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ec_curvedata • Show schema
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{'Ciso': '177870hp', 'Clabel': '177870hp6', 'Cnumber': 6, 'abc_quality': 1.016290927006418, 'absD': 13792885084738553062500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, 1, 0, -16014352, -24017530676], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 177870, 'degree': 19906560, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0243551336827940287009747007', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2179252305146449, 66177562500], 'lmfdb_iso': '177870.bs', 'lmfdb_label': '177870.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2701, -52819], 'min_quad_twist_disc': 77, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.2', '44.12.0-2.a.1.1', '56.12.0.a.1', '60.48.0.a.2', '84.48.0.?', '120.96.1.?', '132.48.0.?', '168.96.1.?', '231.8.0.?', '264.96.0.?', '420.96.1.?', '462.48.0.?', '616.24.0.?', '660.96.0.?', '840.192.5.?', '924.96.0.?', '1320.192.1.?', '1848.192.1.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, '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': '0.85245242275595210411732654000', 'prec': 103}, 'szpiro_ratio': 5.077472453893285, '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, 1, 1, 0, -1, 1, -1, 0, -1, 2, 0, -1, 1, -6, -1, -4, 1], 'aplist': [-1, -1, 1, 0, 0, 2, -6, -4, 0, 6, 4, 2, 6, -8, 12, 6, 12, 2, 8, 0, 14, 16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 177870, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '177870.bs', 'trace_hash': 85738222052776587}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0023609049799567260415377581930', 'prec': 110}, 'conductor': 177870, 'gens': [], 'heights': [], 'lmfdb_label': '177870.bs3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.075609988161904240662844212173', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8146397158857017759082610921551095711', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-2612, 1306, 1], [-1996, 998, 1]], 'xcoord_integral_points': [-2612, -1996]}
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lmfdb_label 177870.bs3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7882010
{'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 6]}
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id: 7882012
{'degree': 4, 'field': [135, -34, 35, -2, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 4]}
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id: 7882011
{'degree': 4, 'field': [214, 74, -73, -2, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 4]}
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id: 7882013
{'degree': 4, 'field': [2116, 0, 62, 0, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 4]}
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id: 7882014
{'degree': 6, 'field': [-6475, -1785, 1044, 101, -54, -3, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 6]}
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id: 7882016
{'degree': 8, 'field': [375, -540, 772, -496, 329, -100, 38, -4, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 12]}
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id: 7882015
{'degree': 8, 'field': [4096, 0, -2700, 0, 353, 0, 30, 0, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 12]}
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id: 7882017
{'degree': 8, 'field': [2932099, -251148, 259756, -17360, 9041, -436, 150, -4, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 12]}
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id: 7882018
{'degree': 12, 'field': [41925625, 11557875, 9946125, -555590, 920571, -67911, 48272, -975, 2175, -40, 63, -3, 1], 'lmfdb_label': '177870.bs3', 'torsion': [6, 6]}
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id: 7882019
{'degree': 16, 'field': [1116025, 179300, -942750, 326480, 280744, -194128, 28558, 21208, -15051, -3344, 1058, 176, 412, -44, -20, 0, 1], 'lmfdb_label': '177870.bs3', 'torsion': [4, 4]}
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id: 7882021
{'degree': 16, 'field': [4619255, 430240, 91948, -991032, 371344, 124952, -6344, -21416, -4107, 3880, 1556, -1168, 134, 0, 20, -8, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 8]}
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id: 7882020
{'degree': 16, 'field': [745017025, 0, -1759307500, 0, 174084340, 0, 13676300, 0, -950954, 0, -53716, 0, 3316, 0, -76, 0, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 8]}
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id: 7882022
{'degree': 16, 'field': [21597677375596, -4997695873744, 2933172755592, -522269629376, 193494746424, -27123498024, 7523359468, -799893824, 182612853, -14731936, 3039208, -190488, 35910, -1672, 276, -8, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 8]}
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id: 7882023
{'degree': 18, 'field': [215155598260, -18292817880, 293330246040, -6069603274, 132248264202, 4536580368, 21674280739, 1267552137, 1151599914, 22524821, 9151383, -1333002, -310294, -38646, 9192, 54, -87, -3, 1], 'lmfdb_label': '177870.bs3', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 4403410
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '177870.bs3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4403411
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '177870.bs3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4403412
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177870.bs3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 4403413
{'conductor': 177870, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '177870.bs3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4403414
{'conductor': 177870, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '177870.bs3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2809447
{'adelic_gens': [[6161, 3366, 1540, 1], [9, 4, 9224, 9233], [1057, 3366, 792, 4159], [3697, 3366, 0, 1], [6719, 0, 0, 9239], [1, 0, 12, 1], [9229, 12, 9228, 13], [7987, 3366, 5874, 5875], [1, 12, 0, 1], [3959, 2508, 1914, 5807]], 'adelic_image': '9240.384.5.?', 'conductor': 177870, 'lmfdb_label': '177870.bs3', 'prime': 0}
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id: 668447
{'conductor': 177870, 'elladic_image': '2.6.0.1', 'lmfdb_label': '177870.bs3', 'modell_image': '2Cs', 'prime': 2}
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id: 668448
{'conductor': 177870, 'elladic_image': '3.4.0.1', 'lmfdb_label': '177870.bs3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 177870.bs does not appear in ec_padic