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ec_curvedata • Show schema
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{'Ciso': '32400bq', 'Clabel': '32400bq4', 'Cnumber': 4, 'abc_quality': 1.1259568215438134, 'absD': 4353564672000000, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 2520, 'ainvs': [0, 0, 0, -3877875, 2939267250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 32400, 'degree': 435456, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3165403599886905242460746573', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 21, 'iso_nlabel': 73, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '32400.cv', 'lmfdb_label': '32400.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': 60, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.64.1.a.4', '24.8.0.a.1', '56.16.0.a.1', '60.8.0-3.a.1.1', '63.192.5.e.1', '120.16.0.?', '140.16.0.?', '168.128.5.?', '280.32.0.?', '420.128.1.?', '504.384.21.?', '840.256.5.?', '1260.384.5.?', '2520.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236769', 'prec': 107}, 'szpiro_ratio': 5.500334345440709, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, -2, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 0, 2, 3, -2, 3, 1, -6, 6, 4, 4, 9, -1, -6, -12, -3, 8, 5, 12, -11, 4, 12, 6, -5], 'class_deg': 21, 'class_size': 4, 'conductor': 32400, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '32400.cv', 'trace_hash': 216284632710640556}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0097247536640098125228136941933', 'prec': 110}, 'conductor': 32400, 'gens': [], 'heights': [], 'lmfdb_label': '32400.cv1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36156594183341731117091530343', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8925275346673384893673224274310351434', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '32400.cv1'}
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ec_torsion_growth • Show schema
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id: 1611322
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [3]}
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id: 1611323
{'degree': 3, 'field': [-10, -3, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [2]}
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id: 1611326
{'degree': 6, 'field': [-6076, -4704, 4116, -56, -147, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [7]}
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id: 1611327
{'degree': 6, 'field': [-1500, 0, 225, 0, -30, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [6]}
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id: 1611324
{'degree': 6, 'field': [8, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [2, 2]}
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id: 1611325
{'degree': 6, 'field': [54, 0, 0, -14, 0, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [3]}
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id: 1611331
{'degree': 12, 'field': [1009, -756, -20121, -11480, 48771, 2688, -23554, -504, 3147, -28, -117, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [21]}
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id: 1611329
{'degree': 12, 'field': [2809, -6360, 6549, -3960, 1968, -912, 355, -66, 6, -18, 15, -6, 1], 'lmfdb_label': '32400.cv1', 'torsion': [3, 3]}
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id: 1611328
{'degree': 12, 'field': [8324, -24444, 28728, -22532, 14196, -6672, 2124, -444, 9, 49, -12, -3, 1], 'lmfdb_label': '32400.cv1', 'torsion': [4]}
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id: 1611330
{'degree': 12, 'field': [36786, -21996, 30870, 12984, 14217, 1584, 3550, 48, 360, -28, 24, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [2, 6]}
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id: 1611333
{'degree': 18, 'field': [106125, 99000, 455625, 163950, 410850, -67770, 39816, -56130, 16608, -7162, 7158, -2982, 1782, -798, 312, -102, 27, -6, 1], 'lmfdb_label': '32400.cv1', 'torsion': [6]}
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id: 1611332
{'degree': 18, 'field': [2796321, 3767040, -1993896, -1753326, -2970783, 237978, 3401766, -726084, -894312, 173340, 137889, -17784, -15165, 1242, 1035, -36, -45, 0, 1], 'lmfdb_label': '32400.cv1', 'torsion': [9]}
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id: 1611334
{'degree': 18, 'field': [89728953364, -328105151652, 284467440834, -80782786632, -3918551460, 10688450418, -3217394677, 70057104, 225260082, -37095886, -7451259, 1306920, 224728, -22074, -4563, 208, 6, -6, 1], 'lmfdb_label': '32400.cv1', 'torsion': [14]}
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ec_localdata • Show schema
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id: 757124
{'conductor': 32400, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '32400.cv1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 757125
{'conductor': 32400, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '32400.cv1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 757126
{'conductor': 32400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '32400.cv1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1880387
{'adelic_gens': [[1, 0, 1470, 1], [281, 1400, 1120, 1401], [1, 930, 1050, 1261], [503, 0, 0, 2519], [209, 1470, 1785, 2309], [1, 720, 0, 1], [1, 1680, 0, 1], [1471, 1290, 420, 2311], [2101, 1050, 2205, 1051], [526, 825, 2205, 1681], [505, 2016, 504, 505], [1081, 1410, 0, 1], [1, 0, 1680, 1], [1, 0, 2016, 1], [841, 1680, 840, 1681], [39, 1070, 560, 2319], [1, 0, 420, 1]], 'adelic_image': '2520.768.21.?', 'conductor': 32400, 'lmfdb_label': '32400.cv1', 'prime': 0}
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id: 144586
{'conductor': 32400, 'elladic_image': '8.2.0.1', 'lmfdb_label': '32400.cv1', 'modell_image': '2G', 'prime': 2}
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id: 144587
{'conductor': 32400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '32400.cv1', 'modell_image': '3B', 'prime': 3}
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id: 144588
{'conductor': 32400, 'elladic_image': '7.8.0.1', 'lmfdb_label': '32400.cv1', 'modell_image': '7B', 'prime': 7}
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lmfdb_iso 32400.cv does not appear in ec_padic