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ec_curvedata • Show schema
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{'Ciso': '14798l', 'Clabel': '14798l1', 'Cnumber': 1, 'abc_quality': 0.9809753466101209, 'absD': 582123487232, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 42280, 'ainvs': [1, 0, 0, -11271, -462967], 'analytic_rank': 0, 'bad_primes': [2, 7, 151], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 14798, 'degree': 43200, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1180612775219083462553333690', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 5], 'jinv': [-1345938541921, 4947968], 'lmfdb_iso': '14798.k', 'lmfdb_label': '14798.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -230, 1251], 'min_quad_twist_disc': -7, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '35.24.0-5.a.1.2', '1208.2.0.?', '6040.24.1.?', '42280.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14510620299425169370265699728', 'prec': 103}, 'szpiro_ratio': 4.125066216021069, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 4, 1, 0, 1, -2, 4, 2, 1, 6, 0, 4, 1, -3, -2, 0, 4], 'aplist': [1, 1, 4, 0, 2, 6, -3, 0, -6, 0, 3, -2, -12, -6, 7, 9, 10, 13, -7, 12, -4, 10, 11, 0, 7], 'class_deg': 5, 'class_size': 2, 'conductor': 14798, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '14798.k', 'trace_hash': 629844287371444349}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10687209268486869421231500263', 'prec': 103}, 'conductor': 14798, 'gens': [], 'heights': [], 'lmfdb_label': '14798.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23162379569540410367845270506', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9487138708621231103535811518942124185', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [2, 0], '5': [6, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '151': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14798.k1'}
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ec_torsion_growth • Show schema
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id: 762911
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '14798.k1', 'torsion': [5]}
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id: 762912
{'degree': 3, 'field': [8, 8, -1, 1], 'lmfdb_label': '14798.k1', 'torsion': [2]}
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id: 762914
{'degree': 6, 'field': [184, -76, 82, -35, 21, -1, 1], 'lmfdb_label': '14798.k1', 'torsion': [10]}
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id: 762913
{'degree': 6, 'field': [1352, -1064, 362, -12, -11, -2, 1], 'lmfdb_label': '14798.k1', 'torsion': [2, 2]}
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id: 762915
{'degree': 8, 'field': [-2016, -3528, -1536, 240, 177, -32, -15, 0, 1], 'lmfdb_label': '14798.k1', 'torsion': [3]}
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id: 762917
{'degree': 12, 'field': [826400, 2020800, 1844508, 687312, 77452, -22724, -10051, -2, 655, 80, -13, -2, 1], 'lmfdb_label': '14798.k1', 'torsion': [2, 10]}
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id: 762916
{'degree': 12, 'field': [20339776, -44685440, 19355976, 7597120, -3101544, -315336, 187833, 652, -4073, 80, 15, -4, 1], 'lmfdb_label': '14798.k1', 'torsion': [4]}
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id: 762918
{'degree': 16, 'field': [8576, -15056, 23860, -23674, 28757, -25752, 19354, -12904, 8528, -4774, 2442, -1144, 494, -168, 44, -8, 1], 'lmfdb_label': '14798.k1', 'torsion': [15]}
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id: 762919
{'degree': 20, 'field': [23375220821, 3169946993, -18570301769, -49956270853, 108277111694, -101742958421, 72378268164, -47118660752, 25391661281, -9420311238, 1941563296, -52376851, -73906397, 15235846, -210683, -283461, 26728, 1586, -288, -1, 1], 'lmfdb_label': '14798.k1', 'torsion': [5]}
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ec_localdata • Show schema
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id: 326650
{'conductor': 14798, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '14798.k1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 15}
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id: 326651
{'conductor': 14798, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14798.k1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 326652
{'conductor': 14798, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14798.k1', 'prime': 151, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1762560
{'adelic_gens': [[10606, 30205, 14315, 12076], [30206, 30205, 33215, 12076], [31711, 18130, 0, 1], [1, 0, 10, 1], [1, 10, 0, 1], [6, 13, 42225, 42161], [12079, 0, 0, 42279], [31711, 39270, 0, 40167], [42271, 10, 42270, 11]], 'adelic_image': '42280.48.1.?', 'conductor': 14798, 'lmfdb_label': '14798.k1', 'prime': 0}
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id: 70195
{'conductor': 14798, 'elladic_image': '5.12.0.1', 'lmfdb_label': '14798.k1', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 14798.k does not appear in ec_padic