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ec_curvedata • Show schema
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{'Ciso': '330096bu', 'Clabel': '330096bu1', 'Cnumber': 1, 'abc_quality': 1.037904102991589, 'absD': 307276680758488272, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 1, 0, -344555, 73020084], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 330096, 'degree': 5913600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1041326602122928743255486866', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [1909913257984, 129730653], 'lmfdb_iso': '330096.bu', 'lmfdb_label': '330096.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -651, 6228], 'min_quad_twist_disc': 92, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9533699069414600353334013300', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30533649206106959244976156354', 'prec': 103}, 'szpiro_ratio': 3.9240645548948287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -4, 0, 0, 0, 1, 0, -2, 0, -1, 0, -4, 0, -2, 0, 8, 0], 'aplist': [0, 1, -4, 0, -2, -1, -2, 8, 0, -6, 4, -6, -12, 4, 6, 2, 14, -10, -4, -2, -2, -8, 14, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 330096, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '330096.bu', 'trace_hash': 1805152154601638102}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014872144380135239923137051537', 'prec': 107}, 'conductor': 330096, 'gens': [[-560, 9522, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9533699069414600353334013300', 'prec': 100}], 'lmfdb_label': '330096.bu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30060581433924947688443170158', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8719435158192156336154721847098617193', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[268, 0, 1]], 'xcoord_integral_points': [-560, 268]}
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lmfdb_label 330096.bu1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13840798
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '330096.bu1', 'torsion': [2, 2]}
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id: 13840799
{'degree': 4, 'field': [6877, 0, -161, 0, 1], 'lmfdb_label': '330096.bu1', 'torsion': [4]}
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id: 13840802
{'degree': 8, 'field': [-57958, -20156, -14758, -1584, -732, -66, 4, -4, 1], 'lmfdb_label': '330096.bu1', 'torsion': [6]}
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id: 13840800
{'degree': 8, 'field': [991, -8798, -5265, 406, -181, 148, -39, -2, 1], 'lmfdb_label': '330096.bu1', 'torsion': [2, 4]}
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id: 13840801
{'degree': 8, 'field': [2518569, 0, 36501, 0, 2116, 0, -23, 0, 1], 'lmfdb_label': '330096.bu1', 'torsion': [2, 4]}
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id: 13840804
{'degree': 16, 'field': [12486741747, 5200477290, 3829641774, 1870660984, 545693364, 144004834, 27832844, 3571708, -139477, -77482, -40936, -5128, -1388, -136, -32, 0, 1], 'lmfdb_label': '330096.bu1', 'torsion': [2, 6]}
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id: 13840803
{'degree': 16, 'field': [1133988582321, 0, 18554794848, 0, -1643712750, 0, -17576520, 0, 805795, 0, -57976, 0, -1002, 0, 56, 0, 1], 'lmfdb_label': '330096.bu1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 8167923
{'conductor': 330096, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '330096.bu1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 8167924
{'conductor': 330096, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '330096.bu1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 8167925
{'conductor': 330096, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '330096.bu1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8167926
{'conductor': 330096, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '330096.bu1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3729489
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 330096, 'lmfdb_label': '330096.bu1', 'prime': 0}
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id: 1149331
{'conductor': 330096, 'elladic_image': '2.3.0.1', 'lmfdb_label': '330096.bu1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 330096.bu does not appear in ec_padic