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ec_curvedata • Show schema
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{'Ciso': '469440u', 'Clabel': '469440u2', 'Cnumber': 2, 'abc_quality': 0.848921342947502, 'absD': 142802296012800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3912, 'ainvs': [0, 0, 0, 3732, 568208], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 163], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 469440, 'degree': 1146880, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3962196079668831848904779498', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [240641848, 5978025], 'lmfdb_iso': '469440.u', 'lmfdb_label': '469440.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 104, 2596], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '1956.6.0.?', '3912.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 52160], [5, 6, 93888], [163, 164, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.019520512067103297578684820483', 'prec': 110}, 'szpiro_ratio': 3.0647618283668003, '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, -1, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -2, 4, 0, -2, 4, 8, 6, -6, 8, 2, 4, 6, 0, 4, 2, -4, 10, -10, -10, 12, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 469440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '469440.u', 'trace_hash': 1917015091531801459}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.061271576884054676596065092654', 'prec': 107}, 'conductor': 469440, 'gens': [], 'heights': [], 'lmfdb_label': '469440.u2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43581741406659557437721007008', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4865393125327645950176805606220873741', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-68, 0, 1]], 'xcoord_integral_points': [-68]}
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lmfdb_label 469440.u2 does not appear in ec_iwasawa
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lmfdb_label 469440.u2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11574993
{'conductor': 469440, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '469440.u2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11574994
{'conductor': 469440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '469440.u2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11574995
{'conductor': 469440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '469440.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11574996
{'conductor': 469440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '469440.u2', 'prime': 163, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4546544
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2, 1, 1955, 0], [1, 2, 2, 5], [1, 4, 0, 1], [817, 4, 1634, 9], [2609, 4, 1306, 9], [3909, 4, 3908, 5], [1468, 2449, 489, 3424]], 'adelic_image': '3912.12.0.?', 'conductor': 469440, 'lmfdb_label': '469440.u2', 'prime': 0}
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id: 1560975
{'conductor': 469440, 'elladic_image': '8.6.0.5', 'lmfdb_label': '469440.u2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 469440.u does not appear in ec_padic
