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ec_curvedata • Show schema
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{'Ciso': '48510by', 'Clabel': '48510by2', 'Cnumber': 2, 'abc_quality': 0.964173565933233, 'absD': 268158163047714843750, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -2083734, -1399872510], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 48510, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6362558866571158926457738884', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2], 'jinv': [-11666347147400401, 3126621093750], 'lmfdb_iso': '48510.bo', 'lmfdb_label': '48510.bo2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4725, -153183], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '1540.6.0.?', '9240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83183532865713936526408168868', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1139946677954043943954748982', 'prec': 100}, 'szpiro_ratio': 5.157148477236994, '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, -1, 0, -1, 1, 0, -4, 0, 0, 1, -4, 0, -8, 1], 'aplist': [-1, 0, 1, 0, 1, -4, -4, -8, -2, 6, 4, 4, 2, 4, -4, -2, 0, -10, 14, -8, 10, 4, -4, 16, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 48510, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '48510.bo', 'trace_hash': 1600018268105130713}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0051307072012106958147851265196', 'prec': 110}, 'conductor': 48510, 'gens': [[2361, 81507, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.83183532865713936526408168868', 'prec': 103}], 'lmfdb_label': '48510.bo2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.061962211850455086271149852824', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1233885487157281762717480523169235127', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[6819, -6819, 2]], 'xcoord_integral_points': [2361, 3111, 6421, 11811]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '48510.bo2'}
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ec_torsion_growth • Show schema
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id: 2361360
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [2, 2]}
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id: 2361361
{'degree': 4, 'field': [-24, 0, 38, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [4]}
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id: 2361364
{'degree': 8, 'field': [-325, 4935, -9113, 5888, -1224, 106, -13, -3, 1], 'lmfdb_label': '48510.bo2', 'torsion': [6]}
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id: 2361362
{'degree': 8, 'field': [46656, 0, 15360, 0, 2068, 0, 100, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [2, 4]}
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id: 2361363
{'degree': 8, 'field': [57625, 5520, 34720, -3312, 1602, -192, -32, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [2, 4]}
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id: 2361365
{'degree': 16, 'field': [15681600, 0, -5227200, 0, 36889380, 0, -12850200, 0, -5681694, 0, 711636, 0, -19889, 0, -34, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [8]}
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id: 2361366
{'degree': 16, 'field': [4032758016, 0, 2153812248, 0, 435449476, 0, 39032616, 0, 1527036, 0, 56084, 0, 2976, 0, 12, 0, 1], 'lmfdb_label': '48510.bo2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1158799
{'conductor': 48510, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '48510.bo2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1158800
{'conductor': 48510, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '48510.bo2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1158801
{'conductor': 48510, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '48510.bo2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 1158802
{'conductor': 48510, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '48510.bo2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1158803
{'conductor': 48510, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '48510.bo2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1986895
{'adelic_gens': [[1, 2, 2, 5], [5281, 4, 1322, 9], [2521, 4, 5042, 9], [1, 4, 0, 1], [5777, 3466, 3464, 5775], [3082, 1, 3079, 0], [2, 1, 4619, 0], [1, 0, 4, 1], [3, 4, 8, 11], [3697, 4, 7394, 9], [9237, 4, 9236, 5]], 'adelic_image': '9240.12.0.?', 'conductor': 48510, 'lmfdb_label': '48510.bo2', 'prime': 0}
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id: 209001
{'conductor': 48510, 'elladic_image': '2.3.0.1', 'lmfdb_label': '48510.bo2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 2434681
{'lmfdb_iso': '48510.bo', 'p': 13, 'prec': 20, 'unit': 2457600568308837416, 'val': 1}
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id: 2434683
{'lmfdb_iso': '48510.bo', 'p': 17, 'prec': 20, 'unit': 162159595019273863827547, 'val': 1}
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id: 2434684
{'lmfdb_iso': '48510.bo', 'p': 19, 'prec': 20, 'unit': 1325763347229023638118283, 'val': 1}
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id: 2434687
{'lmfdb_iso': '48510.bo', 'p': 23, 'prec': 20, 'unit': 50446060170075669596518659, 'val': 1}
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id: 2434680
{'lmfdb_iso': '48510.bo', 'p': 29, 'prec': 20, 'unit': 4436752085319577675359178293, 'val': 1}
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id: 2434691
{'lmfdb_iso': '48510.bo', 'p': 31, 'prec': 20, 'unit': 7652681936092946230072768168, 'val': 1}
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id: 2434676
{'lmfdb_iso': '48510.bo', 'p': 37, 'prec': 20, 'unit': 351616406055588398108569166816, 'val': 1}
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id: 2434678
{'lmfdb_iso': '48510.bo', 'p': 41, 'prec': 20, 'unit': 2862481004313363071152841602948, 'val': 1}
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id: 2434679
{'lmfdb_iso': '48510.bo', 'p': 43, 'prec': 20, 'unit': 8346125328785486275539590479046, 'val': 1}
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id: 2434682
{'lmfdb_iso': '48510.bo', 'p': 47, 'prec': 20, 'unit': 58539296665240338270113172629642, 'val': 1}
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id: 2434685
{'lmfdb_iso': '48510.bo', 'p': 53, 'prec': 20, 'unit': 219804637465211245641690744447588, 'val': 1}
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id: 2434690
{'lmfdb_iso': '48510.bo', 'p': 61, 'prec': 20, 'unit': 4389723982803674660304109246984091, 'val': 1}
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id: 2434675
{'lmfdb_iso': '48510.bo', 'p': 67, 'prec': 20, 'unit': 22276526717854687439398590295018282, 'val': 1}
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id: 2434677
{'lmfdb_iso': '48510.bo', 'p': 71, 'prec': 20, 'unit': 67614846804382629876337843018756550, 'val': 1}
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id: 2434686
{'lmfdb_iso': '48510.bo', 'p': 73, 'prec': 20, 'unit': 39285625173767446599235534463278558, 'val': 1}
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id: 2434689
{'lmfdb_iso': '48510.bo', 'p': 79, 'prec': 20, 'unit': 594599165382775560448826163832751537, 'val': 1}
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id: 2434674
{'lmfdb_iso': '48510.bo', 'p': 83, 'prec': 20, 'unit': 1658502338920825801350465230361494936, 'val': 1}
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id: 2434688
{'lmfdb_iso': '48510.bo', 'p': 89, 'prec': 20, 'unit': 9083212360425241580237495709708099197, 'val': 1}
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id: 2434673
{'lmfdb_iso': '48510.bo', 'p': 97, 'prec': 20, 'unit': 9103378157334784338727288488536443290, 'val': 1}