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ec_curvedata • Show schema
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{'Ciso': '2760j', 'Clabel': '2760j1', 'Cnumber': 1, 'abc_quality': 0.9785017344500444, 'absD': 184180331658240, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -32040, 2291328], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2760, 'degree': 10560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4978435844512900730916331220', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-3552342505518244, 179863605135], 'lmfdb_iso': '2760.k', 'lmfdb_label': '2760.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -32040, 2291328], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '184.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.92022093398466898191060635412', 'prec': 103}, 'szpiro_ratio': 5.404746456968796, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 6, 0, 8, 0], 'aplist': [0, 1, 1, 0, 2, 0, 6, 8, -1, -8, -8, -2, 6, 6, -4, -6, 0, 2, -2, 14, 6, 16, 0, 16, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 2760, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2760.k', 'trace_hash': 1428960378982795710}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.050002255283432046528879918138', 'prec': 107}, 'conductor': 2760, 'gens': [], 'heights': [], 'lmfdb_label': '2760.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56215139146311533913789999232', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8107569573155766956894999615984691919', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[-208, 0, 1]], 'xcoord_integral_points': [-208]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [3, 0], '23': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '2760.k2'}
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ec_torsion_growth • Show schema
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id: 143923
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2760.k2', 'torsion': [2, 2]}
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id: 143924
{'degree': 4, 'field': [-135, 0, -14, 0, 1], 'lmfdb_label': '2760.k2', 'torsion': [4]}
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id: 143927
{'degree': 8, 'field': [-3, 0, -28, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '2760.k2', 'torsion': [6]}
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id: 143926
{'degree': 8, 'field': [4416, -2016, -912, 180, 181, 10, -18, -2, 1], 'lmfdb_label': '2760.k2', 'torsion': [2, 4]}
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id: 143925
{'degree': 8, 'field': [8434, 6864, -1091, -370, 641, -92, 15, -2, 1], 'lmfdb_label': '2760.k2', 'torsion': [2, 4]}
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id: 143929
{'degree': 16, 'field': [4624, 0, 4112, 0, -3800, 0, -3176, 0, 965, 0, 736, 0, 178, 0, 20, 0, 1], 'lmfdb_label': '2760.k2', 'torsion': [2, 6]}
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id: 143928
{'degree': 16, 'field': [4072784116996, 0, -71703195056, 0, -18518006472, 0, 367285136, 0, 14837992, 0, -296824, 0, -5292, 0, 64, 0, 1], 'lmfdb_label': '2760.k2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 48953
{'conductor': 2760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2760.k2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 48954
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2760.k2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 48955
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2760.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 48956
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2760.k2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1682038
{'adelic_gens': [[1, 0, 4, 1], [2757, 4, 2756, 5], [922, 1, 919, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1381, 4, 2, 9], [1201, 4, 2402, 9], [554, 1, 1103, 0], [1729, 1036, 344, 2415]], 'adelic_image': '2760.12.0.?', 'conductor': 2760, 'lmfdb_label': '2760.k2', 'prime': 0}
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id: 13866
{'conductor': 2760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2760.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2760.k does not appear in ec_padic