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ec_curvedata • Show schema
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{'Ciso': '17424bz', 'Clabel': '17424bz3', 'Cnumber': 3, 'abc_quality': 1.0237597269657934, 'absD': 349130284867584, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -6133611, 5846856730], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17424, 'degree': 368640, 'elladic_images': ['8.24.0.54'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3464470604425145556595697199', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 66], 'lmfdb_iso': '17424.i', 'lmfdb_label': '17424.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2689], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.m.1.8', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809002', 'prec': 110}, 'szpiro_ratio': 5.990565107299348, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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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, 6, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, -2, -4, 0, 6, 2, 4, 4, 6, 0, 6, -6, 4, -12, -2, 12, 14, -4, -12, 6, -4, -4, -10, -14], '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.i', 'trace_hash': 1142333280675414661}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0091601372124330705737936910927', 'prec': 110}, 'conductor': 17424, 'gens': [], 'heights': [], 'lmfdb_label': '17424.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38193677151413919530342663198', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5277470860565567812137065279121196725', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[1463, 2178, 1]], 'xcoord_integral_points': [1430, 1463]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '17424.i1'}
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ec_torsion_growth • Show schema
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id: 890795
{'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [2, 4]}
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id: 890796
{'degree': 4, 'field': [4, 2, -12, -1, 1], 'lmfdb_label': '17424.i1', 'torsion': [8]}
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id: 890800
{'degree': 8, 'field': [-783, -1338, -494, 492, 228, -82, -12, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [12]}
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id: 890799
{'degree': 8, 'field': [256, 128, -496, -160, 214, 40, -31, -2, 1], 'lmfdb_label': '17424.i1', 'torsion': [2, 8]}
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id: 890798
{'degree': 8, 'field': [3249, 0, -1092, 0, 88, 0, -4, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [2, 8]}
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id: 890797
{'degree': 8, 'field': [4489, 0, -788, 0, 138, 0, 4, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [4, 4]}
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id: 890802
{'degree': 16, 'field': [17424, 0, -33792, 0, 415552, 0, -1147008, 0, 121080, 0, -5992, 0, 177, 0, -36, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [2, 12]}
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id: 890801
{'degree': 16, 'field': [5645376, 0, 940896, 0, 2587464, 0, -1019304, 0, 104412, 0, -8976, 0, 1254, 0, -66, 0, 1], 'lmfdb_label': '17424.i1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 388844
{'conductor': 17424, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '17424.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 388845
{'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17424.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 388846
{'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17424.i1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1780000
{'adelic_gens': [[80, 261, 83, 262], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17], [160, 261, 67, 262], [257, 8, 256, 9], [168, 41, 91, 78], [157, 164, 118, 27]], 'adelic_image': '264.48.0.?', 'conductor': 17424, 'lmfdb_label': '17424.i1', 'prime': 0}
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id: 81540
{'conductor': 17424, 'elladic_image': '8.24.0.54', 'lmfdb_label': '17424.i1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 17424.i does not appear in ec_padic