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ec_curvedata • Show schema
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{'Ciso': '381150gy', 'Clabel': '381150gy1', 'Cnumber': 1, 'abc_quality': 0.9460734337102095, 'absD': 5127008256562500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -318192, -68919284], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 381150, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9168711614210546982771106196', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 180, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4767078987, 6860], 'lmfdb_iso': '381150.gy', 'lmfdb_label': '381150.gy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -105, 441], 'min_quad_twist_disc': -55, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '165.8.0.?', '210.24.0.?', '280.6.0.?', '330.24.0.?', '462.24.0.?', '840.48.1.?', '1320.48.0.?', '1848.48.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7131458907451310152617118243', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36144850336220818390305214523', 'prec': 107}, 'szpiro_ratio': 3.86156993933122, '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, 0, 0, 2, -1, 0, 1, 0, 0, -2, 0], 'aplist': [-1, 0, 0, 1, 0, 2, 0, -2, 0, -6, 8, 4, -6, 2, 6, -6, 12, -8, -2, 6, 2, 16, 0, 6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 381150, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '381150.gy', 'trace_hash': 1635016520236958896}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.021628523071292297876239684349', 'prec': 107}, 'conductor': 381150, 'gens': [[-322, 434, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7131458907451310152617118243', 'prec': 100}], 'lmfdb_label': '381150.gy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20103177568709360309306804915', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5451424333756193567380516401866296099', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-316, 158, 1]], 'xcoord_integral_points': [-322, -316, 2709]}
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lmfdb_label 381150.gy2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15780102
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 2]}
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id: 15780103
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '381150.gy2', 'torsion': [6]}
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id: 15780105
{'degree': 4, 'field': [364, 133, 23, -1, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 6]}
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id: 15780104
{'degree': 4, 'field': [3228, -264, -30, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [4]}
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id: 15780106
{'degree': 6, 'field': [-6860, 0, 0, -260, 0, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [6]}
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id: 15780109
{'degree': 8, 'field': [8239, 5544, 8836, 240, 1401, -12, 70, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [12]}
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id: 15780108
{'degree': 8, 'field': [430336, 0, -109568, 0, -156, 0, -2, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 4]}
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id: 15780107
{'degree': 8, 'field': [602176, 0, 66304, 0, -348, 0, -14, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 4]}
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id: 15780111
{'degree': 12, 'field': [-42789584, 48123168, -31867176, 13050360, -3205080, 204918, 142289, -47073, 4110, 675, -126, -3, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 6]}
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id: 15780110
{'degree': 12, 'field': [113239, 344400, 394992, 192020, 19215, -9420, 2420, 2220, 105, -20, 12, 0, 1], 'lmfdb_label': '381150.gy2', 'torsion': [3, 6]}
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id: 15780113
{'degree': 16, 'field': [11521225, 12854600, -4492470, 16439500, -4599084, -20314116, 21988264, -9274844, 2050989, -220444, 11320, -2820, 12, 428, -42, -8, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 12]}
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id: 15780114
{'degree': 16, 'field': [56367622096, 15540652416, -14831749624, -1437749056, 773756288, -80026824, 50607074, -21161388, 6134863, -616104, 177706, -31508, 6768, -728, 124, -8, 1], 'lmfdb_label': '381150.gy2', 'torsion': [2, 12]}
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id: 15780112
{'degree': 16, 'field': [1728793139716, 611552051056, 229840576984, 10640995632, -11468297250, 753835528, 108796872, -91900944, 12585067, 2059984, 251848, -8032, 1746, 336, 68, -8, 1], 'lmfdb_label': '381150.gy2', 'torsion': [8]}
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id: 15780115
{'degree': 18, 'field': [50560308764, -72826454232, 55672954260, -32087157102, 14349308862, -5341147686, 1756832631, -457764141, 127227588, -22005016, 6084249, -571401, 211728, -8097, 5961, -162, 120, -3, 1], 'lmfdb_label': '381150.gy2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 9427724
{'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '381150.gy2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9427725
{'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '381150.gy2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9427726
{'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '381150.gy2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9427727
{'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '381150.gy2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 9427728
{'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '381150.gy2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4032928
{'adelic_gens': [[11, 2, 9190, 9231], [6719, 0, 0, 9239], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [4190, 7557, 4059, 5048], [2355, 6688, 638, 9197], [2410, 1683, 8613, 4192], [1, 12, 0, 1], [4621, 6732, 3366, 3433], [7712, 11, 8085, 9208]], 'adelic_image': '9240.96.1.?', 'conductor': 381150, 'lmfdb_label': '381150.gy2', 'prime': 0}
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id: 1303573
{'conductor': 381150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '381150.gy2', 'modell_image': '2B', 'prime': 2}
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id: 1303574
{'conductor': 381150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '381150.gy2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 381150.gy does not appear in ec_padic