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ec_curvedata • Show schema
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{'Ciso': '466578do', 'Clabel': '466578do1', 'Cnumber': 1, 'abc_quality': 1.3265882735428125, 'absD': 11797366223597262336, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 11592, 'ainvs': [1, -1, 1, 34021, 165227339], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 466578, 'degree': 11975040, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3384814046563257948757570230', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 92, 'isogeny_degrees': [1, 3], 'jinv': [189, 512], 'lmfdb_iso': '466578.do', 'lmfdb_label': '466578.do2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, -1072], 'min_quad_twist_disc': -483, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '24.8.0.d.1', '63.36.0.i.1', '69.8.0-3.a.1.2', '72.24.0.?', '207.24.0.?', '504.72.2.?', '552.16.0.?', '1449.72.0.?', '1656.48.0.?', '11592.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7566647477551733202078512480', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 77763], [3, 6, 25921], [7, 26, 9522], [23, 266, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80119220817881867677999919776', 'prec': 107}, 'szpiro_ratio': 3.9353561632211327, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -3, 0, 0, 1, 0, -3, 3, 0, 2, 0, 0, 1, -6, 0, -2, -3], 'aplist': [1, 0, -3, 0, 3, 2, -6, -2, 0, 9, -7, 10, 0, 4, 12, 3, -3, 4, -2, 0, 2, -5, -9, 6, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 466578, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '466578.do', 'trace_hash': 1442608134555784730}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0093072388622493662315971940071', 'prec': 110}, 'conductor': 466578, 'gens': [[-477, 6586, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7566647477551733202078512480', 'prec': 100}], 'lmfdb_label': '466578.do2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17749090499798054099598878936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.224512570856137069371869412107149974', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [-477, 4147]}
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lmfdb_label 466578.do2 does not appear in ec_iwasawa
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lmfdb_label 466578.do2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11505536
{'conductor': 466578, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '466578.do2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 11505537
{'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '466578.do2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11505538
{'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '466578.do2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 11505539
{'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '466578.do2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4529831
{'adelic_gens': [[5797, 4554, 2277, 6211], [1, 18, 0, 1], [1, 18, 12, 217], [10, 9, 81, 73], [13, 12, 11528, 11533], [11575, 18, 11574, 19], [1, 0, 18, 1], [1007, 0, 0, 11591], [3911, 10350, 2691, 8005], [5749, 7038, 1242, 9337], [8695, 4554, 0, 1]], 'adelic_image': '11592.144.2.?', 'conductor': 466578, 'lmfdb_label': '466578.do2', 'prime': 0}
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id: 1552642
{'conductor': 466578, 'elladic_image': '9.12.0.2', 'lmfdb_label': '466578.do2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 466578.do does not appear in ec_padic