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ec_curvedata • Show schema
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{'Ciso': '17160b', 'Clabel': '17160b2', 'Cnumber': 2, 'abc_quality': 0.9856789904359551, 'absD': 62596437171840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, -1, 0, -1603856, 782243100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17160, 'degree': 344064, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2407725436318235777612435013', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [445574312599094932036, 61129333175625], 'lmfdb_iso': '17160.a', 'lmfdb_label': '17160.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1603856, 782243100], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '52.12.0-2.a.1.1', '88.12.0.?', '156.24.0.?', '264.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.6631498931652024865802167334', 'prec': 100}, 'szpiro_ratio': 5.587229551412613, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -4, 0, 1, 0, -1, 0, 1, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, -1, -1, -4, -1, 1, -2, 4, -4, 6, 0, 10, -10, 4, 0, 10, -12, -2, 8, -8, -2, -16, -12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 17160, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '17160.a', 'trace_hash': 11925398755292549}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011315915563482099283926844118', 'prec': 107}, 'conductor': 17160, 'gens': [], 'heights': [], 'lmfdb_label': '17160.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.33739444311768697743176283127', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.67478888623537395486352566254035889052', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[725, 0, 1], [738, 0, 1]], 'xcoord_integral_points': [-1462, 725, 738]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '11': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '17160.a3'}
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ec_torsion_growth • Show schema
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id: 877869
{'degree': 4, 'field': [16, 0, 5, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 4]}
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id: 877867
{'degree': 4, 'field': [339, 50, -49, -2, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 4]}
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id: 877868
{'degree': 4, 'field': [484, 0, -22, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 4]}
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id: 877870
{'degree': 8, 'field': [-1572528, 0, -156944, 0, -4344, 0, 0, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 6]}
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id: 877874
{'degree': 16, 'field': [43264, 0, -83824, 0, 1764100, 0, 124592, 0, -47540, 0, -880, 0, 409, 0, -22, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 8]}
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id: 877871
{'degree': 16, 'field': [341251729, 73965892, 89702340, -6214208, 11253043, -608828, 1643056, 325424, 144456, 24992, -10366, 352, -113, -88, -14, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [4, 4]}
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id: 877873
{'degree': 16, 'field': [3004855623446416, 1091108641136448, 122128027259936, 2502236947584, -835011243680, -235695671904, -33957901984, -1473937344, 238706332, 34191696, 2072624, 130416, -16328, -2640, -52, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 8]}
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id: 877872
{'degree': 16, 'field': [295230878633122576, 0, -1044959681021248, 0, -85759685646464, 0, -374857020768, 0, 10082076360, 0, -2662032, 0, -183584, 0, 8, 0, 1], 'lmfdb_label': '17160.a3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 382428
{'conductor': 17160, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '17160.a3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 382429
{'conductor': 17160, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '17160.a3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 382430
{'conductor': 17160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17160.a3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 382431
{'conductor': 17160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17160.a3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 382432
{'conductor': 17160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17160.a3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1778191
{'adelic_gens': [[1717, 4, 2, 9], [1145, 2, 0, 1], [861, 4, 1718, 3], [1, 4, 0, 1], [937, 4, 1874, 9], [1059, 2, 1582, 3431], [1, 0, 4, 1], [3429, 4, 3428, 5]], 'adelic_image': '3432.48.0.?', 'conductor': 17160, 'lmfdb_label': '17160.a3', 'prime': 0}
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id: 80374
{'conductor': 17160, 'elladic_image': '2.6.0.1', 'lmfdb_label': '17160.a3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 17160.a does not appear in ec_padic