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ec_curvedata • Show schema
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{'Ciso': '17424bw', 'Clabel': '17424bw3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 2091115841214394368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -2552979, -1568527598], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17424, 'degree': 368640, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4287688941764968289033804087', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '17424.by', 'lmfdb_label': '17424.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '12.12.0.h.1', '24.24.0-12.h.1.4', '44.12.0-4.c.1.2', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120201', 'prec': 110}, 'szpiro_ratio': 5.721296740094618, '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, 2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 2, 4, 0, 2, -2, 0, 8, -6, 8, 6, -2, 0, 8, -6, -4, -6, 4, 0, 14, -4, -12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 17424, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17424.by', 'trace_hash': 392996262429461515}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0077695907357381299048037570083', 'prec': 110}, 'conductor': 17424, 'gens': [], 'heights': [], 'lmfdb_label': '17424.by1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11944483533136993858162009873', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8222347306038380346118431592244965388', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-946, 0, 1]], 'xcoord_integral_points': [-946]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '17424.by1'}
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ec_torsion_growth • Show schema
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id: 890717
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 2]}
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id: 890719
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '17424.by1', 'torsion': [4]}
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id: 890718
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [4]}
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id: 890720
{'degree': 4, 'field': [33, 0, 1, -2, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 4]}
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id: 890724
{'degree': 8, 'field': [-363, 0, 99, 0, 33, 0, 11, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [6]}
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id: 890721
{'degree': 8, 'field': [-98, 252, -110, -48, 51, -12, -14, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 4]}
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id: 890722
{'degree': 8, 'field': [253, -242, 146, -2, -5, 2, 8, -4, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 8]}
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id: 890723
{'degree': 8, 'field': [1296, 0, 0, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [8]}
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id: 890727
{'degree': 16, 'field': [9, 0, -1665, 0, -117, 0, 720, 0, 39, 0, -108, 0, -5, 0, 7, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 6]}
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id: 890729
{'degree': 16, 'field': [81, 0, 0, 0, 54, 0, 102, 0, 123, 0, 78, 0, 31, 0, 7, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [12]}
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id: 890726
{'degree': 16, 'field': [6561, 0, 0, 0, -1215, 0, 0, 0, 144, 0, 0, 0, -15, 0, 0, 0, 1], 'lmfdb_label': '17424.by1', 'torsion': [2, 8]}
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id: 890725
{'degree': 16, 'field': [8244, -6120, 26820, -49464, 49782, -45240, 45102, -36012, 23809, -13112, 6226, -2444, 832, -224, 52, -8, 1], 'lmfdb_label': '17424.by1', 'torsion': [4, 4]}
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id: 890728
{'degree': 16, 'field': [516561, 387396, -271769, -252146, 175096, -49852, 1853, 11666, -253, -4192, 3617, -1994, 757, -224, 52, -8, 1], 'lmfdb_label': '17424.by1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 388820
{'conductor': 17424, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '17424.by1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 388821
{'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '17424.by1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 388822
{'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '17424.by1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1779969
{'adelic_gens': [[80, 261, 83, 262], [235, 234, 178, 43], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17], [32, 157, 29, 0], [257, 8, 256, 9], [119, 256, 212, 231]], 'adelic_image': '264.48.0.?', 'conductor': 17424, 'lmfdb_label': '17424.by1', 'prime': 0}
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id: 81502
{'conductor': 17424, 'elladic_image': '8.12.0.14', 'lmfdb_label': '17424.by1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 17424.by does not appear in ec_padic