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ec_curvedata • Show schema
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{'Ciso': '2280a', 'Clabel': '2280a4', 'Cnumber': 4, 'abc_quality': 0.9336753006137475, 'absD': 72960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -2440, 47212], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2280, 'degree': 1536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58494344282065962921261083639', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [784767874322, 35625], 'lmfdb_iso': '2280.b', 'lmfdb_label': '2280.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2440, 47212], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '40.12.0-4.c.1.5', '76.12.0.?', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], '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': '-0.050441472692623571086518608280', 'prec': 110}, 'szpiro_ratio': 4.528399704393077, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 4, 0, 2, 0, -1, 0, 6, 0, -1, 0], 'aplist': [0, -1, 1, 0, 4, 2, 6, -1, -4, -10, 4, 10, 6, 0, -12, 10, 0, -10, 4, 0, 10, 4, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2280.b', 'trace_hash': 1387971774104927074}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.31040205020862731435034452009', 'prec': 103}, 'conductor': 2280, 'gens': [], 'heights': [], 'lmfdb_label': '2280.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8278734421345341439194307300', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8278734421345341439194307299516869337', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[29, 0, 1]], 'xcoord_integral_points': [29]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2280.b1'}
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ec_torsion_growth • Show schema
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id: 115334
{'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 2]}
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id: 115336
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [4]}
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id: 115335
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [4]}
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id: 115337
{'degree': 4, 'field': [169, 0, -50, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 4]}
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id: 115341
{'degree': 8, 'field': [-3888, 0, 1008, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [6]}
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id: 115340
{'degree': 8, 'field': [2500, 5700, 6654, 3192, 574, -114, -51, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [8]}
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id: 115339
{'degree': 8, 'field': [147625, 40900, -37630, -6440, 2971, 296, -94, -4, 1], 'lmfdb_label': '2280.b1', 'torsion': [8]}
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id: 115338
{'degree': 8, 'field': [194425, -26036, 25274, 1504, -701, -64, 26, -4, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 4]}
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id: 115343
{'degree': 16, 'field': [-5458655, 17651960, 13857884, -49858896, -5643442, 30363736, -166712, -7387848, 472927, 828984, -80912, -43576, 5018, 1008, -124, -8, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 8]}
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id: 115346
{'degree': 16, 'field': [3674889, 0, -23747904, 0, -6491988, 0, -771228, 0, 132030, 0, -28872, 0, 2368, 0, -76, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [12]}
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id: 115342
{'degree': 16, 'field': [121550625, 0, 0, 0, 21577644, 0, 0, 0, -48762, 0, 0, 0, 492, 0, 0, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [4, 4]}
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id: 115344
{'degree': 16, 'field': [225900900, 0, 44240040, 0, 9029736, 0, -437532, 0, 106189, 0, -31616, 0, 2874, 0, -92, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 8]}
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id: 115347
{'degree': 16, 'field': [4384426225, 0, -539731100, 0, 47948020, 0, -8453404, 0, 640262, 0, -19684, 0, 1156, 0, -68, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [12]}
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id: 115345
{'degree': 16, 'field': [7390497024, 0, -29614947840, 0, 4891030272, 0, -116398080, 0, -19988640, 0, 979680, 0, -14112, 0, 0, 0, 1], 'lmfdb_label': '2280.b1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 38150
{'conductor': 2280, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '2280.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 38151
{'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2280.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 38152
{'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2280.b1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 38153
{'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2280.b1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1678714
{'adelic_gens': [[457, 8, 1828, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [856, 2003, 289, 318], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [859, 856, 2018, 861], [844, 1, 863, 6], [1528, 3, 1525, 2]], 'adelic_image': '2280.48.0.?', 'conductor': 2280, 'lmfdb_label': '2280.b1', 'prime': 0}
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id: 11155
{'conductor': 2280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2280.b1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2280.b does not appear in ec_padic