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ec_curvedata • Show schema
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{'Ciso': '1152q', 'Clabel': '1152q2', 'Cnumber': 2, 'abc_quality': 0.9748760048854604, 'absD': 53747712, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, 60, -304], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1152, 'degree': 256, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16743481926009266088766275431', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [4000, 9], 'lmfdb_iso': '1152.j', 'lmfdb_label': '1152.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 7, 9], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '12.6.0.b.1', '24.12.0.c.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60376261687600887962194780136', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1327807706805696033452946624', 'prec': 103}, 'szpiro_ratio': 3.5404027095684327, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 0, -2, 4, -6, -6, 0, 4, 4, -10, -2, 2, 8, -12, -12, 4, -2, 4, -4, -10, 6, -12, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 1152, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1152.j', 'trace_hash': 1620517197723338625}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.71543134496259777795084102901', 'prec': 103}, 'conductor': 1152, 'gens': [[10, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.60376261687600887962194780136', 'prec': 103}], 'lmfdb_label': '1152.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0332064107850767958280809855', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4952456253946662813604366058311383474', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [4, 5, 10, 22, 112]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1152.j2'}
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ec_torsion_growth • Show schema
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id: 56664
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '1152.j2', 'torsion': [2, 2]}
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id: 56665
{'degree': 4, 'field': [-2, 0, -2, 0, 1], 'lmfdb_label': '1152.j2', 'torsion': [4]}
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id: 56668
{'degree': 8, 'field': [-3, 0, -48, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '1152.j2', 'torsion': [6]}
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id: 56667
{'degree': 8, 'field': [3, 0, 16, -8, 22, -8, 8, 0, 1], 'lmfdb_label': '1152.j2', 'torsion': [2, 4]}
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id: 56666
{'degree': 8, 'field': [9, -12, 16, -4, -4, -4, 8, -4, 1], 'lmfdb_label': '1152.j2', 'torsion': [2, 4]}
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id: 56669
{'degree': 16, 'field': [36, 0, 0, 0, -168, 0, 216, 0, -116, 0, 32, 0, 0, 0, -4, 0, 1], 'lmfdb_label': '1152.j2', 'torsion': [8]}
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id: 56670
{'degree': 16, 'field': [18674, -56984, 84288, -82720, 61476, -31896, 6128, 5768, -5796, 2656, -724, 24, 136, -96, 36, -8, 1], 'lmfdb_label': '1152.j2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 16683
{'conductor': 1152, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '1152.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 16684
{'conductor': 1152, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '1152.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1671806
{'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [17, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 1152, 'lmfdb_label': '1152.j2', 'prime': 0}
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id: 5463
{'conductor': 1152, 'elladic_image': '8.6.0.5', 'lmfdb_label': '1152.j2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 27929
{'lmfdb_iso': '1152.j', 'p': 7, 'prec': 20, 'unit': 3567883242809142, 'val': 1}
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id: 27927
{'lmfdb_iso': '1152.j', 'p': 11, 'prec': 20, 'unit': 2823639002127746243, 'val': 1}
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id: 27933
{'lmfdb_iso': '1152.j', 'p': 13, 'prec': 20, 'unit': 1306736128253690664188, 'val': 1}
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id: 27935
{'lmfdb_iso': '1152.j', 'p': 17, 'prec': 20, 'unit': 81797099456911729327815, 'val': 1}
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id: 27940
{'lmfdb_iso': '1152.j', 'p': 23, 'prec': 20, 'unit': 53159205433557440454102632, 'val': 1}
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id: 27932
{'lmfdb_iso': '1152.j', 'p': 29, 'prec': 20, 'unit': 463575419704095984893688289, 'val': 1}
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id: 27945
{'lmfdb_iso': '1152.j', 'p': 31, 'prec': 20, 'unit': 18483159611893983571729068184, 'val': 1}
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id: 27928
{'lmfdb_iso': '1152.j', 'p': 37, 'prec': 20, 'unit': 87562910912068045294023296130, 'val': 1}
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id: 27930
{'lmfdb_iso': '1152.j', 'p': 41, 'prec': 20, 'unit': 2247905371568463694926897762140, 'val': 1}
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id: 27931
{'lmfdb_iso': '1152.j', 'p': 43, 'prec': 20, 'unit': 2647865252417362154726805517976, 'val': 1}
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id: 27943
{'lmfdb_iso': '1152.j', 'p': 47, 'prec': 20, 'unit': 6159052932700474554109980040056, 'val': 1}
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id: 27937
{'lmfdb_iso': '1152.j', 'p': 53, 'prec': 20, 'unit': 546021801068560526398005747595872, 'val': 1}
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id: 27938
{'lmfdb_iso': '1152.j', 'p': 59, 'prec': 20, 'unit': 222084879380686878796225275148931, 'val': 1}
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id: 27944
{'lmfdb_iso': '1152.j', 'p': 61, 'prec': 20, 'unit': 6929318129212354269120763794306203, 'val': 1}
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id: 27936
{'lmfdb_iso': '1152.j', 'p': 67, 'prec': 20, 'unit': 22614232658431680858979223036714945, 'val': 1}
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id: 27942
{'lmfdb_iso': '1152.j', 'p': 71, 'prec': 20, 'unit': 85251382420336926575174702945935616, 'val': 1}
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id: 27939
{'lmfdb_iso': '1152.j', 'p': 73, 'prec': 20, 'unit': 8066420996216699059651394618192935, 'val': 1}
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id: 27934
{'lmfdb_iso': '1152.j', 'p': 79, 'prec': 20, 'unit': 967912947201445460523650412068561947, 'val': 1}
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id: 27926
{'lmfdb_iso': '1152.j', 'p': 83, 'prec': 20, 'unit': 1896798371311361112688320062932344021, 'val': 1}
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id: 27941
{'lmfdb_iso': '1152.j', 'p': 89, 'prec': 20, 'unit': 3237227649423796422366682182859931113, 'val': 1}
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id: 27925
{'lmfdb_iso': '1152.j', 'p': 97, 'prec': 20, 'unit': 39956264010601241132447656255170994725, 'val': 1}