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ec_curvedata • Show schema
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{'Ciso': '3150bl', 'Clabel': '3150bl3', 'Cnumber': 3, 'abc_quality': 1.0572692378622217, 'absD': 2870437500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, -1, 1, -302405, -63931903], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3150, 'degree': 16384, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5431262939688255418394733395', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [268498407453697, 252], 'lmfdb_iso': '3150.bo', 'lmfdb_label': '3150.bo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1344, 18405], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '28.12.0.h.1', '56.48.0.bl.1', '60.12.0-4.c.1.2', '112.96.1.?', '120.48.0.?', '240.96.0.?', '420.24.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105443', 'prec': 103}, 'szpiro_ratio': 6.141675799814054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 4, 0, -6, 1, 0, 1, 2, 0, -4, 0], 'aplist': [1, 0, 0, 1, 4, -6, 2, -4, 8, 2, 0, 10, 6, 4, 0, 6, -4, 6, -4, -8, -10, 0, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 3150, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '3150.bo', 'trace_hash': 2293799211857639659}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.045672788871067636506149653035', 'prec': 107}, 'conductor': 3150, 'gens': [], 'heights': [], 'lmfdb_label': '3150.bo1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20358811673694167184500782913', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2574098677910667495201252661433571810', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1269, 1265, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': 'a', '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3150.bo1'}
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ec_torsion_growth • Show schema
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id: 164595
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 2]}
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id: 164597
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '3150.bo1', 'torsion': [4]}
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id: 164596
{'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [4]}
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id: 164600
{'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '3150.bo1', 'torsion': [8]}
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id: 164598
{'degree': 4, 'field': [114, 6, -5, -2, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 4]}
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id: 164599
{'degree': 4, 'field': [310, 20, -19, -2, 1], 'lmfdb_label': '3150.bo1', 'torsion': [8]}
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id: 164605
{'degree': 8, 'field': [-576, 640, -224, 126, -50, -8, 9, -2, 1], 'lmfdb_label': '3150.bo1', 'torsion': [6]}
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id: 164601
{'degree': 8, 'field': [-24, 252, -263, 336, -9, -28, -9, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 4]}
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id: 164602
{'degree': 8, 'field': [49, 0, 0, 0, 434, 0, 0, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [8]}
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id: 164603
{'degree': 8, 'field': [2914, -420, 526, -212, 107, -4, 6, -4, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 8]}
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id: 164604
{'degree': 8, 'field': [3136, 0, 448, 0, 158, 0, 8, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [16]}
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id: 164607
{'degree': 16, 'field': [-35098304, 71941632, 17270272, 8830080, -8398880, -1430016, -362096, 231168, 12481, -28224, -5852, -1344, 742, 0, -44, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 8]}
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id: 164610
{'degree': 16, 'field': [256, 0, 768, 0, 6528, 0, 4080, 0, 5201, 0, 1020, 0, 408, 0, 12, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 16]}
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id: 164606
{'degree': 16, 'field': [256, 0, 5824, 0, 38000, 0, -1596, 0, 2840, 0, 105, 0, 107, 0, 7, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [4, 4]}
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id: 164611
{'degree': 16, 'field': [8586, -2232, 17256, -30354, 15258, 7224, -30189, 52974, -45242, 14494, 3787, -3470, 457, 28, 16, -8, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 6]}
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id: 164613
{'degree': 16, 'field': [10086, -15498, 22282, -30049, 10912, 2309, -1313, 4754, 3099, 1584, 1056, -13, -50, 53, 7, -4, 1], 'lmfdb_label': '3150.bo1', 'torsion': [12]}
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id: 164608
{'degree': 16, 'field': [695556, 0, -495480, 0, 199360, 0, -36988, 0, 2373, 0, -140, 0, 126, 0, 8, 0, 1], 'lmfdb_label': '3150.bo1', 'torsion': [2, 8]}
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id: 164609
{'degree': 16, 'field': [1699504, 2730752, -1343296, -2552928, 721966, 661024, -203280, -35872, 39467, -26720, 12208, -4368, 1274, -280, 60, -8, 1], 'lmfdb_label': '3150.bo1', 'torsion': [16]}
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id: 164612
{'degree': 16, 'field': [5715924, 2323344, -3967472, -1164184, 2979421, -1659716, 603218, -122228, 56783, -13208, 6584, -1456, 559, -52, 22, -4, 1], 'lmfdb_label': '3150.bo1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 56933
{'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3150.bo1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 56934
{'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3150.bo1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 56935
{'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3150.bo1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 56936
{'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3150.bo1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1684429
{'adelic_gens': [[559, 0, 0, 1679], [136, 225, 1455, 346], [1, 16, 0, 1], [1343, 0, 0, 1679], [1021, 240, 1020, 1081], [1, 0, 16, 1], [106, 375, 1275, 166], [15, 2, 1582, 1667], [5, 4, 1676, 1677], [1665, 16, 1664, 17]], 'adelic_image': '1680.192.1.?', 'conductor': 3150, 'lmfdb_label': '3150.bo1', 'prime': 0}
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id: 15740
{'conductor': 3150, 'elladic_image': '16.48.0.120', 'lmfdb_label': '3150.bo1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3150.bo does not appear in ec_padic