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ec_curvedata • Show schema
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{'Ciso': '8280c', 'Clabel': '8280c2', 'Cnumber': 2, 'abc_quality': 0.9916360862545887, 'absD': 7243344000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1380, 'ainvs': [0, 0, 0, -12123, -497178], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8280, 'degree': 13824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2369548046445472595496326510', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [9776035692, 359375], 'lmfdb_iso': '8280.b', 'lmfdb_label': '8280.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -12123, -497178], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '138.6.0.?', '460.6.0.?', '1380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16462706232315610017782804457', 'prec': 107}, 'szpiro_ratio': 4.414093955639337, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, -2, 0, -2, -6, 0, 1, 0, 0, -8, 12, -2, -8, 10, -14, 2, 2, -2, -6, 0, 4, 10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 8280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8280.b', 'trace_hash': 2301601922940607095}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.084254810851152743896478302275', 'prec': 107}, 'conductor': 8280, 'gens': [], 'heights': [], 'lmfdb_label': '8280.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45601384976458446204678255653', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91202769952916892409356511305801068287', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-54, 0, 1]], 'xcoord_integral_points': [-54]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '8280.b1'}
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ec_torsion_growth • Show schema
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id: 433084
{'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '8280.b1', 'torsion': [2, 2]}
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id: 433085
{'degree': 4, 'field': [69, 0, 6, 0, 1], 'lmfdb_label': '8280.b1', 'torsion': [4]}
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id: 433088
{'degree': 8, 'field': [-12, 0, 12, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '8280.b1', 'torsion': [6]}
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id: 433087
{'degree': 8, 'field': [349, -826, 928, -226, 169, -70, 28, -4, 1], 'lmfdb_label': '8280.b1', 'torsion': [2, 4]}
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id: 433086
{'degree': 8, 'field': [198025, 0, -38090, 0, 2739, 0, -98, 0, 1], 'lmfdb_label': '8280.b1', 'torsion': [2, 4]}
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id: 433090
{'degree': 16, 'field': [34375, -209750, 457950, -400570, 33266, 207984, -227768, 135952, -49056, 11602, -2378, 234, -58, -28, 24, -8, 1], 'lmfdb_label': '8280.b1', 'torsion': [2, 6]}
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id: 433089
{'degree': 16, 'field': [4477456, 0, 4574792, 0, 548573, 0, -240166, 0, 74635, 0, -14996, 0, 1343, 0, -38, 0, 1], 'lmfdb_label': '8280.b1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 172223
{'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8280.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 172224
{'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8280.b1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 172225
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '8280.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 172226
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8280.b1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1718717
{'adelic_gens': [[1, 2, 2, 5], [464, 1, 919, 0], [1, 4, 0, 1], [277, 4, 554, 9], [1022, 1, 179, 0], [1377, 4, 1376, 5], [1, 0, 4, 1], [3, 4, 8, 11], [1037, 346, 344, 1035]], 'adelic_image': '1380.12.0.?', 'conductor': 8280, 'lmfdb_label': '8280.b1', 'prime': 0}
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id: 40568
{'conductor': 8280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8280.b1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 8280.b does not appear in ec_padic