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ec_curvedata • Show schema
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{'Ciso': '1122g', 'Clabel': '1122g2', 'Cnumber': 2, 'abc_quality': 1.0432060444484623, 'absD': 42832838728685592576, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 1, -1108107, 319580601], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1122, 'degree': 32448, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4736610154821714882016095674', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [150476552140919246594353, 42832838728685592576], 'lmfdb_iso': '1122.g', 'lmfdb_label': '1122.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1108107, 319580601], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4736610154821714882016095674', 'prec': 100}, 'szpiro_ratio': 7.5991879060007355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 2, -1, -2, 1, 1, 2, 1, -1, 4, -2, -2, 1, 1, 1, -2, 2], 'aplist': [1, -1, 2, -2, 1, 4, 1, -2, 2, 6, 8, 2, -2, -2, 4, 12, -10, 6, -12, 6, 8, -2, -4, -2, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 1122, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1122.g', 'trace_hash': 1261944525846284641}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0071024035009170095738952607980', 'prec': 110}, 'conductor': 1122, 'gens': [], 'heights': [], 'lmfdb_label': '1122.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18897855991355678243526076561', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4567212788762381716583899529692095548', 'prec': 130}, 'tamagawa_product': 52, 'torsion_generators': [[3427, -3431, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0]}, 'iwp0': 17, 'lmfdb_label': '1122.g1'}
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ec_torsion_growth • Show schema
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id: 55511
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '1122.g1', 'torsion': [2, 2]}
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id: 55512
{'degree': 4, 'field': [34, 0, -13, 0, 1], 'lmfdb_label': '1122.g1', 'torsion': [4]}
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id: 55515
{'degree': 8, 'field': [-48, 0, -548, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '1122.g1', 'torsion': [6]}
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id: 55513
{'degree': 8, 'field': [7986, -6776, -1540, 3256, 533, -148, -14, -4, 1], 'lmfdb_label': '1122.g1', 'torsion': [2, 4]}
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id: 55514
{'degree': 8, 'field': [10888, 7536, -6020, -2948, 1265, 248, -78, -4, 1], 'lmfdb_label': '1122.g1', 'torsion': [2, 4]}
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id: 55517
{'degree': 16, 'field': [1829443984, 0, 666477928, 0, -6421580, 0, -89217768, 0, 3963924, 0, -47532, 0, 544, 0, -68, 0, 1], 'lmfdb_label': '1122.g1', 'torsion': [2, 6]}
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id: 55516
{'degree': 16, 'field': [92433024784, 0, -37128444992, 0, 5303726266, 0, -354802988, 0, 12009973, 0, -220694, 0, 4348, 0, -122, 0, 1], 'lmfdb_label': '1122.g1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 16254
{'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '1122.g1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
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id: 16255
{'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 26, 'j_denominator_valuation': 26, 'kodaira_symbol': 30, 'lmfdb_label': '1122.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 16256
{'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1122.g1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 16257
{'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1122.g1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1671662
{'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 1122, 'lmfdb_label': '1122.g1', 'prime': 0}
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id: 5344
{'conductor': 1122, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1122.g1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 1122.g does not appear in ec_padic