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ec_curvedata • Show schema
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{'Ciso': '366e', 'Clabel': '366e2', 'Cnumber': 2, 'abc_quality': 1.0625129341636277, 'absD': 535824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 732, 'ainvs': [1, 1, 0, -81, -315], 'analytic_rank': 0, 'bad_primes': [2, 3, 61], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 366, 'degree': 104, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.077737903507433612037737520915', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [59914169497, 535824], 'lmfdb_iso': '366.a', 'lmfdb_label': '366.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -81, -315], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.1', '244.24.0.?', '732.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.077737903507433612037737520915', 'prec': 110}, 'szpiro_ratio': 4.204255535610413, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -2, 1, 4, -1, 1, 2, -4, -1, -2, -4, 2, 1, 6, -1, 4, -2], 'aplist': [-1, -1, -2, 4, -4, -2, 6, 4, 8, 10, 4, 6, 2, -8, -8, -6, 12, 1, 0, 0, 10, -12, -12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 366, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '366.a', 'trace_hash': 829743611607807952}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.1682136731493448237977791702', 'prec': 100}, 'conductor': 366, 'gens': [], 'heights': [], 'lmfdb_label': '366.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5897058463099834788541888562', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.79485292315499173942709442809165719511', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-6, 3, 1], [10, -5, 1]], 'xcoord_integral_points': [-6, 10]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 0], '3': [0, 0], '61': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '366.a3'}
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ec_torsion_growth • Show schema
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id: 15909
{'degree': 2, 'field': [-15, -1, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 4]}
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id: 15911
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 4]}
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id: 15910
{'degree': 4, 'field': [256, 0, 29, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 4]}
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id: 15914
{'degree': 8, 'field': [34, -139, 136, 5, 1, -7, 7, -4, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 6]}
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id: 15913
{'degree': 8, 'field': [256, 0, -256, 0, -148, 0, -16, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 8]}
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id: 15912
{'degree': 8, 'field': [50625, 0, -6975, 0, 736, 0, -31, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [4, 4]}
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id: 15916
{'degree': 16, 'field': [256, 0, -384, 0, 112, 0, 120, 0, 57, 0, 30, 0, 7, 0, -6, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 8]}
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id: 15917
{'degree': 16, 'field': [15824484, 4507074, 11833477, -504220, -480107, 1252424, 19888, -85612, -13062, -7152, 2274, -64, -20, 98, -23, -4, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 12]}
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id: 15915
{'degree': 16, 'field': [16777216, 0, 30408704, 0, 25464832, 0, 9027584, 0, 1695616, 0, 141056, 0, 6217, 0, 116, 0, 1], 'lmfdb_label': '366.a3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 3657
{'conductor': 366, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '366.a3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3658
{'conductor': 366, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '366.a3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3659
{'conductor': 366, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '366.a3', 'prime': 61, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1667344
{'adelic_gens': [[1, 0, 4, 1], [729, 4, 728, 5], [673, 2, 0, 1], [1, 4, 0, 1], [367, 4, 2, 9], [245, 4, 490, 9]], 'adelic_image': '732.48.0.?', 'conductor': 366, 'lmfdb_label': '366.a3', 'prime': 0}
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id: 1543
{'conductor': 366, 'elladic_image': '4.12.0.1', 'lmfdb_label': '366.a3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 366.a does not appear in ec_padic