -4, 1], 'aplist': [1, 0, -1, 0, -4, 1, -2, -4, -8, 2, -8, 6, 6, -4, 8, -6, 12, -2, -4, 0, -6, 16, 4, -10, 18], 'class_deg': 16, 'class_size': 8, 'conductor': 585, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '585.g', 'trace_hash': 2111954834260030367}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.49417888991211607685530948852', 'prec': 103}, 'conductor': 585, 'gens': [[238, 3513, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5448552134147450120533122127', 'prec': 100}], 'lmfdb_label': '585.g6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85108145292620109686565595561', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3595617156492210218470390653000644197', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-18, 9, 1]], 'xcoord_integral_points': [-18, 238]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '585.g6'}
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ec_torsion_growth • Show schema
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id: 26806
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 2]}
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id: 26808
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [4]}
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id: 26807
{'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [4]}
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id: 26810
{'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [8]}
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id: 26811
{'degree': 4, 'field': [9, 3, 4, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [8]}
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id: 26809
{'degree': 4, 'field': [256, 16, 17, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 4]}
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id: 26817
{'degree': 8, 'field': [3, -219, 264, -81, 27, 0, 4, -4, 1], 'lmfdb_label': '585.g6', 'torsion': [6]}
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id: 26815
{'degree': 8, 'field': [9, 12, 10, 14, 5, -10, -1, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [16]}
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id: 26814
{'degree': 8, 'field': [16, 0, 36, 0, 77, 0, 9, 0, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 8]}
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id: 26812
{'degree': 8, 'field': [256, -32, -194, -326, -231, 2, 4, -4, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 4]}
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id: 26816
{'degree': 8, 'field': [841, 493, -146, 313, 213, -49, -14, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [16]}
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id: 26813
{'degree': 8, 'field': [125316, 0, 22728, 0, 1669, 0, 62, 0, 1], 'lmfdb_label': '585.g6', 'torsion': [8]}
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id: 26823
{'degree': 16, 'field': [-285841, -1718158, -4832499, -5570951, -2362044, 116814, 153921, -138031, -49599, 7784, -2535, -2589, 252, 133, -33, -4, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 6]}
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id: 26825
{'degree': 16, 'field': [9, 0, -219, 0, 5311, 0, -438, 0, 39, 0, -146, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '585.g6', 'torsion': [12]}
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id: 26821
{'degree': 16, 'field': [81, -108, 126, -384, -89, 1090, 632, 599, 1014, 452, 163, 184, 6, -41, -4, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 16]}
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id: 26820
{'degree': 16, 'field': [1681, -1476, -57, -2008, 2023, -268, 1086, -954, 133, -282, 214, -26, 38, -24, 2, -2, 1], 'lmfdb_label': '585.g6', 'torsion': [16]}
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id: 26822
{'degree': 16, 'field': [5697, -32481, 69660, -48573, 12798, 3285, 801, -2052, 522, 633, -228, -33, 31, 17, -6, -1, 1], 'lmfdb_label': '585.g6', 'torsion': [32]}
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id: 26824
{'degree': 16, 'field': [33489, 0, 41961, 0, 45535, 0, 11958, 0, 2415, 0, 458, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '585.g6', 'torsion': [12]}
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id: 26818
{'degree': 16, 'field': [65536, 8192, 512, 35904, -8252, -5324, 9234, -3598, 453, 734, -504, 178, -17, -12, 8, -4, 1], 'lmfdb_label': '585.g6', 'torsion': [4, 4]}
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id: 26819
{'degree': 16, 'field': [5764801, 0, -3286969, 0, 1019405, 0, -252066, 0, 57254, 0, -14706, 0, 2045, 0, -49, 0, 1], 'lmfdb_label': '585.g6', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 6881
{'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '585.g6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6882
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.g6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6883
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.g6', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1668498
{'adelic_gens': [[2057, 6214, 2538, 2869], [1, 0, 32, 1], [5463, 2, 5434, 6223], [1, 32, 0, 1], [5, 28, 68, 381], [5024, 29, 1579, 2562], [6209, 32, 6208, 33], [23, 18, 3678, 4235], [4321, 32, 74, 479], [4816, 25, 2999, 3186]], 'adelic_image': '6240.768.13.?', 'conductor': 585, 'lmfdb_label': '585.g6', 'prime': 0}
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id: 2649
{'conductor': 585, 'elladic_image': '32.48.0.3', 'lmfdb_label': '585.g6', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 9699
{'lmfdb_iso': '585.g', 'p': 11, 'prec': 20, 'unit': 16013100267972068784, 'val': 1}
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id: 9700
{'lmfdb_iso': '585.g', 'p': 17, 'prec': 20, 'unit': 35120177210824288338119, 'val': 1}
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id: 9701
{'lmfdb_iso': '585.g', 'p': 19, 'prec': 20, 'unit': 651052145223180998370903, 'val': 1}
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id: 9705
{'lmfdb_iso': '585.g', 'p': 23, 'prec': 20, 'unit': 58345023726429919312042012, 'val': 1}
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id: 9697
{'lmfdb_iso': '585.g', 'p': 29, 'prec': 20, 'unit': 910558596440296042638800282, 'val': 1}
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id: 9709
{'lmfdb_iso': '585.g', 'p': 31, 'prec': 20, 'unit': 13817312446284561775532590957, 'val': 1}
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id: 9694
{'lmfdb_iso': '585.g', 'p': 37, 'prec': 20, 'unit': 372065588683631777328460308160, 'val': 1}
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id: 9695
{'lmfdb_iso': '585.g', 'p': 41, 'prec': 20, 'unit': 43784025659963139909210835955, 'val': 2}
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id: 9696
{'lmfdb_iso': '585.g', 'p': 43, 'prec': 20, 'unit': 227052847789474296807602942361, 'val': 2}
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id: 9707
{'lmfdb_iso': '585.g', 'p': 47, 'prec': 20, 'unit': 26033595884365580367573620402312, 'val': 1}
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id: 9702
{'lmfdb_iso': '585.g', 'p': 53, 'prec': 20, 'unit': 276452619783216140586934914074453, 'val': 1}
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id: 9703
{'lmfdb_iso': '585.g', 'p': 59, 'prec': 20, 'unit': 4024267493321312974300292229703454, 'val': 1}
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id: 9708
{'lmfdb_iso': '585.g', 'p': 61, 'prec': 20, 'unit': 1331573992257849700893633124218031, 'val': 1}
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id: 9693
{'lmfdb_iso': '585.g', 'p': 67, 'prec': 20, 'unit': 21498949128845455076595362464099008, 'val': 1}
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id: 9704
{'lmfdb_iso': '585.g', 'p': 73, 'prec': 20, 'unit': 185522389025820476607965556909581512, 'val': 1}
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id: 9698
{'lmfdb_iso': '585.g', 'p': 79, 'prec': 20, 'unit': 1108961753690929885861261163159428217, 'val': 1}
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id: 9692
{'lmfdb_iso': '585.g', 'p': 83, 'prec': 20, 'unit': 1478906946209906497274382548179692729, 'val': 1}
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id: 9706
{'lmfdb_iso': '585.g', 'p': 89, 'prec': 20, 'unit': 1071959568932041080113490200328008244, 'val': 1}
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id: 9691
{'lmfdb_iso': '585.g', 'p': 97, 'prec': 20, 'unit': 45858660479805897530536489361898090612, 'val': 1}