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ec_curvedata • Show schema
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{'Ciso': '7098o', 'Clabel': '7098o4', 'Cnumber': 4, 'absD': 862706477061653436576, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -1932857, 1751063420], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 7098, 'degree': 312000, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7120942020628710749941049723', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-75306487574989, 81352871712], 'lmfdb_iso': '7098.k', 'lmfdb_label': '7098.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1932857, 1751063420], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '5.6.0.1', '10.18.0.1', '40.36.0.6', '65.24.0.?', '104.6.0.?', '130.72.0.?', '168.6.0.?', '420.36.0.?', '520.144.1.?', '840.72.1.?', '1092.6.0.?', '2184.12.0.?', '5460.144.1.?', '10920.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, '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': '0.78838218396671852295398939113', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -2, -1, 1, -1, 1, 2, 0, 1, 0, -1, -2, 1, 2, -1, -4, -2], 'aplist': [-1, 1, -2, 1, 0, 0, 2, -4, 6, 0, 0, -2, 0, -4, 8, 4, -6, 12, 2, 0, -14, 0, 14, 4, 2], 'class_deg': 10, 'class_size': 4, 'conductor': 7098, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '7098.k', 'trace_hash': 1203744516179245407}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0044086427465055326005006836392', 'prec': 110}, 'conductor': 7098, 'gens': [], 'heights': [], 'lmfdb_label': '7098.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14359735516311405743640321004', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4359735516311405743640321003967316995', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-6873, 6869, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': [3, 0], '5': [6, 0], '7': [3, 0], '13': 'a'}, 'iwp0': 7, 'lmfdb_label': '7098.k2'}
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ec_torsion_growth • Show schema
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id: 373629
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [2, 2]}
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id: 373630
{'degree': 4, 'field': [-1664, 0, 13, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [4]}
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id: 373631
{'degree': 4, 'field': [-49, 69, -24, -1, 1], 'lmfdb_label': '7098.k2', 'torsion': [10]}
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id: 373633
{'degree': 8, 'field': [3844, 0, 2736, 0, 580, 0, 24, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [2, 4]}
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id: 373632
{'degree': 8, 'field': [5929, 0, 4970, 0, 786, 0, -22, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [2, 4]}
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id: 373634
{'degree': 8, 'field': [6152, -6082, 1433, 6, 327, -54, -17, -2, 1], 'lmfdb_label': '7098.k2', 'torsion': [6]}
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id: 373635
{'degree': 8, 'field': [38416, 0, 14504, 0, 1696, 0, 74, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [2, 10]}
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id: 373638
{'degree': 16, 'field': [256, 0, 1443008, 0, 13212228, 0, -10811884, 0, 1975485, 0, -50854, 0, -3457, 0, 18, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [20]}
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id: 373637
{'degree': 16, 'field': [1213990092, 2204700120, 2116524816, 986034348, 213404157, -42005208, -7437834, 1160940, 3261299, -773216, 105908, -6612, 1923, -96, 22, -4, 1], 'lmfdb_label': '7098.k2', 'torsion': [2, 6]}
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id: 373636
{'degree': 16, 'field': [2561647032, 2051845992, 1234194948, 486895248, 266252694, 189548082, 69815187, 21333606, 5646385, 649780, 115510, 34660, 796, 154, 79, -2, 1], 'lmfdb_label': '7098.k2', 'torsion': [8]}
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id: 373639
{'degree': 20, 'field': [14348907, 0, 0, 0, 0, -905418, 0, 0, 0, 0, 14580, 0, 0, 0, 0, -6, 0, 0, 0, 0, 1], 'lmfdb_label': '7098.k2', 'torsion': [10]}
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ec_localdata • Show schema
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id: 145692
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '7098.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 145693
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7098.k2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 145694
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '7098.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 145695
{'conductor': 7098, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '7098.k2', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1710985
{'adelic_gens': [[10901, 20, 10900, 21], [8737, 20, 0, 1], [3641, 6, 0, 1], [5466, 5, 2785, 46], [1, 10, 10, 101], [6, 13, 5375, 10736], [7801, 6, 0, 1], [1, 0, 20, 1], [11, 16, 10680, 10571], [822, 10915, 5585, 10838], [1, 20, 0, 1]], 'adelic_image': '10920.288.5.?', 'conductor': 7098, 'lmfdb_label': '7098.k2', 'prime': 0}
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id: 35097
{'conductor': 7098, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7098.k2', 'modell_image': '2B', 'prime': 2}
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id: 35098
{'conductor': 7098, 'elladic_image': '5.6.0.1', 'lmfdb_label': '7098.k2', 'modell_image': '5B', 'prime': 5}
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lmfdb_iso 7098.k does not appear in ec_padic
