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ec_curvedata • Show schema
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{'Ciso': '116160id', 'Clabel': '116160id4', 'Cnumber': 4, 'abc_quality': 1.07876989573691, 'absD': 6871931397048655872000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, -15255841, -22590827041], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 116160, 'degree': 11796480, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9866996438701091538694030539', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 127, 'isogeny_degrees': [1, 2, 4], 'jinv': [3382175663521924, 59189241375], 'lmfdb_iso': '116160.ex', 'lmfdb_label': '116160.ex1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -31520, -2131632], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.z.1.14', '88.24.0.?', '220.12.0.?', '440.48.0.?'], '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, 'serre_invariants': [[2, 2, 605], [3, 4, 7744], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843631', 'prec': 103}, 'szpiro_ratio': 5.250490623184189, '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, -4, 0, 1, 0, 0, 0, -6, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, -4, 0, -6, 2, 4, 8, 6, 0, 2, -2, 8, 0, 2, 4, -10, 12, 16, -6, 8, 16, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 116160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '116160.ex', 'trace_hash': 837552943489798857}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0025455735580750728864421798479', 'prec': 110}, 'conductor': 116160, 'gens': [], 'heights': [], 'lmfdb_label': '116160.ex1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.076471862819154717838296103518', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4470996102129509708254753125615057585', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-2479, 0, 1]], 'xcoord_integral_points': [-2479]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '116160.ex1'}
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ec_torsion_growth • Show schema
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id: 5328534
{'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 2]}
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id: 5328535
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [4]}
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id: 5328536
{'degree': 2, 'field': [110, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [4]}
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id: 5328537
{'degree': 4, 'field': [729, 0, 56, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 4]}
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id: 5328541
{'degree': 8, 'field': [-9075, 0, -3718, 0, -330, 0, 0, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [6]}
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id: 5328539
{'degree': 8, 'field': [729, 0, 206, 0, 30, 0, 6, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [8]}
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id: 5328538
{'degree': 8, 'field': [2401, 0, -1372, 0, 239, 0, -28, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 4]}
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id: 5328540
{'degree': 8, 'field': [9801, 0, 1188, 0, 199, 0, 2, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [8]}
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id: 5328542
{'degree': 16, 'field': [93636, -117504, 73728, -62952, 49648, -17712, 4296, 124, -3947, 2612, -856, 236, 58, -76, 32, -8, 1], 'lmfdb_label': '116160.ex1', 'torsion': [4, 4]}
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id: 5328546
{'degree': 16, 'field': [149769, 0, 507384, 0, 556740, 0, 20228, 0, -9490, 0, 1448, 0, 40, 0, 4, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [12]}
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id: 5328544
{'degree': 16, 'field': [289161, 189696, 102076, -415016, -139782, 224456, 202184, -155088, -53957, 46456, 5176, -6768, 218, 392, -36, -8, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 8]}
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id: 5328545
{'degree': 16, 'field': [944784, 0, 559872, 0, -2764368, 0, -62208, 0, -666120, 0, -14656, 0, 2856, 0, 0, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 6]}
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id: 5328543
{'degree': 16, 'field': [2624400, 0, 1075680, 0, 381744, 0, 79232, 0, 7820, 0, 1520, 0, 220, 0, -8, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [2, 8]}
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id: 5328547
{'degree': 16, 'field': [684628686, -332408448, 336224196, -291017016, 198148158, -96362124, 31068300, -5934068, 697836, -61320, -1246, 2340, 180, -52, -24, 0, 1], 'lmfdb_label': '116160.ex1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 2858771
{'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '116160.ex1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2858772
{'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '116160.ex1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
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id: 2858773
{'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '116160.ex1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2858774
{'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '116160.ex1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2423374
{'adelic_gens': [[96, 3, 5, 2], [1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [1, 4, 4, 17], [384, 157, 381, 352], [381, 382, 262, 45], [7, 6, 434, 435], [36, 439, 97, 434]], 'adelic_image': '440.48.0.?', 'conductor': 116160, 'lmfdb_label': '116160.ex1', 'prime': 0}
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id: 458349
{'conductor': 116160, 'elladic_image': '8.12.0.7', 'lmfdb_label': '116160.ex1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 116160.ex does not appear in ec_padic