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ec_curvedata • Show schema
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{'Ciso': '1805b', 'Clabel': '1805b2', 'Cnumber': 2, 'abc_quality': 1.0058640564899433, 'absD': 705078125, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 1710, 'ainvs': [0, -1, 1, -291, 1522], 'analytic_rank': 0, 'bad_primes': [5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1805, 'degree': 756, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40708034707446269682927796809', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [7575076864, 1953125], 'lmfdb_iso': '1805.b', 'lmfdb_label': '1805.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -291, 1522], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '10.2.0.a.1', '30.8.0.a.1', '57.8.0-3.a.1.2', '90.24.0.?', '171.72.0.?', '570.16.0.?', '1710.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, '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': '-0.083659482786610713172226603891', 'prec': 110}, 'szpiro_ratio': 3.8191252258831225, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, -2, -1, 0, -4, 0, 1, 0, 3, -4, -2, 0, -2, 4, 6, 0, 0, 2], 'aplist': [0, 2, -1, -4, 3, -2, 6, 0, 0, 3, 7, -8, 6, -4, 6, 6, 15, 5, -2, 3, 8, -5, 12, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 1805, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1805.b', 'trace_hash': 855407089274774607}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.44301099308751268135671470928', 'prec': 103}, 'conductor': 1805, 'gens': [], 'heights': [], 'lmfdb_label': '1805.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5047754359126224127052621482', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5047754359126224127052621481528875786', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 9, 0], '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': 'a', '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1805.b1'}
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ec_torsion_growth • Show schema
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id: 92049
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '1805.b1', 'torsion': [3]}
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id: 92050
{'degree': 3, 'field': [45, -25, -1, 1], 'lmfdb_label': '1805.b1', 'torsion': [2]}
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id: 92051
{'degree': 6, 'field': [-369, -183, 158, 49, -22, -3, 1], 'lmfdb_label': '1805.b1', 'torsion': [2, 2]}
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id: 92052
{'degree': 6, 'field': [19, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1805.b1', 'torsion': [3]}
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id: 92053
{'degree': 6, 'field': [1318, -1582, 284, 179, -55, -1, 1], 'lmfdb_label': '1805.b1', 'torsion': [6]}
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id: 92056
{'degree': 12, 'field': [-10116, -9396, 129708, -155328, 664, 61046, -12357, -7009, 1820, 271, -80, -3, 1], 'lmfdb_label': '1805.b1', 'torsion': [2, 6]}
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id: 92054
{'degree': 12, 'field': [-9151, 14302, 73394, -19312, -41841, 11308, 8188, -2880, -319, 210, -18, -4, 1], 'lmfdb_label': '1805.b1', 'torsion': [4]}
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id: 92055
{'degree': 12, 'field': [64, -8, -39, 107, 10, -9, 31, -36, 27, -11, 10, -3, 1], 'lmfdb_label': '1805.b1', 'torsion': [3, 3]}
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id: 92058
{'degree': 18, 'field': [729, 0, 0, -594, 0, 0, -1369, 0, 0, 1148, 0, 0, 1503, 0, 0, -58, 0, 0, 1], 'lmfdb_label': '1805.b1', 'torsion': [6]}
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id: 92057
{'degree': 18, 'field': [142728, 885780, 2108088, 2342643, 760494, -1035576, -1247273, -354426, 222804, 180310, 13500, -25992, -7164, 1596, 792, -38, -42, 0, 1], 'lmfdb_label': '1805.b1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 29197
{'conductor': 1805, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '1805.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 29198
{'conductor': 1805, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1805.b1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1675847
{'adelic_gens': [[1, 18, 12, 217], [1, 18, 0, 1], [10, 9, 81, 73], [1, 18, 0, 191], [1625, 18, 558, 389], [1693, 18, 1692, 19], [1, 0, 18, 1], [10, 9, 1017, 1702], [13, 12, 1646, 1651]], 'adelic_image': '1710.144.2.?', 'conductor': 1805, 'lmfdb_label': '1805.b1', 'prime': 0}
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id: 8903
{'conductor': 1805, 'elladic_image': '9.12.0.2', 'lmfdb_label': '1805.b1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 1805.b does not appear in ec_padic