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ec_curvedata • Show schema
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{'Ciso': '152592bp', 'Clabel': '152592bp2', 'Cnumber': 2, 'abc_quality': 1.0432060444484623, 'absD': 4234774938744917074366823399424, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -5123886864, -100629836421696], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 152592, 'degree': 224280576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5834148680702248377436089978', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [150476552140919246594353, 42832838728685592576], 'lmfdb_iso': '152592.k', 'lmfdb_label': '152592.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1108107, 319580601], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.475195979064502442307981522', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4736610154821714882016095674', 'prec': 100}, 'szpiro_ratio': 6.592517197783468, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, -2, 0, 1, 0, 1, 0, 4, 0, 2, 0, 0, 0, 2, 0], 'aplist': [0, -1, -2, -2, 1, 4, 0, 2, 2, -6, 8, -2, 2, 2, -4, 12, 10, -6, 12, 6, -8, -2, 4, -2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 152592, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '152592.k', 'trace_hash': 1369845922397630583}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00010444711030760308196904795291', 'prec': 113}, 'conductor': 152592, 'gens': [[-357333598, 2906785700890, 127]], 'heights': [{'__RealLiteral__': 0, 'data': '16.475195979064502442307981522', 'prec': 100}], 'lmfdb_label': '152592.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.018230489989373371610903147183', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8056143259087973731585611778245869305', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-58287, 0, 1]], 'xcoord_integral_points': [-58287]}
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lmfdb_label 152592.k1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6850070
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '152592.k1', 'torsion': [2, 2]}
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id: 6850071
{'degree': 4, 'field': [64, -8, 8, -1, 1], 'lmfdb_label': '152592.k1', 'torsion': [4]}
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id: 6850072
{'degree': 8, 'field': [-137820, -1904, 17848, 5168, -248, -408, -60, 0, 1], 'lmfdb_label': '152592.k1', 'torsion': [2, 4]}
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id: 6850074
{'degree': 8, 'field': [-113823, -6378, 34066, 1932, 948, -322, -12, 0, 1], 'lmfdb_label': '152592.k1', 'torsion': [6]}
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id: 6850073
{'degree': 8, 'field': [2872, -6344, 7766, -2924, 1663, -244, 86, -4, 1], 'lmfdb_label': '152592.k1', 'torsion': [2, 4]}
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id: 6850076
{'degree': 16, 'field': [23482804081, 0, -3113759792, 0, 149541964, 0, -22806972, 0, 179346, 0, -74592, 0, 760, 0, -68, 0, 1], 'lmfdb_label': '152592.k1', 'torsion': [2, 6]}
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id: 6850075
{'degree': 16, 'field': [60193678336, 0, -15198366656, 0, 1485661144, 0, -76139294, 0, 2627065, 0, -86684, 0, 2536, 0, -26, 0, 1], 'lmfdb_label': '152592.k1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3773149
{'conductor': 152592, 'conductor_valuation': 4, 'discriminant_valuation': 25, 'j_denominator_valuation': 13, 'kodaira_symbol': -21, 'lmfdb_label': '152592.k1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3773150
{'conductor': 152592, 'conductor_valuation': 1, 'discriminant_valuation': 26, 'j_denominator_valuation': 26, 'kodaira_symbol': 30, 'lmfdb_label': '152592.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3773151
{'conductor': 152592, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '152592.k1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3773152
{'conductor': 152592, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '152592.k1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2652988
{'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 152592, 'lmfdb_label': '152592.k1', 'prime': 0}
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id: 584323
{'conductor': 152592, 'elladic_image': '2.3.0.1', 'lmfdb_label': '152592.k1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 152592.k does not appear in ec_padic