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ec_curvedata • Show schema
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{'Ciso': '11025s', 'Clabel': '11025s1', 'Cnumber': 1, 'abc_quality': 0.9123874511245065, 'absD': 196994059171875, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 2730, 'ainvs': [0, 0, 1, -25725, -1725719], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 11025, 'degree': 43008, 'elladic_images': ['13.28.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4818926586597093835256935049', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 40, 'isogeny_degrees': [1, 13], 'jinv': [-28672, 3], 'lmfdb_iso': '11025.bo', 'lmfdb_label': '11025.bo2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -2, -1], 'min_quad_twist_disc': 105, 'modell_images': ['13B.4.1'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.1', '78.56.1.?', '91.84.2.?', '130.56.0.?', '195.56.0.?', '390.112.1.?', '546.168.9.?', '910.168.2.?', '1365.168.2.?', '2730.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1694058745949378528758772758', 'prec': 103}, 'szpiro_ratio': 4.53865640613417, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, -4, 0, 0, 1, 0], 'aplist': [2, 0, 0, 0, 2, -1, 0, 1, 0, -4, 9, -3, 10, -5, -6, 12, 12, 10, 5, 6, 3, -1, 6, -16, 6], 'class_deg': 13, 'class_size': 2, 'conductor': 11025, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '11025.bo', 'trace_hash': 883314092696725114}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.051623136907065404062041903624', 'prec': 107}, 'conductor': 11025, 'gens': [], 'heights': [], 'lmfdb_label': '11025.bo2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18737805901512343812325259549', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4970734163629625149580622916373078746', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [2, 0], '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': '11025.bo2'}
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ec_torsion_growth • Show schema
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id: 571912
{'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '11025.bo2', 'torsion': [2]}
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id: 571913
{'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '11025.bo2', 'torsion': [2, 2]}
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id: 571914
{'degree': 6, 'field': [139, -9, 49, -5, 7, -1, 1], 'lmfdb_label': '11025.bo2', 'torsion': [13]}
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id: 571915
{'degree': 8, 'field': [-49, -133, -98, -35, -20, 14, -10, -1, 1], 'lmfdb_label': '11025.bo2', 'torsion': [3]}
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id: 571916
{'degree': 12, 'field': [-4194, -6276, -5340, -5212, -3996, -2968, -1784, -228, 206, 78, -6, -2, 1], 'lmfdb_label': '11025.bo2', 'torsion': [4]}
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id: 571917
{'degree': 18, 'field': [3739, -5312, 1789, -2072, 2607, 156, 264, -1752, 738, -156, 385, -146, -19, -30, 29, -16, 8, -2, 1], 'lmfdb_label': '11025.bo2', 'torsion': [26]}
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ec_localdata • Show schema
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id: 235990
{'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11025.bo2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 235991
{'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11025.bo2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 235992
{'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '11025.bo2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1737115
{'adelic_gens': [[1, 2210, 0, 1471], [2183, 0, 0, 2729], [1, 26, 0, 1], [14, 23, 871, 1431], [2534, 1625, 2015, 1104], [1849, 520, 1560, 2479], [2705, 26, 2704, 27], [1, 0, 26, 1]], 'adelic_image': '2730.336.9.?', 'conductor': 11025, 'lmfdb_label': '11025.bo2', 'prime': 0}
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id: 53108
{'conductor': 11025, 'elladic_image': '13.28.0.1', 'lmfdb_label': '11025.bo2', 'modell_image': '13B.4.1', 'prime': 13}
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lmfdb_iso 11025.bo does not appear in ec_padic