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ec_curvedata • Show schema
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{'Ciso': '189618j', 'Clabel': '189618j4', 'Cnumber': 4, 'abc_quality': 1.002844252125528, 'absD': 8527408942700901249012436992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 29172, 'ainvs': [1, 0, 0, -498053228, -6167895603312], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 189618, 'degree': 153280512, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0611140885299172870306205522', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-2830680648734534916567625, 1766676274677722124288], 'lmfdb_iso': '189618.br', 'lmfdb_label': '189618.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2947061, -2807643904], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.2', '68.6.0.a.1', '78.24.0.?', '132.24.0.?', '204.24.0.?', '1716.48.0.?', '2244.48.1.?', '2652.48.0.?', '29172.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7786394097991489190038768314', 'prec': 100}, 'szpiro_ratio': 5.959456880747505, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, 4, 1, 1, 0, -1, 1, 0, 4, 0, 1, 1, 1, -2, 0], 'aplist': [1, 1, 0, 4, -1, 0, 1, -2, 0, -6, -8, -2, 6, 2, 6, 6, -6, -4, 16, -12, 4, 8, 12, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 189618, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '189618.br', 'trace_hash': 479121244759153208}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00029686645193861565553454402572', 'prec': 113}, 'conductor': 189618, 'gens': [], 'heights': [], 'lmfdb_label': '189618.br2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.015539314208347085820905596224', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7129837380059410746312175687667812176', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[107839, -107839, 2]], 'xcoord_integral_points': []}
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lmfdb_label 189618.br2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8353826
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '189618.br2', 'torsion': [6]}
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id: 8353825
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 2]}
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id: 8353827
{'degree': 4, 'field': [-2873, 0, -104, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [4]}
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id: 8353828
{'degree': 4, 'field': [66, -54, 55, -2, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 6]}
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id: 8353829
{'degree': 6, 'field': [91049712, -200304, 28629, -19057, -6, -3, 1], 'lmfdb_label': '189618.br2', 'torsion': [6]}
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id: 8353832
{'degree': 8, 'field': [144, 0, 3948, 0, 808, 0, 43, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [12]}
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id: 8353830
{'degree': 8, 'field': [1399368, -790296, 40894, 11934, 6285, -442, -120, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 4]}
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id: 8353831
{'degree': 8, 'field': [2775556, 0, -248540, 0, 15317, 0, -68, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 4]}
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id: 8353834
{'degree': 12, 'field': [345582900, -6774300, 8608302, -3704490, 1943595, -109980, 37207, -366, -30, 70, -3, -6, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 6]}
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id: 8353833
{'degree': 12, 'field': [161133167737776, 1642677577632, -229555330164, 141464436, -492889491, -38803185, 25887607, -203664, -18444, -16, 15, -3, 1], 'lmfdb_label': '189618.br2', 'torsion': [3, 6]}
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id: 8353837
{'degree': 16, 'field': [78313576, -777737760, 3692426840, -923964280, 122856190, 3531172, 19384922, -8056504, 2896945, -723248, 119630, -14008, 1612, -476, 44, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 12]}
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id: 8353836
{'degree': 16, 'field': [89653392, -278240832, 200995488, 92897568, 45534264, 33314880, 7980232, 2698616, 713853, 120676, 31880, 5820, 1778, -20, 72, -4, 1], 'lmfdb_label': '189618.br2', 'torsion': [2, 12]}
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id: 8353835
{'degree': 16, 'field': [279908716096, 0, -407795394032, 0, 15754303732, 0, 528679372, 0, 5024185, 0, -218660, 0, 5530, 0, 208, 0, 1], 'lmfdb_label': '189618.br2', 'torsion': [8]}
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id: 8353838
{'degree': 18, 'field': [127983995511513478896, 111819825473239484640, 41153950563118712280, 8091749460721940052, 847635603343329996, 28486029448108440, -3484015529150948, -389583618285588, 316164678534, 2058861337943, 81719385741, -4947907212, -386802132, 5412150, 975834, 1904, -1434, -9, 1], 'lmfdb_label': '189618.br2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 4693896
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '189618.br2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 4693897
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '189618.br2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 4693898
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '189618.br2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4693899
{'conductor': 189618, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '189618.br2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4693900
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '189618.br2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2881842
{'adelic_gens': [[10570, 24687, 16341, 13456], [17951, 0, 0, 29171], [1, 0, 12, 1], [1, 6, 6, 37], [2653, 11232, 6942, 9049], [9725, 11232, 754, 9049], [29161, 12, 29160, 13], [1, 12, 0, 1], [11, 2, 29122, 29163], [26742, 28249, 26741, 17018]], 'adelic_image': '29172.96.1.?', 'conductor': 189618, 'lmfdb_label': '189618.br2', 'prime': 0}
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id: 707631
{'conductor': 189618, 'elladic_image': '2.3.0.1', 'lmfdb_label': '189618.br2', 'modell_image': '2B', 'prime': 2}
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id: 707632
{'conductor': 189618, 'elladic_image': '3.4.0.1', 'lmfdb_label': '189618.br2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 189618.br does not appear in ec_padic