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ec_curvedata • Show schema
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{'Ciso': '359720q', 'Clabel': '359720q1', 'Cnumber': 1, 'abc_quality': 0.8761407382572933, 'absD': 16106304723200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3128, 'ainvs': [0, 0, 0, -75647, -8005886], 'analytic_rank': 0, 'bad_primes': [2, 5, 17, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 359720, 'degree': 720896, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5064641804771519270144742244', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1263257424, 425], 'lmfdb_iso': '359720.q', 'lmfdb_label': '359720.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -143, 658], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '34.6.0.a.1', '68.12.0.g.1', '92.12.0.?', '136.24.0.?', '184.24.0.?', '1564.24.0.?', '3128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52338104786071979133372360581', 'prec': 107}, 'szpiro_ratio': 3.5421569991061106, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, -3, 0, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, -1, 4, 0, 2, -8, -2, 2, 4, 0, -6, -4, 6, -4, -8, 2, 0, -4, 6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 359720, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '359720.q', 'trace_hash': 2274784276637115551}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.049147546072274478146319519785', 'prec': 107}, 'conductor': 359720, 'gens': [], 'heights': [], 'lmfdb_label': '359720.q3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28787927202867897848427583650', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1515170881147159139371033460064173319', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-161, 0, 1]], 'xcoord_integral_points': [-161]}
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lmfdb_label 359720.q3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14975868
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 2]}
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id: 14975870
{'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '359720.q3', 'torsion': [4]}
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id: 14975869
{'degree': 2, 'field': [98, -1, 1], 'lmfdb_label': '359720.q3', 'torsion': [4]}
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id: 14975871
{'degree': 4, 'field': [100, 0, 3, 0, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 4]}
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id: 14975872
{'degree': 8, 'field': [33129, 159822, -61402, -11840, 4363, 216, -106, -2, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 4]}
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id: 14975874
{'degree': 8, 'field': [75374, 7644, -1802, -56, 759, 40, -22, -4, 1], 'lmfdb_label': '359720.q3', 'torsion': [8]}
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id: 14975873
{'degree': 8, 'field': [188356, 0, 1048, 0, 904, 0, -12, 0, 1], 'lmfdb_label': '359720.q3', 'torsion': [8]}
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id: 14975875
{'degree': 8, 'field': [3449980, 1122080, 123580, 14084, -2504, -484, -20, -4, 1], 'lmfdb_label': '359720.q3', 'torsion': [6]}
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id: 14975881
{'degree': 16, 'field': [7997734, 12868704, 15228406, 13668294, 9107980, 5028006, 2264632, 759144, 253591, 37860, 13474, -972, 616, -96, 40, 0, 1], 'lmfdb_label': '359720.q3', 'torsion': [12]}
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id: 14975878
{'degree': 16, 'field': [9146888, -11970336, 18660760, -15827224, 14535142, -9417836, 5765042, -2606256, 1120561, -351568, 110666, -23872, 5556, -756, 128, -8, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 8]}
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id: 14975876
{'degree': 16, 'field': [72066501, -134456010, 132393466, -74543910, 26540824, -4781128, 468640, -72858, 150057, -50632, 17472, -1450, 756, -78, 54, -4, 1], 'lmfdb_label': '359720.q3', 'torsion': [4, 4]}
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id: 14975877
{'degree': 16, 'field': [284477624, -119898816, 142504120, -48125704, 31593730, -9729908, 4434758, -1096176, 371089, -69808, 18806, -2320, 144, 84, 8, -8, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 8]}
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id: 14975880
{'degree': 16, 'field': [230400000000, 0, -48384000000, 0, 110695680000, 0, -241920000, 0, 4968912, 0, -293328, 0, 4584, 0, 0, 0, 1], 'lmfdb_label': '359720.q3', 'torsion': [12]}
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id: 14975879
{'degree': 16, 'field': [14168797096108, 1930892600080, -1829187055500, -200493428140, 93013771688, 8509204428, -2555698244, -234291980, 50768589, 5072932, -885992, -68364, 9938, 644, -72, -8, 1], 'lmfdb_label': '359720.q3', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8902014
{'conductor': 359720, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '359720.q3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8902015
{'conductor': 359720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '359720.q3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8902016
{'conductor': 359720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '359720.q3', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8902017
{'conductor': 359720, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '359720.q3', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3906429
{'adelic_gens': [[1657, 1380, 1518, 2807], [1, 0, 8, 1], [1, 8, 0, 1], [875, 598, 3082, 1243], [1, 4, 4, 17], [7, 6, 3122, 3123], [2324, 1633, 2415, 1910], [3121, 8, 3120, 9], [271, 0, 0, 3127]], 'adelic_image': '3128.48.0.?', 'conductor': 359720, 'lmfdb_label': '359720.q3', 'prime': 0}
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id: 1240393
{'conductor': 359720, 'elladic_image': '8.12.0.9', 'lmfdb_label': '359720.q3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 359720.q does not appear in ec_padic