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ec_curvedata • Show schema
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{'Ciso': '7098o', 'Clabel': '7098o3', 'Cnumber': 3, 'abc_quality': 1.0121377482115463, 'absD': 547522009995297792, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -2284377, 1328255164], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 7098, 'degree': 156000, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3655206117828984202854889116', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [124318741396429, 51631104], 'lmfdb_iso': '7098.k', 'lmfdb_label': '7098.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -13517, 603537], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '40.36.0.c.1', '65.24.0-65.a.1.2', '104.6.0.?', '130.72.0.?', '168.6.0.?', '210.36.0.?', '520.144.1.?', '546.6.0.?', '840.72.1.?', '2184.12.0.?', '2730.144.1.?', '10920.288.5.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44180859368674586824537333043', 'prec': 103}, 'szpiro_ratio': 6.263094008283286, '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': '0.0088172854930110652010013672785', 'prec': 110}, 'conductor': 7098, 'gens': [], 'heights': [], 'lmfdb_label': '7098.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28719471032622811487280642008', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4359735516311405743640321003967316995', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[859, -430, 1]], 'xcoord_integral_points': [859]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [3, 0], '5': [6, 0], '7': [3, 0], '13': 'a'}, 'iwp0': 7, 'lmfdb_label': '7098.k1'}
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ec_torsion_growth • Show schema
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id: 373618
{'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '7098.k1', 'torsion': [2, 2]}
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id: 373620
{'degree': 4, 'field': [-49, 69, -24, -1, 1], 'lmfdb_label': '7098.k1', 'torsion': [10]}
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id: 373619
{'degree': 4, 'field': [425, 6, -5, -2, 1], 'lmfdb_label': '7098.k1', 'torsion': [4]}
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id: 373621
{'degree': 8, 'field': [1296, 0, -3672, 0, 216, 0, -102, 0, 1], 'lmfdb_label': '7098.k1', 'torsion': [2, 4]}
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id: 373622
{'degree': 8, 'field': [1444, 0, -490, 0, -111, 0, 56, 0, 1], 'lmfdb_label': '7098.k1', 'torsion': [2, 4]}
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id: 373623
{'degree': 8, 'field': [6152, -6082, 1433, 6, 327, -54, -17, -2, 1], 'lmfdb_label': '7098.k1', 'torsion': [6]}
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id: 373624
{'degree': 8, 'field': [309136, 0, -82268, 0, 5309, 0, -127, 0, 1], 'lmfdb_label': '7098.k1', 'torsion': [2, 10]}
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id: 373626
{'degree': 16, 'field': [68973984, -97337538, -62559621, 18622638, -55389, 9139518, 5708403, -1568226, 249435, 332394, -43223, -6150, 3249, 26, -39, -6, 1], 'lmfdb_label': '7098.k1', 'torsion': [2, 6]}
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id: 373627
{'degree': 16, 'field': [864376496, 1655942720, 1331476856, 594018352, 151753219, 10284824, -8402334, -3471572, -554104, 19672, 36184, 5488, 466, -248, -16, -4, 1], 'lmfdb_label': '7098.k1', 'torsion': [20]}
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id: 373625
{'degree': 16, 'field': [3726511920, 2610729792, 1297432512, 1166678208, 488713104, -11402544, -14926808, 7567456, 626985, -415784, 63484, -1080, -626, -8, 36, -8, 1], 'lmfdb_label': '7098.k1', 'torsion': [8]}
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id: 373628
{'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.k1', 'torsion': [10]}
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ec_localdata • Show schema
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id: 145688
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '7098.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 145689
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7098.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 145690
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '7098.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 145691
{'conductor': 7098, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '7098.k1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1710984
{'adelic_gens': [[8191, 20, 0, 1], [1, 0, 20, 1], [5461, 6, 0, 1], [11, 16, 10680, 10571], [1, 20, 0, 1], [822, 10915, 5585, 10838], [6, 13, 7195, 10736], [10901, 20, 10900, 21], [3126, 13, 3035, 10736], [8737, 20, 0, 1], [1, 10, 10, 101]], 'adelic_image': '10920.288.5.?', 'conductor': 7098, 'lmfdb_label': '7098.k1', 'prime': 0}
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id: 35095
{'conductor': 7098, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7098.k1', 'modell_image': '2B', 'prime': 2}
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id: 35096
{'conductor': 7098, 'elladic_image': '5.6.0.1', 'lmfdb_label': '7098.k1', 'modell_image': '5B', 'prime': 5}
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lmfdb_iso 7098.k does not appear in ec_padic