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ec_curvedata • Show schema
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{'Ciso': '14400w', 'Clabel': '14400w1', 'Cnumber': 1, 'abc_quality': 1.2007386141796184, 'absD': 295245000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, 825, -24500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14400, 'degree': 12288, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88325408304026085915664294217', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [85184, 405], 'lmfdb_iso': '14400.cs', 'lmfdb_label': '14400.cs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 15, -63], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '20.12.0.h.1', '24.24.0-24.y.1.11', '40.24.0-20.h.1.4', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81734460779081682854997540363', 'prec': 107}, 'szpiro_ratio': 3.5233483568443207, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, 0, 0, 2, 6, -4, -8, -2, -4, 10, -2, 4, -8, 2, -8, 2, 12, 8, 14, 12, -4, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 14400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '14400.cs', 'trace_hash': 855576537056804149}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17092880297002410939398137127', 'prec': 103}, 'conductor': 14400, 'gens': [], 'heights': [], 'lmfdb_label': '14400.cs4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48990673121411005868534553753', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9596269248564402347413821501068949212', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[20, 0, 1]], 'xcoord_integral_points': [20]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '14400.cs4'}
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ec_torsion_growth • Show schema
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id: 739304
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [4]}
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id: 739303
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 2]}
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id: 739305
{'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [4]}
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id: 739306
{'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 4]}
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id: 739310
{'degree': 8, 'field': [-2700, 0, -1320, 0, -180, 0, 0, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [6]}
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id: 739307
{'degree': 8, 'field': [36, 0, -24, 0, 76, 0, 16, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 4]}
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id: 739309
{'degree': 8, 'field': [46, -88, 196, -104, 38, -8, 4, -4, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 8]}
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id: 739308
{'degree': 8, 'field': [211, 144, -38, -188, 35, 68, -18, -4, 1], 'lmfdb_label': '14400.cs4', 'torsion': [8]}
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id: 739312
{'degree': 16, 'field': [145, -1900, 11020, -32260, 61376, -86080, 91872, -76156, 50249, -26864, 11964, -4292, 1322, -308, 64, -8, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 8]}
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id: 739311
{'degree': 16, 'field': [841, 0, 1280, 0, -694, 0, -1140, 0, 311, 0, 540, 0, 146, 0, 20, 0, 1], 'lmfdb_label': '14400.cs4', 'torsion': [4, 4]}
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id: 739313
{'degree': 16, 'field': [2889, -4932, 8766, -4392, 15366, 5064, 3234, 8920, -2065, -100, 746, -928, 344, -148, 44, -4, 1], 'lmfdb_label': '14400.cs4', 'torsion': [2, 6]}
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id: 739314
{'degree': 16, 'field': [115425, 267300, 82620, -202500, -151470, 9720, 12240, 5580, 20736, 1716, -4956, -756, 610, 104, -36, -4, 1], 'lmfdb_label': '14400.cs4', 'torsion': [12]}
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id: 739315
{'degree': 16, 'field': [12857746, -23568232, 40884684, -35554672, 25374160, -12395880, 5437132, -1621576, 501468, -89500, 25828, -3024, 1366, -148, 60, -4, 1], 'lmfdb_label': '14400.cs4', 'torsion': [12]}
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ec_localdata • Show schema
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id: 315868
{'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '14400.cs4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 315869
{'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '14400.cs4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 315870
{'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14400.cs4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1759675
{'adelic_gens': [[113, 8, 112, 9], [7, 6, 114, 115], [92, 119, 49, 114], [79, 112, 76, 87], [37, 42, 70, 13], [1, 0, 8, 1], [1, 4, 4, 17], [48, 113, 97, 84], [1, 8, 0, 1]], 'adelic_image': '120.48.0.?', 'conductor': 14400, 'lmfdb_label': '14400.cs4', 'prime': 0}
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id: 68091
{'conductor': 14400, 'elladic_image': '8.12.0.14', 'lmfdb_label': '14400.cs4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 14400.cs does not appear in ec_padic