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ec_curvedata • Show schema
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{'Ciso': '350658q', 'Clabel': '350658q2', 'Cnumber': 2, 'abc_quality': 0.8428250429425386, 'absD': 1358160500466, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 42504, 'ainvs': [1, -1, 0, 2172, -40870], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 350658, 'degree': 543744, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0143012766064594828102976989', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [43243551, 51842], 'lmfdb_iso': '350658.q', 'lmfdb_label': '350658.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 2172, -40870], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '264.6.0.?', '1288.6.0.?', '21252.6.0.?', '42504.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40913175809421542175162212328', 'prec': 107}, 'szpiro_ratio': 2.720385253265741, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -2, 0, 1, -1, 0, 2, 0, 0, 2, -1, 0, 1, 6, 0, 2, -2], 'aplist': [-1, 0, -2, 1, 0, 2, 6, 2, -1, 6, -10, 4, -10, -8, 8, 10, 0, 6, -8, 12, 2, 0, 4, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 350658, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '350658.q', 'trace_hash': 658755321734593566}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.13151918385008885603314795138', 'prec': 103}, 'conductor': 350658, 'gens': [], 'heights': [], 'lmfdb_label': '350658.q2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45951753048230865914703448322', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8380701219292346365881379328684091271', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[67, -67, 2]], 'xcoord_integral_points': []}
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lmfdb_label 350658.q2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14635879
{'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '350658.q2', 'torsion': [2, 2]}
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id: 14635880
{'degree': 4, 'field': [-9504, 0, -99, 0, 1], 'lmfdb_label': '350658.q2', 'torsion': [4]}
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id: 14635883
{'degree': 8, 'field': [-2856, 981, -1158, 353, -173, -7, 7, -4, 1], 'lmfdb_label': '350658.q2', 'torsion': [6]}
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id: 14635882
{'degree': 8, 'field': [1920996, 0, 12715164, 0, 3861, 0, 66, 0, 1], 'lmfdb_label': '350658.q2', 'torsion': [2, 4]}
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id: 14635881
{'degree': 8, 'field': [5953600, 0, 200704, 0, 2232, 0, -32, 0, 1], 'lmfdb_label': '350658.q2', 'torsion': [2, 4]}
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id: 14635885
{'degree': 16, 'field': [9599390472, -3184436976, 2329807809, 1636230708, -637925178, -209549358, 58668007, 9674080, -2506161, 21086, 31799, -17976, 1631, 602, -66, -8, 1], 'lmfdb_label': '350658.q2', 'torsion': [2, 6]}
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id: 14635884
{'degree': 16, 'field': [9321471505781824, 0, 353554765396736, 0, -15229964350864, 0, 78472069376, 0, -595544975, 0, 3182356, 0, 57062, 0, -524, 0, 1], 'lmfdb_label': '350658.q2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 8681378
{'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350658.q2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8681379
{'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '350658.q2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8681380
{'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.q2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8681381
{'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '350658.q2', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8681382
{'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.q2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3853464
{'adelic_gens': [[15940, 26569, 5313, 37192], [2, 1, 21251, 0], [28340, 1, 14167, 0], [1, 2, 2, 5], [18217, 4, 36434, 9], [1, 4, 0, 1], [22177, 4, 1850, 9], [42501, 4, 42500, 5], [1, 0, 4, 1], [3, 4, 8, 11], [19324, 1, 27047, 0]], 'adelic_image': '42504.12.0.?', 'conductor': 350658, 'lmfdb_label': '350658.q2', 'prime': 0}
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id: 1213415
{'conductor': 350658, 'elladic_image': '2.3.0.1', 'lmfdb_label': '350658.q2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 350658.q does not appear in ec_padic