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ec_curvedata • Show schema
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{'Ciso': '289800ee', 'Clabel': '289800ee1', 'Cnumber': 1, 'abc_quality': 0.9790465456593465, 'absD': 61919597680664062500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3220, 'ainvs': [0, 0, 0, -237491175, -1356875351750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 289800, 'degree': 82575360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7138744462891788131746009077', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 108, 'isogeny_degrees': [1, 2], 'jinv': [508017439289666674384, 21234429931640625], 'lmfdb_iso': '289800.ee', 'lmfdb_label': '289800.ee1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1055516, 402388980], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '322.6.0.?', '3220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8977512253647769072317772083', 'prec': 100}, 'szpiro_ratio': 5.523640190170617, '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, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 0, 1, 2, 0, -6, -4, 1, -2, 10, 8, -6, 12, 4, -8, 10, 6, 8, -4, 16, 10, -12, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 289800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '289800.ee', 'trace_hash': 2164989838668911890}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00059452434483059297096331364940', 'prec': 113}, 'conductor': 289800, 'gens': [], 'heights': [], 'lmfdb_label': '289800.ee1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.038557323701851144177926132853', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0845858961480915342340906282513288652', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-7465, 0, 1]], 'xcoord_integral_points': [-7465]}
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lmfdb_label 289800.ee1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12305714
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '289800.ee1', 'torsion': [2, 2]}
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id: 12305715
{'degree': 4, 'field': [309, 54, 22, -2, 1], 'lmfdb_label': '289800.ee1', 'torsion': [4]}
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id: 12305718
{'degree': 8, 'field': [-8517675, 0, -152880, 0, 5490, 0, -40, 0, 1], 'lmfdb_label': '289800.ee1', 'torsion': [6]}
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id: 12305716
{'degree': 8, 'field': [400, 0, -6885, 0, -2374, 0, -18, 0, 1], 'lmfdb_label': '289800.ee1', 'torsion': [2, 4]}
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id: 12305717
{'degree': 8, 'field': [165526, 23642, 27931, 6962, 645, -362, 1, -2, 1], 'lmfdb_label': '289800.ee1', 'torsion': [2, 4]}
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id: 12305719
{'degree': 16, 'field': [3416188125, -6966540000, 6400721500, -3657014800, 1461305030, -415805020, 79605480, -8148500, 107331, 644, 50712, -12428, 150, 308, -28, -4, 1], 'lmfdb_label': '289800.ee1', 'torsion': [8]}
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id: 12305720
{'degree': 16, 'field': [22161539649200, 44492336560000, -46086047225280, 3192032731040, -1607686464000, 14405545560, -5485685820, 615499480, -190049979, 23316592, -3868872, -426096, 65010, 2744, -372, -8, 1], 'lmfdb_label': '289800.ee1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 7179711
{'conductor': 289800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '289800.ee1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 7179712
{'conductor': 289800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '289800.ee1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7179713
{'conductor': 289800, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '289800.ee1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7179714
{'conductor': 289800, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '289800.ee1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 7179715
{'conductor': 289800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '289800.ee1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3490022
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [809, 2416, 804, 2415], [3217, 4, 3216, 5], [1, 0, 4, 1], [2302, 1, 459, 0], [2577, 4, 1934, 9], [3, 4, 8, 11], [562, 1, 2939, 0]], 'adelic_image': '3220.12.0.?', 'conductor': 289800, 'lmfdb_label': '289800.ee1', 'prime': 0}
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id: 1026831
{'conductor': 289800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '289800.ee1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 289800.ee does not appear in ec_padic