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ec_curvedata • Show schema
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{'Ciso': '237021j', 'Clabel': '237021j1', 'Cnumber': 1, 'abc_quality': 0.9814333908463894, 'absD': 669764697981, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 282, 'ainvs': [0, 1, 1, -2241, -11596], 'analytic_rank': 1, 'bad_primes': [3, 41, 47], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 237021, 'degree': 266240, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96031505494697026747405587311', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [262144, 141], 'lmfdb_iso': '237021.j', 'lmfdb_label': '237021.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -1, 0], 'min_quad_twist_disc': 41, 'modell_images': [], 'modm_images': ['282.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0879058434522426894390718414', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89647097840518363445932581341', 'prec': 107}, 'szpiro_ratio': 2.8085287008932034, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, -2, -1, 0, 3, 0, 1, 0, 3, -2, 4, 0, -1, 4, -8, 0, 6, 2], 'aplist': [0, 1, -1, 3, 3, 4, -8, 6, 3, 1, 4, 1, 0, -8, 1, -10, -10, 2, -4, 6, -8, 3, -18, 2, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 237021, 'isogeny_matrix': [[1]], 'lmfdb_iso': '237021.j', 'trace_hash': 461581912468313193}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14651461273118181797410928524', 'prec': 103}, 'conductor': 237021, 'gens': [[694, 14275, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0879058434522426894390718414', 'prec': 100}], 'lmfdb_label': '237021.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.73862818491913598330103619747', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1232571534012947287606009761866864279', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 237021.j1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10249413
{'degree': 3, 'field': [3, -5, -1, 1], 'lmfdb_label': '237021.j1', 'torsion': [2]}
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id: 10249414
{'degree': 6, 'field': [81, -135, 30, 45, -20, -1, 1], 'lmfdb_label': '237021.j1', 'torsion': [2, 2]}
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id: 10249415
{'degree': 8, 'field': [-588096, 85824, -101640, 20463, -624, -139, -21, 0, 1], 'lmfdb_label': '237021.j1', 'torsion': [3]}
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id: 10249416
{'degree': 12, 'field': [98024608161, 6122404962, -8321071188, -422896926, 6171651, -15004356, 1343480, 186332, -6333, 858, 28, -6, 1], 'lmfdb_label': '237021.j1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5876944
{'conductor': 237021, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '237021.j1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5876945
{'conductor': 237021, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '237021.j1', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5876946
{'conductor': 237021, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '237021.j1', 'prime': 47, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[193, 2, 193, 3], [95, 2, 95, 3], [1, 1, 281, 0], [1, 0, 2, 1], [1, 2, 0, 1], [281, 2, 280, 3]], 'adelic_image': '282.2.0.?', 'conductor': 237021, 'lmfdb_label': '237021.j1', 'prime': 0}
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lmfdb_iso 237021.j does not appear in ec_padic