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ec_curvedata • Show schema
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{'Ciso': '162d', 'Clabel': '162d2', 'Cnumber': 2, 'abc_quality': 1.0060683766058514, 'absD': 2125764, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 12, 'ainvs': [1, -1, 1, -56, -161], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162, 'degree': 36, 'elladic_images': ['4.16.0.2', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.048500341608534496996168113704', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-35937, 4], 'lmfdb_iso': '162.d', 'lmfdb_label': '162.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6, 8], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '4.16.0-4.b.1.1', '12.128.1-12.b.2.4'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1471126302766441883914133506', 'prec': 103}, 'szpiro_ratio': 4.687633113773505, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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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': '1.1018611264310826782954406120', 'prec': 100}, 'conductor': 162, 'gens': [], 'heights': [], 'lmfdb_label': '162.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.86839008347176220578251608302', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7367801669435244115650321660442033122', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a'}, 'iwp0': 5, 'lmfdb_label': '162.d1'}
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ec_torsion_growth • Show schema
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id: 6542
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '162.d1', 'torsion': [3]}
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id: 6543
{'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [4]}
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id: 6544
{'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [3]}
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id: 6546
{'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '162.d1', 'torsion': [3, 3]}
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id: 6545
{'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [4, 4]}
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id: 6547
{'degree': 6, 'field': [4, 12, 9, -2, -3, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [12]}
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id: 6548
{'degree': 9, 'field': [-4, 12, -18, 9, -6, 9, 0, 3, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [12]}
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id: 6549
{'degree': 12, 'field': [-16, 0, 30, -36, 0, 48, -45, 6, 15, -20, 15, -6, 1], 'lmfdb_label': '162.d1', 'torsion': [8]}
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id: 6550
{'degree': 12, 'field': [1, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [4, 12]}
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id: 6552
{'degree': 18, 'field': [1, -9, 39, -108, 228, -420, 696, -978, 1143, -1183, 1143, -978, 696, -420, 228, -108, 39, -9, 1], 'lmfdb_label': '162.d1', 'torsion': [3, 12]}
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id: 6553
{'degree': 18, 'field': [2, 12, 36, 78, 90, 0, -63, 48, 234, 272, 153, 18, -24, -12, 9, 0, -6, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [4, 12]}
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id: 6551
{'degree': 18, 'field': [64, 0, 0, -336, 0, 0, 636, 0, 0, -430, 0, 0, 159, 0, 0, -21, 0, 0, 1], 'lmfdb_label': '162.d1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1257
{'conductor': 162, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162.d1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1258
{'conductor': 162, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '162.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666436
{'adelic_gens': [[9, 4, 8, 5], [1, 9, 9, 10], [9, 8, 8, 9], [1, 9, 0, 7]], 'adelic_image': '12.128.1.?', 'conductor': 162, 'lmfdb_label': '162.d1', 'prime': 0}
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id: 658
{'conductor': 162, 'elladic_image': '4.16.0.2', 'lmfdb_label': '162.d1', 'modell_image': '2G', 'prime': 2}
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id: 659
{'conductor': 162, 'elladic_image': '3.8.0.2', 'lmfdb_label': '162.d1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 162.d does not appear in ec_padic