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ec_curvedata • Show schema
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{'Ciso': '331056d', 'Clabel': '331056d2', 'Cnumber': 2, 'abc_quality': 0.9123585968207901, 'absD': 169605905432832, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [0, 0, 0, -329967, 72952110], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 331056, 'degree': 2903040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8098427425260221141530151767', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [445090032, 19], 'lmfdb_iso': '331056.d', 'lmfdb_label': '331056.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2727, 54810], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '76.6.0.?', '114.6.0.?', '228.12.0.?'], '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': '-0.67516223074754229936921195428', 'prec': 107}, 'szpiro_ratio': 3.9129566678416294, '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, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -1, 0], 'aplist': [0, 0, -4, 0, 0, -2, 4, -1, 6, 10, -8, -10, -6, -4, 6, -2, 4, -10, 12, 12, 6, -4, -14, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 331056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '331056.d', 'trace_hash': 1038663867840902096}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.026791101369546788042070102837', 'prec': 107}, 'conductor': 331056, 'gens': [], 'heights': [], 'lmfdb_label': '331056.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53798171982790834139355277366', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0759634396558166827871055473247445331', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[330, 0, 1]], 'xcoord_integral_points': [330]}
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lmfdb_label 331056.d1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13874885
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '331056.d1', 'torsion': [2, 2]}
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id: 13874886
{'degree': 4, 'field': [427, -25, 42, -1, 1], 'lmfdb_label': '331056.d1', 'torsion': [4]}
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id: 13874889
{'degree': 8, 'field': [-1293, -15210, 11348, 2688, 480, -262, -18, 0, 1], 'lmfdb_label': '331056.d1', 'torsion': [6]}
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id: 13874888
{'degree': 8, 'field': [7396, 0, -4364, 0, -3, 0, 7, 0, 1], 'lmfdb_label': '331056.d1', 'torsion': [2, 4]}
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id: 13874887
{'degree': 8, 'field': [9604, 0, 2959, 0, -9, 0, -11, 0, 1], 'lmfdb_label': '331056.d1', 'torsion': [2, 4]}
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id: 13874890
{'degree': 16, 'field': [359164, 35816, -349700, -175576, 356096, 81332, -293618, 19456, 55549, 2508, 18412, -360, 1507, -28, 58, 0, 1], 'lmfdb_label': '331056.d1', 'torsion': [8]}
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id: 13874891
{'degree': 16, 'field': [1638571086, 1285410312, -469891038, -657872268, -112450028, 71048190, 27106824, 468844, -1343019, -301314, 11090, 11796, 1800, -52, -6, 0, 1], 'lmfdb_label': '331056.d1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8190164
{'conductor': 331056, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '331056.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8190165
{'conductor': 331056, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '331056.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8190166
{'conductor': 331056, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '331056.d1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8190167
{'conductor': 331056, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '331056.d1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3734902
{'adelic_gens': [[1, 2, 2, 5], [194, 1, 131, 0], [3, 4, 8, 11], [225, 4, 224, 5], [173, 58, 56, 171], [1, 4, 0, 1], [80, 1, 151, 0], [1, 0, 4, 1]], 'adelic_image': '228.12.0.?', 'conductor': 331056, 'lmfdb_label': '331056.d1', 'prime': 0}
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id: 1152121
{'conductor': 331056, 'elladic_image': '2.3.0.1', 'lmfdb_label': '331056.d1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 331056.d does not appear in ec_padic