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ec_curvedata • Show schema
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{'Ciso': '162624cl', 'Clabel': '162624cl1', 'Cnumber': 1, 'abc_quality': 1.0043478699995376, 'absD': 109259523839218635767808, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 168, 'ainvs': [0, -1, 0, -44911489, 116948338465], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 162624, 'degree': 16727040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2362555589611051574396337455', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1], 'jinv': [-178284948703873, 1944365472], 'lmfdb_iso': '162624.q', 'lmfdb_label': '162624.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5799, 169173], 'min_quad_twist_disc': 88, 'modell_images': [], 'modm_images': ['168.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1853603416976837274820750182', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59793793958894016393915651134', 'prec': 103}, 'szpiro_ratio': 5.374767225167865, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, -1, 0, 1, 0, 0, 0, -3, 0, 2, 0, 2, 0, 4, 0], 'aplist': [0, -1, -2, -1, 0, -3, 2, 4, -7, 3, 3, 0, 3, 1, 6, -2, -3, 5, 13, -9, 0, 16, -11, 1, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 162624, 'isogeny_matrix': [[1]], 'lmfdb_iso': '162624.q', 'trace_hash': 932882069694225459}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0015453403248243030915886479719', 'prec': 110}, 'conductor': 162624, 'gens': [[-7179, 263296, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1853603416976837274820750182', 'prec': 100}], 'lmfdb_label': '162624.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10606111295385137925954012230', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0541143559941999119363536845926482526', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-7179]}
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lmfdb_label 162624.q1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7267000
{'degree': 3, 'field': [-53, -7, -1, 1], 'lmfdb_label': '162624.q1', 'torsion': [2]}
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id: 7267001
{'degree': 6, 'field': [2058, 0, 1213, 0, -8, 0, 1], 'lmfdb_label': '162624.q1', 'torsion': [2, 2]}
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id: 7267002
{'degree': 8, 'field': [-12, 0, -62, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '162624.q1', 'torsion': [3]}
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id: 7267003
{'degree': 12, 'field': [-2173773, 2709088, -1445776, 598524, -227013, 59744, -13232, 3208, -367, 0, 0, -4, 1], 'lmfdb_label': '162624.q1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4024828
{'conductor': 162624, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '162624.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4024829
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '162624.q1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4024830
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162624.q1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4024831
{'conductor': 162624, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '162624.q1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 167, 0], [1, 2, 0, 1], [113, 2, 113, 3], [1, 0, 2, 1], [127, 2, 127, 3], [85, 2, 85, 3], [167, 2, 166, 3], [73, 2, 73, 3]], 'adelic_image': '168.2.0.?', 'conductor': 162624, 'lmfdb_label': '162624.q1', 'prime': 0}
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lmfdb_iso 162624.q does not appear in ec_padic