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ec_curvedata • Show schema
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{'Ciso': '4560s', 'Clabel': '4560s4', 'Cnumber': 4, 'abc_quality': 1.0740941067474734, 'absD': 9127891353600, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [0, -1, 0, -845175120, 9457603588800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 576000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3019763015719832912274858171', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [16300610738133468173382620881, 2228489100], 'lmfdb_iso': '4560.o', 'lmfdb_label': '4560.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52823445, -147775056075], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.10', '60.144.1-60.cj.1.8', '76.6.0.?', '190.72.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 1520], [5, 6, 48], [19, 20, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6088291210120379818102536956', 'prec': 100}, 'szpiro_ratio': 8.697695985867256, '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, 1, 0, 2, 0, 1, 0, -2, 0, 4, 0, -1, 0, -2, 0, 1, 0], 'aplist': [0, -1, 1, 2, -2, 4, -2, 1, -4, 0, 8, 8, -8, 6, 12, -6, 0, 2, -8, 8, 14, 0, -4, 0, -12], 'class_deg': 10, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '4560.o', 'trace_hash': 2253887114663746364}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0013550016551423268479792007411', 'prec': 110}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19356950451373515630399175026', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9356950451373515630399175026199404076', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[16785, 0, 1]], 'xcoord_integral_points': [16785]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [3, 0], '19': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '4560.o1'}
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ec_torsion_growth • Show schema
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id: 238000
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 2]}
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id: 238002
{'degree': 4, 'field': [5, 0, -5, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [10]}
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id: 238001
{'degree': 4, 'field': [10, -5, -1, -1, 1], 'lmfdb_label': '4560.o1', 'torsion': [4]}
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id: 238003
{'degree': 8, 'field': [-15, 218, -306, 162, -45, -46, 20, -4, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 4]}
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id: 238005
{'degree': 8, 'field': [-3, 0, 1528, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [6]}
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id: 238006
{'degree': 8, 'field': [121, 0, -359, 0, 166, 0, -24, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 10]}
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id: 238004
{'degree': 8, 'field': [900, 0, 1200, 0, 61, 0, 2, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 4]}
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id: 238007
{'degree': 10, 'field': [656100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [10]}
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id: 238010
{'degree': 16, 'field': [25, 150, 775, -750, -1420, 1570, 270, -820, 331, -178, 251, -184, 69, -22, 14, -6, 1], 'lmfdb_label': '4560.o1', 'torsion': [20]}
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id: 238009
{'degree': 16, 'field': [376996, 0, -129227, 0, 257086, 0, -152769, 0, 38871, 0, -5961, 0, 631, 0, -38, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 6]}
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id: 238008
{'degree': 16, 'field': [33362176, 0, -25460608, 0, 6334828, 0, -742216, 0, 76285, 0, -1216, 0, 343, 0, 32, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [8]}
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id: 238011
{'degree': 20, 'field': [433069226725, -164473335000, 40040607375, -96561112500, 29184815375, -1785889620, 7163804250, 26640900, 209166625, -26462700, 3344301, 3296700, 99805, -72900, -11790, -3240, 935, 0, -45, 0, 1], 'lmfdb_label': '4560.o1', 'torsion': [2, 10]}
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ec_localdata • Show schema
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id: 87044
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '4560.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 87045
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 87046
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.o1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 87047
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '4560.o1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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ec_galrep • Show schema
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id: 1693686
{'adelic_gens': [[1121, 20, 1120, 21], [1134, 1135, 515, 1094], [761, 6, 0, 1], [126, 13, 875, 956], [1, 10, 10, 101], [11, 16, 900, 791], [1, 0, 20, 1], [1, 20, 0, 1], [457, 6, 0, 1]], 'adelic_image': '1140.288.5.?', 'conductor': 4560, 'lmfdb_label': '4560.o1', 'prime': 0}
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id: 22673
{'conductor': 4560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4560.o1', 'modell_image': '2B', 'prime': 2}
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id: 22674
{'conductor': 4560, 'elladic_image': '5.12.0.2', 'lmfdb_label': '4560.o1', 'modell_image': '5B.4.2', 'prime': 5}
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lmfdb_iso 4560.o does not appear in ec_padic
