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ec_curvedata • Show schema
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{'Ciso': '7098y', 'Clabel': '7098y2', 'Cnumber': 2, 'abc_quality': 1.0497695416657888, 'absD': 12713603994, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 10920, 'ainvs': [1, 0, 0, -322, -5890], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 7098, 'degree': 4800, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62490056711505251966698158491', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-1680914269, 5786802], 'lmfdb_iso': '7098.bc', 'lmfdb_label': '7098.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -322, -5890], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '40.36.0.f.2', '65.24.0-65.a.2.2', '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': '-0.016336772250331664346390275481', 'prec': 110}, 'szpiro_ratio': 3.4819055494634177, '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.bc', 'trace_hash': 908481420297379413}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.28656177852285961903254443655', 'prec': 103}, 'conductor': 7098, 'gens': [], 'heights': [], 'lmfdb_label': '7098.bc4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51774762706162135807616987525', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1774762706162135807616987524909796268', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[95, -95, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': [3, 0], '5': [2, 0], '7': [0, 0], '13': 'a'}, 'iwp0': 7, 'lmfdb_label': '7098.bc4'}
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ec_torsion_growth • Show schema
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id: 373746
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [2, 2]}
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id: 373747
{'degree': 4, 'field': [-234, 0, 39, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [4]}
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id: 373748
{'degree': 4, 'field': [3, 4, 2, -1, 1], 'lmfdb_label': '7098.bc4', 'torsion': [10]}
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id: 373752
{'degree': 8, 'field': [81, -36, 0, -62, 40, -8, 13, -2, 1], 'lmfdb_label': '7098.bc4', 'torsion': [2, 10]}
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id: 373750
{'degree': 8, 'field': [4096, 0, -2048, 0, 410, 0, -32, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [2, 4]}
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id: 373751
{'degree': 8, 'field': [11274, 20022, 7764, -787, -856, 167, -17, -2, 1], 'lmfdb_label': '7098.bc4', 'torsion': [6]}
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id: 373749
{'degree': 8, 'field': [311364, 0, 27252, 0, 253, 0, 4, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [2, 4]}
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id: 373755
{'degree': 16, 'field': [31833, 69336, 41391, -33768, -23277, 11868, 22432, -13006, 2181, -3446, 1646, 576, -322, 34, 12, -4, 1], 'lmfdb_label': '7098.bc4', 'torsion': [20]}
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id: 373754
{'degree': 16, 'field': [69696, 0, 12545856, 0, 29813904, 0, 2540168, 0, 603176, 0, 26834, 0, 3220, 0, 28, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [2, 6]}
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id: 373753
{'degree': 16, 'field': [92832339856, 0, -19255991204, 0, -1312151687, 0, 41102026, 0, -1606997, 0, -85736, 0, 5299, 0, -86, 0, 1], 'lmfdb_label': '7098.bc4', 'torsion': [8]}
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id: 373756
{'degree': 20, 'field': [-208634636704, -487609059392, -367541150912, 352626489280, 45457167536, -73423368940, 8185505236, 3745989508, -424458020, -230141842, 26671749, 13655252, -2948785, -185570, 110852, -8206, -1736, 436, -21, -6, 1], 'lmfdb_label': '7098.bc4', 'torsion': [10]}
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ec_localdata • Show schema
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id: 145752
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7098.bc4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 145753
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '7098.bc4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 145754
{'conductor': 7098, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7098.bc4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 145755
{'conductor': 7098, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7098.bc4', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1710961
{'adelic_gens': [[8402, 15, 5845, 10658], [1, 0, 20, 1], [11, 16, 10680, 10571], [1, 20, 0, 1], [7801, 20, 1570, 201], [3641, 20, 3650, 201], [10901, 20, 10900, 21], [5466, 5, 2785, 46], [16, 5, 5415, 10906], [1, 10, 10, 101], [4371, 20, 10900, 10787]], 'adelic_image': '10920.288.5.?', 'conductor': 7098, 'lmfdb_label': '7098.bc4', 'prime': 0}
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id: 35079
{'conductor': 7098, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7098.bc4', 'modell_image': '2B', 'prime': 2}
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id: 35080
{'conductor': 7098, 'elladic_image': '5.6.0.1', 'lmfdb_label': '7098.bc4', 'modell_image': '5B', 'prime': 5}
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lmfdb_iso 7098.bc does not appear in ec_padic