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ec_curvedata • Show schema
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{'Ciso': '267696cw', 'Clabel': '267696cw2', 'Cnumber': 2, 'abc_quality': 1.033360901289125, 'absD': 3636443306089579563122688, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 0, 0, -43817475, 63606265346], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 267696, 'degree': 37158912, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4114465780329978656345053204', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [645532578015625, 252306960048], 'lmfdb_iso': '267696.cw', 'lmfdb_label': '267696.cw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1801, 16604], 'min_quad_twist_disc': 156, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '78.24.0.?', '132.48.0.?', '156.48.0.?', '572.6.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88651857440822934249290685970', 'prec': 103}, 'szpiro_ratio': 5.153004999870897, '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, -4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 0, -4, 1, 0, 0, -4, 0, 0, -10, -2, -6, 10, 0, -6, 0, 2, 2, -12, 10, 10, 12, 12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 267696, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '267696.cw', 'trace_hash': 1287623736884825194}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0010885669679119244127530597654', 'prec': 110}, 'conductor': 267696, 'gens': [], 'heights': [], 'lmfdb_label': '267696.cw3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.071769598034379476362119451721', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.57415678427503581089695561376586560320', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[1534, 0, 1]], 'xcoord_integral_points': [1534]}
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lmfdb_label 267696.cw3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11449646
{'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [6]}
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id: 11449645
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 2]}
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id: 11449648
{'degree': 4, 'field': [-3, 12, -11, -2, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 6]}
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id: 11449647
{'degree': 4, 'field': [108, 0, -17, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [4]}
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id: 11449649
{'degree': 6, 'field': [5876, -1352, 556, -12, 26, -2, 1], 'lmfdb_label': '267696.cw3', 'torsion': [6]}
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id: 11449652
{'degree': 8, 'field': [322, -2, 5, -2, -8, 8, 2, -4, 1], 'lmfdb_label': '267696.cw3', 'torsion': [12]}
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id: 11449650
{'degree': 8, 'field': [8217, 2970, -1080, -810, 361, -6, -16, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 4]}
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id: 11449651
{'degree': 8, 'field': [24336, 0, -18720, 0, -987, 0, -24, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 4]}
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id: 11449654
{'degree': 12, 'field': [24336, 0, -25584, 0, 5788, 0, 145, 0, 183, 0, 19, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 6]}
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id: 11449653
{'degree': 12, 'field': [2483776, 0, 2970752, 0, 489648, 0, 47776, 0, 2556, 0, 80, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [3, 6]}
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id: 11449657
{'degree': 16, 'field': [-2028, 59904, 84600, -179328, -51308, 136960, -1444, -43416, 5641, 8072, -2924, -76, 193, -24, 14, -8, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 12]}
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id: 11449656
{'degree': 16, 'field': [283024, 0, -234912, 0, 30680, 0, 24576, 0, -6471, 0, -462, 0, 251, 0, -18, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [2, 12]}
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id: 11449655
{'degree': 16, 'field': [168896016, 0, -138482568, 0, 46386576, 0, -7505730, 0, 708429, 0, -64056, 0, 3763, 0, 68, 0, 1], 'lmfdb_label': '267696.cw3', 'torsion': [8]}
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id: 11449658
{'degree': 18, 'field': [-341860737375, -1688426783100, 431446312620, 279078083358, -73035676827, 11972635272, -4621093268, 48985122, 137290026, -29994134, 4227453, 1192734, -128751, -13590, 2493, -1280, 129, -6, 1], 'lmfdb_label': '267696.cw3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 6635424
{'conductor': 267696, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '267696.cw3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6635425
{'conductor': 267696, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '267696.cw3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6635426
{'conductor': 267696, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '267696.cw3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 6635427
{'conductor': 267696, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '267696.cw3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3357543
{'adelic_gens': [[1705, 12, 1704, 13], [714, 131, 715, 142], [937, 12, 474, 73], [1, 0, 12, 1], [1, 6, 6, 37], [791, 1704, 1314, 1643], [1, 12, 0, 1], [1138, 1705, 1155, 20], [11, 2, 1666, 1707]], 'adelic_image': '1716.96.1.?', 'conductor': 267696, 'lmfdb_label': '267696.cw3', 'prime': 0}
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id: 957997
{'conductor': 267696, 'elladic_image': '2.3.0.1', 'lmfdb_label': '267696.cw3', 'modell_image': '2B', 'prime': 2}
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id: 957998
{'conductor': 267696, 'elladic_image': '3.4.0.1', 'lmfdb_label': '267696.cw3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 267696.cw does not appear in ec_padic