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ec_curvedata • Show schema
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{'Ciso': '2550k', 'Clabel': '2550k3', 'Cnumber': 3, 'abc_quality': 1.0024850789671809, 'absD': 7470703125000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [1, 0, 1, -163526, -25465552], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2550, 'degree': 18432, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6052518699278998878044759767', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [30949975477232209, 478125000], 'lmfdb_iso': '2550.n', 'lmfdb_label': '2550.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6541, -206341], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '40.24.0-8.m.1.2', '136.24.0.?', '340.12.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80053291371084970050409631009', 'prec': 103}, 'szpiro_ratio': 6.071990711887165, '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, 0, -1, 4, -1, 1, 0, -4, 1, 2, -4, 0, 1, -1, -1, -4, 0], 'aplist': [-1, 1, 0, 4, -4, 2, -1, -4, 4, 2, 4, 6, 2, 12, -8, 2, 12, 2, -4, -4, 14, -12, 4, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 2550, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2550.n', 'trace_hash': 528800710872567076}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.040336289156944106129248760759', 'prec': 107}, 'conductor': 2550, 'gens': [], 'heights': [], 'lmfdb_label': '2550.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23741249492614954371928989568', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8992999594091963497543191654768589863', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-937, 933, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 2], '3': [1, 0], '5': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2550.n1'}
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ec_torsion_growth • Show schema
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id: 132167
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 2]}
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id: 132168
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [4]}
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id: 132169
{'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [4]}
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id: 132170
{'degree': 4, 'field': [121, 0, -12, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 4]}
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id: 132174
{'degree': 8, 'field': [36, -171, 162, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '2550.n1', 'torsion': [6]}
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id: 132172
{'degree': 8, 'field': [2299, -924, 1054, -272, 167, -40, 18, -4, 1], 'lmfdb_label': '2550.n1', 'torsion': [8]}
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id: 132171
{'degree': 8, 'field': [42436, 0, -40720, 0, -12, 0, -40, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 4]}
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id: 132173
{'degree': 8, 'field': [247606, 7454, -14561, -5062, 1773, 154, -59, -2, 1], 'lmfdb_label': '2550.n1', 'torsion': [8]}
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id: 132176
{'degree': 16, 'field': [664169, 68728, -58520, -56536, 126056, -135528, 67552, -4624, -14215, 6104, 2484, -1480, -178, 168, -4, -8, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 8]}
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id: 132177
{'degree': 16, 'field': [55749150, -62853300, 36119370, -4284300, -3090701, 378388, 1298050, -523356, -48099, 70340, -2106, -6740, 969, 252, -50, -4, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 8]}
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id: 132179
{'degree': 16, 'field': [59549360, -41875480, 53682825, -25116780, 16379070, -4762710, 1867351, -204608, 3135, 38230, -13817, 3288, -457, -70, 30, -8, 1], 'lmfdb_label': '2550.n1', 'torsion': [12]}
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id: 132175
{'degree': 16, 'field': [12003612721, 0, 0, 0, 152008636, 0, 0, 0, 1514166, 0, 0, 0, -1124, 0, 0, 0, 1], 'lmfdb_label': '2550.n1', 'torsion': [4, 4]}
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id: 132180
{'degree': 16, 'field': [18764553560, -2699187040, 2977714920, -585062940, 364087140, -90204840, 37395481, -6474368, 1860150, -159770, 30733, 588, -7, -70, 30, -8, 1], 'lmfdb_label': '2550.n1', 'torsion': [12]}
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id: 132178
{'degree': 16, 'field': [1671516114750, 394549579800, -352955925315, -80709277980, 34250906580, 7070866490, -1940697625, -344033440, 70283501, 10137062, -1685077, -181856, 26275, 1834, -242, -8, 1], 'lmfdb_label': '2550.n1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 44249
{'conductor': 2550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2550.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 44250
{'conductor': 2550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2550.n1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 44251
{'conductor': 2550, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '2550.n1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 44252
{'conductor': 2550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2550.n1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1680630
{'adelic_gens': [[556, 545, 375, 6], [543, 0, 0, 679], [1, 0, 8, 1], [673, 8, 672, 9], [1, 8, 0, 1], [1, 4, 4, 17], [256, 195, 225, 526], [531, 120, 210, 261], [7, 6, 674, 675]], 'adelic_image': '680.48.0.?', 'conductor': 2550, 'lmfdb_label': '2550.n1', 'prime': 0}
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id: 12753
{'conductor': 2550, 'elladic_image': '8.12.0.11', 'lmfdb_label': '2550.n1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2550.n does not appear in ec_padic