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ec_curvedata • Show schema
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{'Ciso': '265200br', 'Clabel': '265200br1', 'Cnumber': 1, 'abc_quality': 0.85449985979477, 'absD': 10862592000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, -1, 0, 3392, -140288], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 265200, 'degree': 393216, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1851674033853926541037195539', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 169728], 'lmfdb_iso': '265200.br', 'lmfdb_label': '265200.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 9, 21], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '104.12.0.?', '260.12.0.?', '408.12.0.?', '520.24.0.?', '1020.12.0.?', '1326.6.0.?', '2040.24.0.?', '2652.12.0.?', '5304.24.0.?', '13260.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '16.806977516742601308607182030', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31269873339160284261389223417', 'prec': 107}, 'szpiro_ratio': 2.9795927139347116, '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, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, -1, 0, 0, 0, -1, -1, 0, 0, -2, -8, -10, -6, -4, -8, 2, 4, -10, 8, 12, -6, 8, 12, -10, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 265200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '265200.br', 'trace_hash': 770767860536470720}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.093449433536765795943123987850', 'prec': 107}, 'conductor': 265200, 'gens': [[257, 4200, 1], [81, 812, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0678135507514750254734230103', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.8066043454218031201571143880', 'prec': 100}], 'lmfdb_label': '265200.br4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.37145619083029850909225043684', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.486111695479352534565186929324412226', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[32, 0, 1]], 'xcoord_integral_points': [32, 81, 257, 4128]}
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lmfdb_label 265200.br4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11352090
{'degree': 2, 'field': [-255, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [4]}
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id: 11352091
{'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [4]}
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id: 11352089
{'degree': 2, 'field': [166, -1, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 2]}
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id: 11352092
{'degree': 4, 'field': [6400, 0, -95, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 4]}
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id: 11352096
{'degree': 8, 'field': [-480000, 0, -38000, 0, -2400, 0, 0, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [6]}
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id: 11352094
{'degree': 8, 'field': [205, 19690, 27236, 14374, 2953, -94, -100, -4, 1], 'lmfdb_label': '265200.br4', 'torsion': [8]}
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id: 11352095
{'degree': 8, 'field': [1329, -4296, 4346, -108, 75, -28, 14, -4, 1], 'lmfdb_label': '265200.br4', 'torsion': [8]}
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id: 11352093
{'degree': 8, 'field': [7033104, 0, 0, 0, 48399, 0, 0, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 4]}
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id: 11352099
{'degree': 16, 'field': [189121, -917346, 2437490, -1707790, -2119432, 2606016, 616616, -1045110, -5927, 151080, -4256, -12782, 1008, 490, -50, -8, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 8]}
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id: 11352098
{'degree': 16, 'field': [27730756, 0, 11490616, 0, 2880629, 0, -451554, 0, -66565, 0, 5916, 0, 1259, 0, 46, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 8]}
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id: 11352097
{'degree': 16, 'field': [4128833536, 4688117760, 2661580800, -2360721408, 785152000, 196306944, 391652352, -367578624, 146062992, -35870544, 5470920, -463980, 36481, -2586, 18, -6, 1], 'lmfdb_label': '265200.br4', 'torsion': [4, 4]}
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id: 11352101
{'degree': 16, 'field': [52910820549, 69144159564, 29630706636, 10037926632, 6494819860, 2844740796, 721326144, 156312400, 15238938, 1696932, -224500, -49272, -11508, -1132, -24, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [12]}
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id: 11352102
{'degree': 16, 'field': [99179645184, 0, -7754787072, 0, 26690148, 0, -47869056, 0, 3948000, 0, -54416, 0, 2352, 0, 0, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [12]}
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id: 11352100
{'degree': 16, 'field': [26703428311296, 0, -253898111616, 0, -36843564572, 0, 639695328, 0, -15905184, 0, 715184, 0, -8256, 0, 0, 0, 1], 'lmfdb_label': '265200.br4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6573196
{'conductor': 265200, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '265200.br4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6573197
{'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '265200.br4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6573198
{'conductor': 265200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '265200.br4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 6573199
{'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '265200.br4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6573200
{'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '265200.br4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3342390
{'adelic_gens': [[5303, 0, 0, 26519], [26513, 8, 26512, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [5971, 5970, 12610, 4651], [7, 6, 26514, 26515], [20816, 15915, 16325, 5306], [5959, 660, 16570, 24529], [12796, 5305, 11255, 6], [7076, 5305, 24775, 6]], 'adelic_image': '26520.48.0.?', 'conductor': 265200, 'lmfdb_label': '265200.br4', 'prime': 0}
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id: 950196
{'conductor': 265200, 'elladic_image': '4.6.0.1', 'lmfdb_label': '265200.br4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 265200.br does not appear in ec_padic