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ec_curvedata • Show schema
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{'Ciso': '124800t', 'Clabel': '124800t2', 'Cnumber': 2, 'abc_quality': 0.9055454805653889, 'absD': 1645113600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -55133, 5369637], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 124800, 'degree': 589824, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6633520099094229814702573131', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [-72397988224, 6426225], 'lmfdb_iso': '124800.v', 'lmfdb_label': '124800.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -551, 5535], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '12.12.0-4.a.1.2', '40.12.0.g.1', '120.24.0.?', '1040.24.0.?', '3120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3377543090408676556400762403', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 41600], [5, 18, 4992], [13, 14, 9600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.049961343039103266516440171452', 'prec': 107}, 'szpiro_ratio': 3.792999518729133, '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, -2, 0, 1, 0, 2, 0, 1, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, -1, 0, -2, 2, 1, -6, -2, -6, -2, -8, -6, -10, 8, -2, 6, 6, 10, -12, 12, -2, -8, 0, -10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 124800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '124800.v', 'trace_hash': 1564008633282174953}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.035911273065293047250658473818', 'prec': 107}, 'conductor': 124800, 'gens': [[52, 1625, 1], [143, 624, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.98285357825508710406955667017', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.5528997276385064644177998388', 'prec': 100}], 'lmfdb_label': '124800.v2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.46338051965396722482851705954', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9182285902830579114665343240977142614', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-273, 0, 1]], 'xcoord_integral_points': [-273, -73, -28, 52, 143, 247, 572, 1391, 15727]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [4, 0], '13': [3, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '124800.v2'}
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ec_torsion_growth • Show schema
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id: 5690212
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [2, 2]}
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id: 5690213
{'degree': 4, 'field': [-1, 0, -6, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [4]}
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id: 5690216
{'degree': 8, 'field': [-367500, 0, -109520, 0, 2100, 0, 0, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [6]}
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id: 5690214
{'degree': 8, 'field': [81, 0, 0, 0, 22, 0, 0, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [2, 4]}
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id: 5690215
{'degree': 8, 'field': [169, 0, -168, 0, 158, 0, -24, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [2, 4]}
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id: 5690217
{'degree': 16, 'field': [6561, 0, 0, 0, -1782, 0, 0, 0, 403, 0, 0, 0, -22, 0, 0, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [4, 4]}
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id: 5690218
{'degree': 16, 'field': [1143521856, 0, -472769536, 0, 51889920, 0, 2278656, 0, -696016, 0, 25216, 0, 1440, 0, -96, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [8]}
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id: 5690219
{'degree': 16, 'field': [13865062500, 0, -6970950000, 0, 939475000, 0, -21132000, 0, 1633800, 0, -52920, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '124800.v2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3074945
{'conductor': 124800, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '124800.v2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3074946
{'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '124800.v2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3074947
{'conductor': 124800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '124800.v2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3074948
{'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '124800.v2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2478235
{'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [2081, 8, 1042, 17], [1, 8, 0, 1], [779, 3114, 0, 3119], [623, 3114, 0, 3119], [2641, 4, 0, 1], [5, 8, 48, 77], [1949, 3116, 1753, 3111], [3113, 8, 3112, 9]], 'adelic_image': '3120.48.0.?', 'conductor': 124800, 'lmfdb_label': '124800.v2', 'prime': 0}
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id: 488292
{'conductor': 124800, 'elladic_image': '4.6.0.5', 'lmfdb_label': '124800.v2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 6535954
{'lmfdb_iso': '124800.v', 'p': 7, 'prec': 20, 'unit': 4952602819571153, 'val': 2}
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id: 6535959
{'lmfdb_iso': '124800.v', 'p': 11, 'prec': 20, 'unit': 2846264435067444302, 'val': 3}
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id: 6535960
{'lmfdb_iso': '124800.v', 'p': 17, 'prec': 20, 'unit': 186989115759067373903089, 'val': 2}
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id: 6535961
{'lmfdb_iso': '124800.v', 'p': 19, 'prec': 20, 'unit': 58498862854620885423427, 'val': 2}
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id: 6535965
{'lmfdb_iso': '124800.v', 'p': 23, 'prec': 20, 'unit': 31409453859419558744062567, 'val': 2}
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id: 6535957
{'lmfdb_iso': '124800.v', 'p': 29, 'prec': 20, 'unit': 1359791381928222784179236544, 'val': 2}
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id: 6535970
{'lmfdb_iso': '124800.v', 'p': 31, 'prec': 20, 'unit': 9913578285525530675226713748, 'val': 2}
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id: 6535953
{'lmfdb_iso': '124800.v', 'p': 37, 'prec': 20, 'unit': 313330431496742324849834128202, 'val': 2}
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id: 6535955
{'lmfdb_iso': '124800.v', 'p': 41, 'prec': 20, 'unit': 1279832838332077068486440667968, 'val': 2}
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id: 6535956
{'lmfdb_iso': '124800.v', 'p': 43, 'prec': 20, 'unit': 5851873691794829889584040823789, 'val': 2}
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id: 6535968
{'lmfdb_iso': '124800.v', 'p': 47, 'prec': 20, 'unit': 10537916363487023327662845398540, 'val': 2}
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id: 6535962
{'lmfdb_iso': '124800.v', 'p': 53, 'prec': 20, 'unit': 365452466007641960379130176618946, 'val': 2}
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id: 6535963
{'lmfdb_iso': '124800.v', 'p': 59, 'prec': 20, 'unit': 3703953917367599430694522200409861, 'val': 2}
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id: 6535969
{'lmfdb_iso': '124800.v', 'p': 61, 'prec': 20, 'unit': 7033621057175270712946082571243797, 'val': 2}
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id: 6535952
{'lmfdb_iso': '124800.v', 'p': 67, 'prec': 20, 'unit': 8947947618732571196179071588590930, 'val': 2}
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id: 6535967
{'lmfdb_iso': '124800.v', 'p': 71, 'prec': 20, 'unit': 32194946942863798112405885104701209, 'val': 2}
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id: 6535964
{'lmfdb_iso': '124800.v', 'p': 73, 'prec': 20, 'unit': 39480690690955505125913604542586274, 'val': 2}
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id: 6535958
{'lmfdb_iso': '124800.v', 'p': 79, 'prec': 20, 'unit': 643739504808964983726499367833498254, 'val': 2}
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id: 6535966
{'lmfdb_iso': '124800.v', 'p': 89, 'prec': 20, 'unit': 10590877160970709957142489791292483929, 'val': 2}
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id: 6535951
{'lmfdb_iso': '124800.v', 'p': 97, 'prec': 20, 'unit': 1187946725040744825820834499352450977, 'val': 2}