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ec_curvedata • Show schema
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{'Ciso': '161700bh', 'Clabel': '161700bh2', 'Cnumber': 2, 'abc_quality': 0.9676576519600236, 'absD': 10403664304687500000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2310, 'ainvs': [0, 1, 0, -2917133, 5267818863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 161700, 'degree': 8957952, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9103040226233235152408638530', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 122, 'isogeny_degrees': [1, 3], 'jinv': [-5833703071744, 22107421875], 'lmfdb_iso': '161700.es', 'lmfdb_label': '161700.es1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2381, -123681], 'min_quad_twist_disc': -35, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '66.8.0-3.a.1.1', '105.8.0.?', '2310.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9732988706442513701376979225', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67053187150531980244298640036', 'prec': 103}, 'szpiro_ratio': 4.860406774600582, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, -3, 0, 7, 0], 'aplist': [0, 1, 0, 0, 1, 2, -3, 7, 3, -3, 4, 10, 0, 7, 0, -9, -3, 1, -2, -12, -4, 2, -3, -9, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 161700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '161700.es', 'trace_hash': 953045015225055071}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0029658012550575992200090257886', 'prec': 110}, 'conductor': 161700, 'gens': [[31882, 5359375, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9732988706442513701376979225', 'prec': 100}], 'lmfdb_label': '161700.es1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11225746668380273121498256016', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.632841546969564969375953570357395825', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 161700.es1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7225889
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '161700.es1', 'torsion': [3]}
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id: 7225890
{'degree': 3, 'field': [-26, 18, 0, 1], 'lmfdb_label': '161700.es1', 'torsion': [2]}
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id: 7225893
{'degree': 6, 'field': [270, -360, 174, 3, -17, -1, 1], 'lmfdb_label': '161700.es1', 'torsion': [6]}
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id: 7225891
{'degree': 6, 'field': [2055, 2190, 1099, 64, -3, -2, 1], 'lmfdb_label': '161700.es1', 'torsion': [2, 2]}
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id: 7225892
{'degree': 6, 'field': [21585, -6975, -126, 209, 30, -3, 1], 'lmfdb_label': '161700.es1', 'torsion': [3]}
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id: 7225894
{'degree': 12, 'field': [-98883, 189864, -146670, 43332, 10431, -7512, 1324, 32, -509, 208, -14, -4, 1], 'lmfdb_label': '161700.es1', 'torsion': [4]}
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id: 7225896
{'degree': 12, 'field': [2025, -8100, 27525, -38940, 31834, -20412, 9065, -1944, 630, -156, -7, 0, 1], 'lmfdb_label': '161700.es1', 'torsion': [2, 6]}
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id: 7225895
{'degree': 12, 'field': [465912225, -150555375, 51370335, -8143680, 826101, 327411, 69706, -1461, 1653, -508, -21, -3, 1], 'lmfdb_label': '161700.es1', 'torsion': [3, 3]}
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id: 7225898
{'degree': 18, 'field': [1230158640, 368174160, 103911624, -342925848, 313503588, -153519642, 29127589, 4679091, -2752161, 936438, -28947, -61317, 13810, 3789, -1335, 90, 39, -9, 1], 'lmfdb_label': '161700.es1', 'torsion': [6]}
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id: 7225897
{'degree': 18, 'field': [1464357337009, 853809886377, -490951158726, -120326406452, 71381993613, 369575703, -5297558356, 140144181, 176623860, -1211183, -6161346, 561729, 194300, -21903, -1215, 874, -42, -3, 1], 'lmfdb_label': '161700.es1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 4000539
{'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '161700.es1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 4000540
{'conductor': 161700, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '161700.es1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4000541
{'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '161700.es1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4000542
{'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '161700.es1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4000543
{'conductor': 161700, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '161700.es1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2709645
{'adelic_gens': [[4, 3, 9, 7], [2305, 6, 2304, 7], [1928, 387, 1, 1156], [923, 2304, 459, 2291], [1649, 2304, 327, 2291], [211, 6, 633, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2310.16.0.?', 'conductor': 161700, 'lmfdb_label': '161700.es1', 'prime': 0}
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id: 615086
{'conductor': 161700, 'elladic_image': '3.4.0.1', 'lmfdb_label': '161700.es1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 161700.es does not appear in ec_padic