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ec_curvedata • Show schema
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{'Ciso': '2760j', 'Clabel': '2760j2', 'Cnumber': 2, 'abc_quality': 1.0140389368616658, 'absD': 36784598169600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -518720, 143623200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2760, 'degree': 21120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8444171747312627278002491828', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [7536914291382802562, 17961229575], 'lmfdb_iso': '2760.k', 'lmfdb_label': '2760.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -518720, 143623200], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '184.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '1.2090322592179795275011197381', 'prec': 100}, 'szpiro_ratio': 6.448448069879518, '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': '0.025001127641716023264439959069', 'prec': 107}, 'conductor': 2760, 'gens': [], 'heights': [], 'lmfdb_label': '2760.k1', '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': [[415, 0, 1]], 'xcoord_integral_points': [415]}
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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.k1'}
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ec_torsion_growth • Show schema
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id: 143930
{'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [2, 2]}
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id: 143931
{'degree': 4, 'field': [46, 0, 7, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [4]}
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id: 143934
{'degree': 8, 'field': [-3, 0, -28, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [6]}
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id: 143932
{'degree': 8, 'field': [9, 0, 5068, 0, -1270, 0, -28, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [2, 4]}
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id: 143933
{'degree': 8, 'field': [30984, -3648, 3796, -340, 281, -136, 50, -4, 1], 'lmfdb_label': '2760.k1', 'torsion': [2, 4]}
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id: 143935
{'degree': 16, 'field': [11478122496, 0, 1272086532, 0, 992181393, 0, 55267974, 0, 1616175, 0, -17496, 0, 543, 0, -18, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [8]}
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id: 143936
{'degree': 16, 'field': [19922555513961, 0, -3494775098952, 0, 266269579236, 0, -11564986624, 0, 313820126, 0, -5451976, 0, 59236, 0, -368, 0, 1], 'lmfdb_label': '2760.k1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 48957
{'conductor': 2760, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '2760.k1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 48958
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2760.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 48959
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2760.k1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 48960
{'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2760.k1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1682037
{'adelic_gens': [[1, 2, 2, 5], [2402, 1, 1559, 0], [1, 4, 0, 1], [1841, 4, 922, 9], [2757, 4, 2756, 5], [1657, 4, 554, 9], [2, 1, 1379, 0], [1, 0, 4, 1], [1036, 1729, 345, 2416], [3, 4, 8, 11]], 'adelic_image': '2760.12.0.?', 'conductor': 2760, 'lmfdb_label': '2760.k1', 'prime': 0}
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id: 13865
{'conductor': 2760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2760.k1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2760.k does not appear in ec_padic