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ec_curvedata • Show schema
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{'Ciso': '17325bg', 'Clabel': '17325bg3', 'Cnumber': 3, 'abc_quality': 0.9296346880201614, 'absD': 4512566953125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -198230, -33920728], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17325, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6241705416730446003669562474', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [75627935783569, 396165], 'lmfdb_iso': '17325.t', 'lmfdb_label': '17325.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -881, 9698], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '132.12.0.?', '168.12.0.?', '330.6.0.?', '616.12.0.?', '660.24.0.?', '840.24.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27014544112193956736895396233', 'prec': 103}, 'szpiro_ratio': 4.939099713400159, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 0, 0, 1, 3, 0, 0, 1, 0, 2, -1, 0, -1, 6, 0, 4, 0], 'aplist': [-1, 0, 0, 1, 1, 2, 6, 4, 0, 6, 0, -6, 10, -4, 8, -6, 8, 2, 8, 8, 14, 4, -16, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 17325, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17325.t', 'trace_hash': 1905515759647436598}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.038838584393747970432339095019', 'prec': 107}, 'conductor': 17325, 'gens': [], 'heights': [], 'lmfdb_label': '17325.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22625986157866520479819853045', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8100788926293216383855882436241940878', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-1029, 1025, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 2], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '17325.t1'}
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ec_torsion_growth • Show schema
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id: 884706
{'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 2]}
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id: 884707
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [4]}
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id: 884708
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [4]}
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id: 884709
{'degree': 4, 'field': [49, 0, 19, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 4]}
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id: 884713
{'degree': 8, 'field': [-107639, -21076, 19912, 2327, -1160, -7, 7, -4, 1], 'lmfdb_label': '17325.t1', 'torsion': [6]}
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id: 884712
{'degree': 8, 'field': [53361, 0, 3120348, 0, 81334, 0, 572, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [8]}
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id: 884711
{'degree': 8, 'field': [748225, 0, -71860, 0, 2406, 0, -52, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [8]}
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id: 884710
{'degree': 8, 'field': [2194831, 23764, -26728, 5932, -2975, 8, 2, -4, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 4]}
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id: 884717
{'degree': 16, 'field': [10419115, -1715777140, 986699196, -160649550, -135919080, 89090283, -12251477, -5669116, 1804680, 35820, -42873, -9348, 2417, 280, -75, -4, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 6]}
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id: 884718
{'degree': 16, 'field': [40487769, 0, 140831390, 0, -4336913, 0, 2407884, 0, 98885, 0, 8596, 0, 435, 0, -22, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [12]}
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id: 884715
{'degree': 16, 'field': [222725776, 0, 474579280, 0, 189646396, 0, 4855420, 0, -826919, 0, 23320, 0, 346, 0, -20, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 8]}
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id: 884719
{'degree': 16, 'field': [2847396321, 0, 360376236, 0, 1850099922, 0, -179949627, 0, 16819605, 0, -250503, 0, -10098, 0, 264, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [12]}
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id: 884714
{'degree': 16, 'field': [18946421316, 0, 1245866832, 0, 248697108, 0, 5636124, 0, 744325, 0, 2884, 0, 1518, 0, -8, 0, 1], 'lmfdb_label': '17325.t1', 'torsion': [4, 4]}
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id: 884716
{'degree': 16, 'field': [11776277311225, -324826301800, 476422657200, -314386062200, 185564886630, -35141333640, 13561149580, -1628098160, 463384311, -38453848, 8577748, -491856, 88710, -3136, 468, -8, 1], 'lmfdb_label': '17325.t1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 385897
{'conductor': 17325, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17325.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 385898
{'conductor': 17325, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17325.t1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 385899
{'conductor': 17325, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17325.t1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 385900
{'conductor': 17325, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17325.t1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1779196
{'adelic_gens': [[3076, 9239, 6137, 9234], [1688, 3, 3365, 2], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [5779, 5778, 8098, 3475], [7, 6, 9234, 9235], [1163, 1156, 1202, 5781], [7384, 9237, 9235, 9238], [5281, 8, 2644, 33]], 'adelic_image': '9240.48.0.?', 'conductor': 17325, 'lmfdb_label': '17325.t1', 'prime': 0}
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id: 80983
{'conductor': 17325, 'elladic_image': '4.6.0.1', 'lmfdb_label': '17325.t1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 17325.t does not appear in ec_padic