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ec_curvedata • Show schema
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{'Ciso': '139230be', 'Clabel': '139230be2', 'Cnumber': 2, 'abc_quality': 0.8874035651771754, 'absD': 295687278759600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 92820, 'ainvs': [1, -1, 1, -34988, 2387967], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 139230, 'degree': 688128, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5280427328823431140263701138', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 85, 'isogeny_degrees': [1, 2], 'jinv': [6497434355239801, 405606692400], 'lmfdb_iso': '139230.dh', 'lmfdb_label': '139230.dh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3887, -89739], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '204.6.0.?', '1820.6.0.?', '92820.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.22814535226623029593571982813', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97873658854828826832874749534', 'prec': 103}, 'szpiro_ratio': 3.6307230703637874, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -1, 0, 1, 1, 0, -1, 2, 0, -1, 1, 0, 1, 1, 0, 0, -1], 'aplist': [1, 0, -1, 1, 2, -1, 1, 0, -2, -2, 8, -2, 10, 10, 0, -4, -12, -8, -4, -6, 8, -16, 16, -2, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 139230, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '139230.dh', 'trace_hash': 1021468554383918260}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.047071598420992383794884662127', 'prec': 107}, 'conductor': 139230, 'gens': [[155, 741, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.22814535226623029593571982813', 'prec': 103}], 'lmfdb_label': '139230.dh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53728304592172424742454054568', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.767548458734556850488878936147941228', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[347, -351, 2]], 'xcoord_integral_points': [-97, -27, 83, 155, 197, 3431]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '139230.dh1'}
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ec_torsion_growth • Show schema
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id: 6295462
{'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '139230.dh1', 'torsion': [2, 2]}
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id: 6295463
{'degree': 4, 'field': [459, 0, -4, 0, 1], 'lmfdb_label': '139230.dh1', 'torsion': [4]}
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id: 6295465
{'degree': 8, 'field': [-501164, -132560, 77840, 27784, -848, -784, -40, -4, 1], 'lmfdb_label': '139230.dh1', 'torsion': [2, 4]}
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id: 6295466
{'degree': 8, 'field': [-9212, 3140, -3458, 635, -314, -7, 7, -4, 1], 'lmfdb_label': '139230.dh1', 'torsion': [6]}
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id: 6295464
{'degree': 8, 'field': [7081104, 2064576, 478432, 24560, 4988, -712, -64, -4, 1], 'lmfdb_label': '139230.dh1', 'torsion': [2, 4]}
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id: 6295468
{'degree': 16, 'field': [11557970064, 0, -10600760448, 0, -973629440, 0, 7094661, 0, -1153110, 0, -80971, 0, 5865, 0, -102, 0, 1], 'lmfdb_label': '139230.dh1', 'torsion': [2, 6]}
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id: 6295467
{'degree': 16, 'field': [2107488915686025, 0, -384108655522650, 0, 57876919743685, 0, 623726958190, 0, 6082857956, 0, 45257422, 0, 263669, 0, 838, 0, 1], 'lmfdb_label': '139230.dh1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3437591
{'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '139230.dh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 3437592
{'conductor': 139230, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '139230.dh1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3437593
{'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139230.dh1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3437594
{'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '139230.dh1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 3437595
{'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139230.dh1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3437596
{'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139230.dh1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2569035
{'adelic_gens': [[1, 2, 2, 5], [38222, 1, 27299, 0], [92817, 4, 92816, 5], [1, 4, 0, 1], [69616, 23209, 23205, 69616], [74257, 4, 55694, 9], [64261, 4, 35702, 9], [61882, 1, 61879, 0], [13261, 4, 26522, 9], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '92820.12.0.?', 'conductor': 139230, 'lmfdb_label': '139230.dh1', 'prime': 0}
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id: 538473
{'conductor': 139230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '139230.dh1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 139230.dh does not appear in ec_padic