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ec_curvedata • Show schema
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{'Ciso': '141120oh', 'Clabel': '141120oh2', 'Cnumber': 2, 'abc_quality': 0.9879622850709514, 'absD': 5100326977536000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, 0, 0, 229908, -100029776], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 1769472, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2724540044523665103328997786', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 319, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1613964717, 6125000], 'lmfdb_iso': '141120.mh', 'lmfdb_label': '141120.mh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 660, -15544], 'min_quad_twist_disc': 168, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '42.24.0-6.a.1.1', '60.24.0-6.a.1.11', '120.48.0.?', '168.48.0.?', '280.6.0.?', '420.48.0.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8547302213100814915849864491', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.014874913082235529194436084539', 'prec': 110}, 'szpiro_ratio': 4.247579353102966, '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, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 1, 0, 0, 2, 0, 2, 0, 6, -8, 4, 6, -2, -6, 6, -12, 8, -2, -6, -2, -16, 0, 6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '141120.mh', 'trace_hash': 131585329705452750}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010621149722509610564224844993', 'prec': 107}, 'conductor': 141120, 'gens': [[413, 8085, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8547302213100814915849864491', 'prec': 100}], 'lmfdb_label': '141120.mh4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12311723543375161817501182678', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.4351958261650999315594426436304028291', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[308, 0, 1]], 'xcoord_integral_points': [308, 413, 5208]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.mh4'}
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ec_torsion_growth • Show schema
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id: 6379706
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 2]}
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id: 6379707
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [6]}
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id: 6379708
{'degree': 4, 'field': [-24, 0, -3, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [4]}
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id: 6379709
{'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 6]}
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id: 6379710
{'degree': 6, 'field': [-1512, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [6]}
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id: 6379713
{'degree': 8, 'field': [625, 0, 50, 0, -54, 0, 2, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [12]}
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id: 6379712
{'degree': 8, 'field': [900, 0, 3060, 0, 141, 0, 18, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 4]}
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id: 6379711
{'degree': 8, 'field': [4900, 0, -3584, 0, 858, 0, -32, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 4]}
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id: 6379714
{'degree': 12, 'field': [3249, -342, -819, 2190, -750, -462, 253, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '141120.mh4', 'torsion': [3, 6]}
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id: 6379715
{'degree': 12, 'field': [43681, 0, 54216, 0, 18180, 0, 4334, 0, 540, 0, 36, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 6]}
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id: 6379717
{'degree': 16, 'field': [57600, 0, 82944, 0, 40224, 0, 4608, 0, -1292, 0, -368, 0, 42, 0, 16, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 12]}
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id: 6379718
{'degree': 16, 'field': [390625, 0, 656250, 0, 441250, 0, 168000, 0, 41775, 0, 6720, 0, 706, 0, 42, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [2, 12]}
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id: 6379716
{'degree': 16, 'field': [2483776, 0, 10109888, 0, -14849392, 0, 2232416, 0, 44260, 0, 9916, 0, -1027, 0, -2, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [8]}
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id: 6379719
{'degree': 18, 'field': [336140000, 0, -388962000, 0, 144265800, 0, -13449324, 0, -2247336, 0, 737940, 0, -44940, 0, 0, 0, 84, 0, 1], 'lmfdb_label': '141120.mh4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 3486779
{'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '141120.mh4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3486780
{'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '141120.mh4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3486781
{'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '141120.mh4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 3486782
{'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '141120.mh4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2581116
{'adelic_gens': [[675, 808, 638, 797], [152, 11, 525, 808], [337, 12, 342, 73], [830, 837, 447, 8], [1, 0, 12, 1], [599, 828, 234, 767], [829, 12, 828, 13], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 790, 831]], 'adelic_image': '840.96.1.?', 'conductor': 141120, 'lmfdb_label': '141120.mh4', 'prime': 0}
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id: 545257
{'conductor': 141120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141120.mh4', 'modell_image': '2B', 'prime': 2}
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id: 545258
{'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.mh4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 141120.mh does not appear in ec_padic