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ec_curvedata • Show schema
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{'Ciso': '389376j', 'Clabel': '389376j1', 'Cnumber': 1, 'abc_quality': 0.9385602803090504, 'absD': 2885460864658684416, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 312, 'ainvs': [0, 0, 0, -303186, -103962040], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 389376, 'degree': 5271552, 'elladic_images': ['2.3.0.1', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2386482421990678850639038458', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-778688, 729], 'lmfdb_iso': '389376.j', 'lmfdb_label': '389376.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -199, 1819], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '12.18.0.i.1', '24.36.0.i.1', '39.6.0.b.1', '78.18.0.?', '104.6.0.?', '156.36.1.?', '312.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75423030565109849473675844493', 'prec': 107}, 'szpiro_ratio': 3.918663753294293, '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, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, 6, 0], 'aplist': [0, 0, -2, 0, -4, 0, -6, 6, 0, 6, 0, -6, -2, -12, 8, -6, 4, -8, 6, 4, 12, -6, 8, -2, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 389376, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '389376.j', 'trace_hash': 788490382452867247}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011364094669242492209846175523', 'prec': 107}, 'conductor': 389376, 'gens': [], 'heights': [], 'lmfdb_label': '389376.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.097960786023180898008433057246', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.39184314409272359203373222898607347817', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[676, 0, 1]], 'xcoord_integral_points': [676]}
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lmfdb_label 389376.j2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 16100575
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [2, 2]}
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id: 16100576
{'degree': 4, 'field': [-26, 0, -52, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [4]}
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id: 16100579
{'degree': 8, 'field': [-2028, 0, -5408, 0, 156, 0, 0, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [6]}
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id: 16100578
{'degree': 8, 'field': [676, 0, -1352, 0, 2730, 0, 52, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [2, 4]}
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id: 16100577
{'degree': 8, 'field': [20250, -16848, 2736, -2808, 1516, 0, 76, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [2, 4]}
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id: 16100580
{'degree': 16, 'field': [-16709, 41328, -183208, 354960, -397244, 330840, -441568, 158400, -31946, 47376, 25856, -4608, 1300, -216, -64, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [8]}
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id: 16100581
{'degree': 16, 'field': [4112784, 0, -10967424, 0, 29562832, 0, 843648, 0, 26364, 0, -10816, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [3, 6]}
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id: 16100582
{'degree': 16, 'field': [333135504, 0, 148060224, 0, 27524016, 0, 1898208, 0, 83148, 0, 2704, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '389376.j2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9635288
{'conductor': 389376, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '389376.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9635289
{'conductor': 389376, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '389376.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9635290
{'conductor': 389376, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '389376.j2', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4082709
{'adelic_gens': [[4, 3, 177, 16], [7, 12, 144, 247], [9, 8, 268, 273], [1, 0, 12, 1], [209, 12, 6, 73], [1, 6, 6, 37], [301, 12, 300, 13], [300, 181, 149, 294], [1, 12, 0, 1], [224, 7, 97, 292]], 'adelic_image': '312.72.3.?', 'conductor': 389376, 'lmfdb_label': '389376.j2', 'prime': 0}
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id: 1328769
{'conductor': 389376, 'elladic_image': '2.3.0.1', 'lmfdb_label': '389376.j2', 'modell_image': '2B', 'prime': 2}
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id: 1328770
{'conductor': 389376, 'elladic_image': '3.3.0.1', 'lmfdb_label': '389376.j2', 'modell_image': '3Nn', 'prime': 3}
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lmfdb_iso 389376.j does not appear in ec_padic