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ec_curvedata • Show schema
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{'Ciso': '139425x', 'Clabel': '139425x1', 'Cnumber': 1, 'abc_quality': 1.0878174093384134, 'absD': 1457949796875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 1, 1, 2817, -7081], 'analytic_rank': 2, 'bad_primes': [3, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 139425, 'degree': 165888, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0233719787641027264099700939', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1], 'jinv': [5537792, 3267], 'lmfdb_iso': '139425.z', 'lmfdb_label': '139425.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 113, -102], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.66051614980578429710881603381', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63633009660679303957490538657', 'prec': 107}, 'szpiro_ratio': 2.9922066038435284, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, -2, 0, 0, -1, 0, 1, 0, -1, -2, 0, 0, 0, 4, -2, 0, -4, 0], 'aplist': [0, 1, 0, -1, -1, 0, -2, -4, -4, -8, -3, -10, -8, 7, -8, 10, 8, 13, -11, -6, 13, -7, 6, 8, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 139425, 'isogeny_matrix': [[1]], 'lmfdb_iso': '139425.z', 'trace_hash': 287275381581421937}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12915475305440561205670687458', 'prec': 103}, 'conductor': 139425, 'gens': [[303, 5362, 1], [17, 214, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54792632160247122545095934494', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.2122029194127323886808334811', 'prec': 100}], 'lmfdb_label': '139425.z1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.49903217297156365520270759846', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.866277142734090427915579360359681589', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [3, 17, 69, 237, 303, 1437, 18503]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 10, 0], '3': [3, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': 'a', '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '139425.z1'}
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ec_torsion_growth • Show schema
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id: 6304128
{'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '139425.z1', 'torsion': [2]}
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id: 6304129
{'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '139425.z1', 'torsion': [2, 2]}
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id: 6304130
{'degree': 8, 'field': [-1056, 2484, -2403, 952, -26, -134, 28, -2, 1], 'lmfdb_label': '139425.z1', 'torsion': [3]}
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id: 6304131
{'degree': 12, 'field': [1512486, 3720600, 0, 718692, 385700, 20800, 12844, -2600, -400, -182, 0, 0, 1], 'lmfdb_label': '139425.z1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3442668
{'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '139425.z1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 3442669
{'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '139425.z1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3442670
{'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139425.z1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3442671
{'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '139425.z1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 139425, 'lmfdb_label': '139425.z1', 'prime': 0}
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lmfdb_iso 139425.z does not appear in ec_padic