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ec_curvedata • Show schema
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{'Ciso': '154800di', 'Clabel': '154800di2', 'Cnumber': 2, 'abc_quality': 0.9399296725264352, 'absD': 1941006240000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [0, 0, 0, -318675, -17360750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154800, 'degree': 1769472, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2000883517557629786933572243', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 154, 'isogeny_degrees': [1, 2], 'jinv': [76711450249, 41602500], 'lmfdb_iso': '154800.fy', 'lmfdb_label': '154800.fy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -89, -88], 'min_quad_twist_disc': 60, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.b.1', '120.24.0.?', '344.12.0.?', '516.12.0.?', '1032.24.0.?', '1720.24.0.?', '2580.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4352146107721338991938978424', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15291607064471263627812281777', 'prec': 103}, 'szpiro_ratio': 4.153125037090711, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 4, 0, 2, 2, -4, 0, -2, 0, -10, 6, -1, 8, 2, 0, 2, -4, 8, -10, 8, -16, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 154800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '154800.fy', 'trace_hash': 532448549616486797}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.012275170645658716510579872064', 'prec': 107}, 'conductor': 154800, 'gens': [[2111, 93366, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4352146107721338991938978424', 'prec': 100}], 'lmfdb_label': '154800.fy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21424273144751510625228198087', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3156417937221170344370105961327303386', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-55, 0, 1], [590, 0, 1]], 'xcoord_integral_points': [-535, -55, 590, 2111]}
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lmfdb_label 154800.fy2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6945139
{'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 4]}
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id: 6945140
{'degree': 4, 'field': [841, 0, 28, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 4]}
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id: 6945141
{'degree': 4, 'field': [961, 0, -67, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 4]}
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id: 6945142
{'degree': 8, 'field': [-683386, -177312, 134650, 35326, 2580, -766, -67, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 6]}
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id: 6945146
{'degree': 16, 'field': [-6443600, 53664000, -125543040, 131621280, -47652899, -23047914, 23156046, -4220106, -1027458, 342624, -13494, 4902, -1046, -258, 18, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 8]}
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id: 6945144
{'degree': 16, 'field': [7750656, 0, -5262336, 0, 2565888, 0, 676416, 0, 83428, 0, 11552, 0, 972, 0, 32, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 8]}
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id: 6945143
{'degree': 16, 'field': [123610545, -89775900, -19840014, 13050384, 7809760, -4348288, 631166, 6072, 111837, -39008, 2402, -368, 716, -92, 12, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [4, 4]}
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id: 6945145
{'degree': 16, 'field': [22753007281, 0, 28072795200, 0, 10186872232, 0, 859224240, 0, 41004258, 0, 1275840, 0, 24232, 0, 240, 0, 1], 'lmfdb_label': '154800.fy2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 3829052
{'conductor': 154800, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '154800.fy2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3829053
{'conductor': 154800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '154800.fy2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3829054
{'conductor': 154800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '154800.fy2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3829055
{'conductor': 154800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154800.fy2', 'prime': 43, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2666807
{'adelic_gens': [[1, 4, 0, 1], [3439, 1030, 0, 5159], [4899, 1030, 1040, 2069], [1, 0, 4, 1], [5157, 4, 5156, 5], [2063, 0, 0, 5159], [1551, 4130, 1030, 1031], [4561, 3100, 2930, 1041]], 'adelic_image': '5160.48.0.?', 'conductor': 154800, 'lmfdb_label': '154800.fy2', 'prime': 0}
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id: 592185
{'conductor': 154800, 'elladic_image': '2.6.0.1', 'lmfdb_label': '154800.fy2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 154800.fy does not appear in ec_padic