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ec_curvedata • Show schema
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{'Ciso': '154800dy', 'Clabel': '154800dy1', 'Cnumber': 1, 'abc_quality': 0.9150295779095658, 'absD': 1857600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2580, 'ainvs': [0, 0, 0, -3075, -2750], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 154800, 'degree': 196608, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0436989779372710519180131066', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [1860867, 1075], 'lmfdb_iso': '154800.n', 'lmfdb_label': '154800.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -8, 2], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '258.6.0.?', '860.6.0.?', '2580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.0191714044485290962487132704', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72882023100675186764840999070', 'prec': 107}, 'szpiro_ratio': 2.9880430567935443, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -6, 0], 'aplist': [0, 0, 0, -4, 0, -2, 2, -6, 6, -6, -4, -4, 0, -1, -10, 2, 4, 6, -12, 0, 4, -4, -6, -10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 154800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '154800.n', 'trace_hash': 2066464915299409769}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12400939428615653814269453118', 'prec': 103}, 'conductor': 154800, 'gens': [[95, 750, 1], [-30, 250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1241582495779797101697124579', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.8012953900531322698848101673', 'prec': 100}], 'lmfdb_label': '154800.n2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.70041541476224997485269827094', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.314070213783130407234136844285945188', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-55, 0, 1]], 'xcoord_integral_points': [-55, -49, -30, -15, -1, 66, 95, 185, 945]}
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lmfdb_label 154800.n2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6945361
{'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '154800.n2', 'torsion': [2, 2]}
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id: 6945362
{'degree': 4, 'field': [85, 10, 6, -2, 1], 'lmfdb_label': '154800.n2', 'torsion': [4]}
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id: 6945365
{'degree': 8, 'field': [-46875, 0, 0, 0, 750, 0, -55, 0, 1], 'lmfdb_label': '154800.n2', 'torsion': [6]}
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id: 6945363
{'degree': 8, 'field': [14400, 0, -6300, 0, -849, 0, -12, 0, 1], 'lmfdb_label': '154800.n2', 'torsion': [2, 4]}
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id: 6945364
{'degree': 8, 'field': [96100, 0, -24620, 0, 1821, 0, -17, 0, 1], 'lmfdb_label': '154800.n2', 'torsion': [2, 4]}
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id: 6945366
{'degree': 16, 'field': [1843741681, -2585978508, 2163164716, -830607292, 112809940, -1077948, 3122788, 6711924, -1155002, -252644, 55348, 6476, 884, 44, -68, -4, 1], 'lmfdb_label': '154800.n2', 'torsion': [8]}
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id: 6945367
{'degree': 16, 'field': [190423140625, 0, -63512938250, 0, 7035898975, 0, -233320000, 0, -5184175, 0, 253520, 0, -1625, 0, -50, 0, 1], 'lmfdb_label': '154800.n2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3829160
{'conductor': 154800, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '154800.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3829161
{'conductor': 154800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '154800.n2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3829162
{'conductor': 154800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '154800.n2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3829163
{'conductor': 154800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '154800.n2', 'prime': 43, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2666846
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1724, 1, 859, 0], [1, 2, 2, 5], [1382, 1, 599, 0], [1, 4, 0, 1], [649, 1936, 644, 1935], [2577, 4, 2576, 5], [517, 4, 1034, 9]], 'adelic_image': '2580.12.0.?', 'conductor': 154800, 'lmfdb_label': '154800.n2', 'prime': 0}
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id: 592218
{'conductor': 154800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '154800.n2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 154800.n does not appear in ec_padic