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ec_curvedata • Show schema
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{'Ciso': '126400bl', 'Clabel': '126400bl1', 'Cnumber': 1, 'abc_quality': 0.9093660135499924, 'absD': 1294336000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 28440, 'ainvs': [0, -1, 0, -74433, -7791263], 'analytic_rank': 0, 'bad_primes': [2, 5, 79], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 126400, 'degree': 276480, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4256855077706437745042029242', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [11134383337, 316], 'lmfdb_iso': '126400.v', 'lmfdb_label': '126400.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -47, 118], 'min_quad_twist_disc': -40, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '120.8.0.?', '316.2.0.?', '360.24.0.?', '711.36.0.?', '948.8.0.?', '2844.72.3.?', '9480.16.0.?', '28440.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1975], [5, 14, 5056], [79, 80, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41875421928632437692202492460', 'prec': 107}, 'szpiro_ratio': 3.8533909721979214, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, -1, 0, -1, 0, 5, 0, 2, -6, 0, 4, 2, -12, -8, -9, 6, -9, -8, 4, 9, -2, -1, -18, 9, -17], 'class_deg': 9, 'class_size': 3, 'conductor': 126400, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '126400.v', 'trace_hash': 1559862589748129897}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.057765069751618554559237452470', 'prec': 107}, 'conductor': 126400, 'gens': [], 'heights': [], 'lmfdb_label': '126400.v3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28904031851041708954407399896', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.57808063702083417908814799792607994865', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '79': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '126400.v3'}
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ec_torsion_growth • Show schema
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id: 5757479
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '126400.v3', 'torsion': [3]}
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id: 5757480
{'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '126400.v3', 'torsion': [2]}
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id: 5757482
{'degree': 6, 'field': [-60750, 0, -2600, 0, -10, 0, 1], 'lmfdb_label': '126400.v3', 'torsion': [3]}
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id: 5757481
{'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '126400.v3', 'torsion': [2, 2]}
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id: 5757484
{'degree': 6, 'field': [2104, -256, 332, -28, 23, -2, 1], 'lmfdb_label': '126400.v3', 'torsion': [6]}
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id: 5757483
{'degree': 6, 'field': [13921, 4912, 1078, -70, -21, -2, 1], 'lmfdb_label': '126400.v3', 'torsion': [9]}
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id: 5757487
{'degree': 12, 'field': [608569, 140372, 674978, 29504, 164739, 1968, 21328, 0, 1539, -4, 62, 0, 1], 'lmfdb_label': '126400.v3', 'torsion': [9]}
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id: 5757488
{'degree': 12, 'field': [11126944, -5769408, 4486160, -1477072, 594460, -122432, 31280, -2996, 685, -24, 30, -4, 1], 'lmfdb_label': '126400.v3', 'torsion': [2, 6]}
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id: 5757486
{'degree': 12, 'field': [17205475, -31217850, 16950515, -3386130, 923376, 1854, -47153, 11850, 216, 90, -13, -6, 1], 'lmfdb_label': '126400.v3', 'torsion': [3, 3]}
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id: 5757485
{'degree': 12, 'field': [79000000, 0, -23000000, 0, -1739375, 0, 12500, 0, 3375, 0, 100, 0, 1], 'lmfdb_label': '126400.v3', 'torsion': [4]}
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id: 5757489
{'degree': 18, 'field': [-319759326397436, 20977308001272, -29445307727492, 1108070384752, -741502738260, -21895527808, 13312412736, -2541500576, 1017715236, -51673560, 16364848, 394004, -127839, 32314, -7425, 272, -39, -6, 1], 'lmfdb_label': '126400.v3', 'torsion': [6]}
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id: 5757490
{'degree': 18, 'field': [46292977051, -11948089902, 15705596529, -3243157178, 2612338142, -470846484, 279249289, -44027516, 21219465, -2910326, 1172809, -132086, 49587, -4890, 1634, -114, 42, -4, 1], 'lmfdb_label': '126400.v3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 3115576
{'conductor': 126400, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '126400.v3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3115577
{'conductor': 126400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '126400.v3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 3115578
{'conductor': 126400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '126400.v3', 'prime': 79, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2488293
{'adelic_gens': [[8549, 5670, 8550, 5669], [21329, 5670, 9945, 22589], [1, 18, 0, 1], [1, 0, 18, 1], [10, 9, 81, 73], [9599, 5670, 14535, 27929], [21319, 5670, 20070, 8639], [28423, 18, 28422, 19], [14219, 0, 0, 28439], [17063, 0, 0, 28439], [1, 18, 10, 181]], 'adelic_image': '28440.144.3.?', 'conductor': 126400, 'lmfdb_label': '126400.v3', 'prime': 0}
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id: 493822
{'conductor': 126400, 'elladic_image': '9.12.0.1', 'lmfdb_label': '126400.v3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 126400.v does not appear in ec_padic