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ec_curvedata • Show schema
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{'Ciso': '221760ni', 'Clabel': '221760ni3', 'Cnumber': 3, 'abc_quality': 0.944857169456939, 'absD': 4922744170453401600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 0, 0, 151092, -104327568], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 221760, 'degree': 3981312, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2675079439994273780734870468', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 137, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [73929353373, 954060800], 'lmfdb_iso': '221760.fh', 'lmfdb_label': '221760.fh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 2361, -204355], 'min_quad_twist_disc': 8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.3', '60.24.0.s.1', '120.48.0.?', '462.24.0.?', '1540.6.0.?', '1848.48.0.?', '4620.48.1.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3079295478941429651965410509', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40382795665842714540120493692', 'prec': 103}, 'szpiro_ratio': 4.09844824127725, '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, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -1, 1, 1, -2, -6, 4, -6, -6, 2, -2, 12, -8, -12, -6, 12, 10, 4, 12, 2, -10, 18, -6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 221760, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '221760.fh', 'trace_hash': 588075543383808188}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010726736798777478890332099604', 'prec': 107}, 'conductor': 221760, 'gens': [[501, 9855, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3079295478941429651965410509', 'prec': 100}], 'lmfdb_label': '221760.fh4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11928067522388473355562625043', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1662329434768543253020149125939089433', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[366, 0, 1]], 'xcoord_integral_points': [366, 501, 4462]}
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lmfdb_label 221760.fh4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9653395
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [6]}
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id: 9653394
{'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 2]}
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id: 9653396
{'degree': 4, 'field': [-231, 0, -96, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [4]}
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id: 9653397
{'degree': 4, 'field': [1600, 0, -74, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 6]}
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id: 9653398
{'degree': 6, 'field': [30617, -2100, 12, -350, -6, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [6]}
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id: 9653401
{'degree': 8, 'field': [346, 1020, 2398, 900, -117, -120, -2, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [12]}
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id: 9653400
{'degree': 8, 'field': [3600, 0, 1440, 0, 3729, 0, 24, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 4]}
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id: 9653399
{'degree': 8, 'field': [1121008, -252224, 268478, -32396, 15919, 332, -106, -4, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 4]}
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id: 9653402
{'degree': 12, 'field': [6162799, 3862710, -2246607, -3052786, 1085820, 506502, -132307, -30414, 6492, 730, -135, -6, 1], 'lmfdb_label': '221760.fh4', 'torsion': [3, 6]}
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id: 9653403
{'degree': 12, 'field': [30622615864, -1690422720, 28776108, -281853040, 6612090, 38640, 997865, 0, 60, -1610, -12, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 6]}
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id: 9653406
{'degree': 16, 'field': [77334436, 0, -22517128, 0, 5975584, 0, -684412, 0, 91189, 0, -3232, 0, 442, 0, 20, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 12]}
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id: 9653404
{'degree': 16, 'field': [4978713600, 0, 4489344000, 0, -807779520, 0, 36797760, 0, -619344, 0, 8352, 0, 1164, 0, -12, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [8]}
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id: 9653405
{'degree': 16, 'field': [15352201216, 0, -65421312, 0, 1220152384, 0, -88427328, 0, 721524, 0, 210492, 0, 6397, 0, -180, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [2, 12]}
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id: 9653407
{'degree': 18, 'field': [14833065623136, 0, 10608792405552, 0, 741470762088, 0, 3207341460, 0, -846700776, 0, -4923936, 0, 453468, 0, -1128, 0, -90, 0, 1], 'lmfdb_label': '221760.fh4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 5500980
{'conductor': 221760, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '221760.fh4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5500981
{'conductor': 221760, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '221760.fh4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5500982
{'conductor': 221760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '221760.fh4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5500983
{'conductor': 221760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '221760.fh4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5500984
{'conductor': 221760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '221760.fh4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 3079667
{'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 9190, 9231], [4619, 0, 0, 9239], [4631, 9228, 4632, 9227], [6148, 9229, 6195, 4652], [7250, 9237, 8607, 4628], [9229, 9238, 4670, 4629], [5001, 6542, 7294, 8839], [7130, 9237, 8007, 4628], [3697, 12, 3702, 73], [1, 0, 12, 1], [9229, 12, 9228, 13]], 'adelic_image': '9240.96.1.?', 'conductor': 221760, 'lmfdb_label': '221760.fh4', 'prime': 0}
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id: 812571
{'conductor': 221760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '221760.fh4', 'modell_image': '2B', 'prime': 2}
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id: 812572
{'conductor': 221760, 'elladic_image': '3.4.0.1', 'lmfdb_label': '221760.fh4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 221760.fh does not appear in ec_padic