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ec_curvedata • Show schema
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{'Ciso': '162d', 'Clabel': '162d1', 'Cnumber': 1, 'absD': 5184, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 12, 'ainvs': [1, -1, 1, 4, -1], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162, 'degree': 12, 'elladic_images': ['4.16.0.2', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.59780648594258934269379073217', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [109503, 64], 'lmfdb_iso': '162.d', 'lmfdb_label': '162.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 4, -1], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['1.1.0.1', '3.8.0.1', '4.16.0.2', '12.128.1.5'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96401058216529257315887247781', 'prec': 107}, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 3, 0, -4, 1, 0, 3, 0, 0, -1, -4, 0, 1, 3, 0, -4, 3], 'aplist': [1, 0, 3, -4, 0, -1, 3, -4, 0, -9, -4, -1, -6, 8, 12, 6, 0, -1, -4, 12, 11, -16, 12, 3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 162, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162.d', 'trace_hash': 1795737022127482060}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '3.3055833792932480348863218361', 'prec': 100}, 'conductor': 162, 'gens': [], 'heights': [], 'lmfdb_label': '162.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.6051702504152866173475482491', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7367801669435244115650321660442033122', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [[1, 1, 1]], 'xcoord_integral_points': [1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a'}, 'iwp0': 5, 'lmfdb_label': '162.d2'}
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ec_torsion_growth • Show schema
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id: 6536
{'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '162.d2', 'torsion': [12]}
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id: 6537
{'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '162.d2', 'torsion': [4, 12]}
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id: 6538
{'degree': 6, 'field': [3, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '162.d2', 'torsion': [3, 3]}
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id: 6539
{'degree': 9, 'field': [-4, 0, 0, -27, 0, 27, 0, -9, 0, 1], 'lmfdb_label': '162.d2', 'torsion': [9]}
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id: 6540
{'degree': 12, 'field': [-16, 0, 30, -36, 0, 48, -45, 6, 15, -20, 15, -6, 1], 'lmfdb_label': '162.d2', 'torsion': [24]}
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id: 6541
{'degree': 18, 'field': [1, 0, 0, 24, 0, 0, 159, 0, 0, -196, 0, 0, 87, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '162.d2', 'torsion': [3, 12]}
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ec_localdata • Show schema
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id: 1255
{'conductor': 162, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162.d2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 1256
{'conductor': 162, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162.d2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666437
{'adelic_gens': [[9, 4, 8, 5], [7, 3, 0, 1], [9, 4, 4, 9], [1, 9, 9, 10]], 'adelic_image': '12.128.1.?', 'conductor': 162, 'lmfdb_label': '162.d2', 'prime': 0}
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id: 660
{'conductor': 162, 'elladic_image': '4.16.0.2', 'lmfdb_label': '162.d2', 'modell_image': '2G', 'prime': 2}
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id: 661
{'conductor': 162, 'elladic_image': '3.8.0.1', 'lmfdb_label': '162.d2', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 162.d does not appear in ec_padic
