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ec_curvedata • Show schema
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{'Ciso': '139650ha', 'Clabel': '139650ha3', 'Cnumber': 3, 'abc_quality': 0.9800184983600054, 'absD': 1048292230401298476562500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 15960, 'ainvs': [1, 0, 1, -30337151, 41346947198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 139650, 'degree': 35389440, 'elladic_images': ['8.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3112806197450246757295124434', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 109, 'isogeny_degrees': [1, 2, 4], 'jinv': [1679731262160129361, 570261564022500], 'lmfdb_iso': '139650.ef', 'lmfdb_label': '139650.ef2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24765, -966483], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.3', '24.48.0-24.e.1.2', '140.24.0.?', '152.48.0.?', '280.48.0.?', '456.96.0.?', '840.96.0.?', '5320.96.0.?', '15960.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5336065890003178358764564051', 'prec': 100}, 'szpiro_ratio': 5.342940589122802, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, 4, 1, 6, 0, 0, 1, 2, -1, 1, 0], 'aplist': [-1, 1, 0, 0, 4, 6, 2, 1, 8, -2, -8, 10, -10, -4, -8, 10, 4, 10, 4, 16, 10, 8, 12, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 139650, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '139650.ef', 'trace_hash': 1477457256731958290}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0013300200795052780124054094209', 'prec': 110}, 'conductor': 139650, 'gens': [], 'heights': [], 'lmfdb_label': '139650.ef2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.080488022525650129604744236132', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8634250812312062210277233343506062695', 'prec': 130}, 'tamagawa_product': 768, 'torsion_generators': [[-6093, 3046, 1], [1467, -734, 1]], 'xcoord_integral_points': [-6093, 1467]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 0], '5': 'a', '7': 'a', '19': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '139650.ef2'}
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ec_torsion_growth • Show schema
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id: 6315178
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 4]}
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id: 6315179
{'degree': 4, 'field': [15, -30, 31, -2, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 4]}
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id: 6315180
{'degree': 4, 'field': [219, -6, 7, -2, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 4]}
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id: 6315181
{'degree': 4, 'field': [1565, 60, -59, -2, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 8]}
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id: 6315184
{'degree': 8, 'field': [-17064, -1971, 1512, 917, -455, -7, 7, -4, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 6]}
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id: 6315182
{'degree': 8, 'field': [7785, -1980, 2484, -1044, 613, -112, 42, -4, 1], 'lmfdb_label': '139650.ef2', 'torsion': [4, 4]}
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id: 6315183
{'degree': 8, 'field': [12100, 0, -7380, 0, 1301, 0, -78, 0, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 8]}
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id: 6315189
{'degree': 16, 'field': [7851204, 0, -54645363, 0, 19599330, 0, -3916181, 0, 473075, 0, -38729, 0, 2083, 0, -70, 0, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 12]}
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id: 6315185
{'degree': 16, 'field': [16243161, 83820528, 147735288, 84103008, -10650566, 11309272, 19613540, -9710040, 5277403, -1314520, 385780, -59272, 12574, -1128, 188, -8, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 8]}
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id: 6315187
{'degree': 16, 'field': [43692100, 0, 25951320, 0, 5863216, 0, -2373948, 0, 747429, 0, -82944, 0, 4474, 0, -108, 0, 1], 'lmfdb_label': '139650.ef2', 'torsion': [4, 8]}
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id: 6315186
{'degree': 16, 'field': [48419379, -35313264, 49213692, -30850488, 23492832, -10963560, 5916120, -2194104, 884533, -250280, 77380, -16256, 3862, -560, 100, -8, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 8]}
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id: 6315188
{'degree': 16, 'field': [5731408369296, 0, -37511598960, 0, 152115457896, 0, -7549929000, 0, 60506136, 0, 4062060, 0, 30026, 0, 130, 0, 1], 'lmfdb_label': '139650.ef2', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 3449430
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139650.ef2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3449431
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '139650.ef2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 3449432
{'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '139650.ef2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3449433
{'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '139650.ef2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3449434
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '139650.ef2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2571708
{'adelic_gens': [[4201, 4, 0, 1], [3, 3998, 3982, 15939], [1, 0, 8, 1], [7, 11976, 15954, 3985], [5327, 2, 15942, 15955], [6383, 15952, 9572, 15927], [2279, 15952, 9116, 15927], [15953, 8, 15952, 9], [5, 4, 15956, 15957], [1, 8, 0, 1]], 'adelic_image': '15960.192.1.?', 'conductor': 139650, 'lmfdb_label': '139650.ef2', 'prime': 0}
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id: 539967
{'conductor': 139650, 'elladic_image': '8.24.0.9', 'lmfdb_label': '139650.ef2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 139650.ef does not appear in ec_padic