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ec_curvedata • Show schema
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{'Ciso': '6240k', 'Clabel': '6240k2', 'Cnumber': 2, 'abc_quality': 0.9303748098097171, 'absD': 37440000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -1256, -17556], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 3072, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45974667067911783794301842189', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [428320044872, 73125], 'lmfdb_iso': '6240.x', 'lmfdb_label': '6240.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1256, 17556], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.bb.1.6', '52.12.0-4.c.1.1', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.060113714740841144119905669203', 'prec': 110}, 'szpiro_ratio': 3.778745940132685, '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, -1, 0, 4, 0, 1, 0, 4, 0, -1, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, 1, -1, 4, 4, -1, 2, -4, 0, 6, 0, 10, 2, -4, 4, -6, -4, -2, -4, -8, -2, 16, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.x', 'trace_hash': 386388929047362836}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.39872100535973955609698126831', 'prec': 103}, 'conductor': 6240, 'gens': [], 'heights': [], 'lmfdb_label': '6240.x1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.80191397714045961874089877717', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2076559085618384749635951086998400321', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-21, 0, 1]], 'xcoord_integral_points': [-21]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6240.x1'}
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ec_torsion_growth • Show schema
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id: 324984
{'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 2]}
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id: 324986
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [4]}
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id: 324985
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [4]}
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id: 324987
{'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 4]}
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id: 324991
{'degree': 8, 'field': [-1875, 0, 6200, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [6]}
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id: 324990
{'degree': 8, 'field': [27556, 0, 16160, 0, 1932, 0, 80, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [8]}
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id: 324988
{'degree': 8, 'field': [52900, 0, -5648, 0, -444, 0, -8, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 4]}
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id: 324989
{'degree': 8, 'field': [75401, -14452, 15576, -2296, 1269, -148, 54, -4, 1], 'lmfdb_label': '6240.x1', 'torsion': [8]}
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id: 324997
{'degree': 16, 'field': [68121, 0, 741636, 0, 633852, 0, 69908, 0, 11570, 0, -1468, 0, -68, 0, 4, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [12]}
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id: 324996
{'degree': 16, 'field': [37919782, -14495940, 16557920, 25100952, 27192016, 15550500, 10086374, 4678440, 1696435, 395952, 61238, 5520, -440, -372, -28, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [12]}
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id: 324993
{'degree': 16, 'field': [167870849, 65557564, -52873280, -23682924, 7785880, 4433432, -786932, -531596, 61329, 41392, -2224, -2980, 254, 84, 8, -8, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 8]}
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id: 324992
{'degree': 16, 'field': [187388721, 0, 0, 0, 0, 0, 0, 0, 465426, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [4, 4]}
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id: 324994
{'degree': 16, 'field': [2892718656, 0, -666807552, 0, 120092544, 0, -5038848, 0, 175284, 0, -10368, 0, 972, 0, 0, 0, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 8]}
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id: 324995
{'degree': 16, 'field': [45460905489, -60236056656, 28111822380, -10747307472, 2749789788, -250019112, 109585876, 893000, -2672182, -479392, -79284, 13184, 3500, 264, -76, -8, 1], 'lmfdb_label': '6240.x1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 124641
{'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6240.x1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 124642
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6240.x1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 124643
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6240.x1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 124644
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.x1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1704900
{'adelic_gens': [[447, 452, 450, 193], [513, 8, 512, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [164, 1, 423, 6], [417, 8, 108, 33], [456, 203, 329, 358], [7, 6, 514, 515]], 'adelic_image': '520.48.0.?', 'conductor': 6240, 'lmfdb_label': '6240.x1', 'prime': 0}
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id: 30659
{'conductor': 6240, 'elladic_image': '8.12.0.7', 'lmfdb_label': '6240.x1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6240.x does not appear in ec_padic