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ec_curvedata • Show schema
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{'Ciso': '12675bb', 'Clabel': '12675bb2', 'Cnumber': 2, 'abc_quality': 1.0439051029424253, 'absD': 141410419921875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 390, 'ainvs': [0, 1, 1, -35208, -2618131], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 12675, 'degree': 70200, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4940953008531457406419314561', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 36, 'isogeny_degrees': [1, 5], 'jinv': [-102400, 3], 'lmfdb_iso': '12675.bk', 'lmfdb_label': '12675.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -8, -7], 'min_quad_twist_disc': 65, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '6.2.0.a.1', '30.24.1.d.2', '65.24.0-5.a.2.1', '390.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1295776382393729395521117090', 'prec': 103}, 'szpiro_ratio': 4.558943469545863, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, 1, 2, 0, 2, -3, 0, 1, 0, -2, 2, 0, -6, 0, -4, -2, 2, 5, 0], 'aplist': [2, 1, 0, -3, -2, 0, -2, 5, -6, 10, 3, 2, 8, -1, 2, 4, 10, 7, -3, 8, -14, 0, 6, 0, 17], 'class_deg': 5, 'class_size': 2, 'conductor': 12675, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '12675.bk', 'trace_hash': 1985500942571145960}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.050378509094043379101384814992', 'prec': 107}, 'conductor': 12675, 'gens': [], 'heights': [], 'lmfdb_label': '12675.bk1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17396366923548328200506695865', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3490917308870820501266739662505011517', '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, 1, 0], '3': [1, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '12675.bk1'}
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ec_torsion_growth • Show schema
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id: 654482
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '12675.bk1', 'torsion': [2]}
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id: 654483
{'degree': 4, 'field': [61, -16, 16, -1, 1], 'lmfdb_label': '12675.bk1', 'torsion': [5]}
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id: 654484
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '12675.bk1', 'torsion': [2, 2]}
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id: 654485
{'degree': 8, 'field': [1899, -25524, 10380, 2118, 465, -47, -3, 0, 1], 'lmfdb_label': '12675.bk1', 'torsion': [3]}
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id: 654486
{'degree': 10, 'field': [-417, 60, -165, 660, -30, -205, 5, 50, -5, -5, 1], 'lmfdb_label': '12675.bk1', 'torsion': [5]}
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id: 654487
{'degree': 12, 'field': [-39085944, 2725344, 7898016, -1703880, -625340, 135264, 24496, 424, -930, 40, 16, -6, 1], 'lmfdb_label': '12675.bk1', 'torsion': [4]}
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id: 654488
{'degree': 12, 'field': [4421, 21569, 40919, 7295, 10465, 834, 1551, -134, 325, -55, 34, -4, 1], 'lmfdb_label': '12675.bk1', 'torsion': [10]}
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ec_localdata • Show schema
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id: 274951
{'conductor': 12675, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12675.bk1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 274952
{'conductor': 12675, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '12675.bk1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 274953
{'conductor': 12675, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12675.bk1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1748125
{'adelic_gens': [[207, 260, 130, 311], [89, 0, 0, 389], [1, 0, 10, 1], [6, 13, 335, 271], [381, 10, 380, 11], [66, 65, 65, 326], [1, 10, 0, 1]], 'adelic_image': '390.48.1.?', 'conductor': 12675, 'lmfdb_label': '12675.bk1', 'prime': 0}
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id: 60292
{'conductor': 12675, 'elladic_image': '5.12.0.2', 'lmfdb_label': '12675.bk1', 'modell_image': '5B.4.2', 'prime': 5}
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lmfdb_iso 12675.bk does not appear in ec_padic