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ec_curvedata • Show schema
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{'Ciso': '414b', 'Clabel': '414b2', 'Cnumber': 2, 'abc_quality': 0.9455240084058459, 'absD': 2313846, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [1, -1, 1, -284, -1767], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 414, 'degree': 128, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14475438455883925153684709480', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [3463512697, 3174], 'lmfdb_iso': '414.d', 'lmfdb_label': '414.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -31, 55], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '92.6.0.?', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.40455175977521559416077552366', 'prec': 107}, 'szpiro_ratio': 4.739106876491837, '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, -2, 1, 0, 2, 6, 0, -2, -2, 0, 1, 0, 0, 0, 2], 'aplist': [1, 0, 2, -2, 6, -2, 0, 0, 1, -6, 8, 0, -10, -12, 8, -2, 12, 4, -12, 0, -10, -6, -14, 0, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 414, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '414.d', 'trace_hash': 1965836630547874196}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.74863122804677068280238999741', 'prec': 103}, 'conductor': 414, 'gens': [], 'heights': [], 'lmfdb_label': '414.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1633580465255223533704697909', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3267160930510447067409395817135955986', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-37, 33, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '414.d1'}
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ec_torsion_growth • Show schema
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id: 18087
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [2, 2]}
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id: 18088
{'degree': 4, 'field': [6, 0, -1, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [4]}
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id: 18091
{'degree': 8, 'field': [-32, -64, 88, -49, 28, -7, 7, -4, 1], 'lmfdb_label': '414.d1', 'torsion': [6]}
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id: 18090
{'degree': 8, 'field': [900, 0, -1008, 0, 228, 0, -24, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [2, 4]}
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id: 18089
{'degree': 8, 'field': [1296, 0, -384, 0, 241, 0, -26, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [2, 4]}
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id: 18093
{'degree': 16, 'field': [144, 0, -1224, 0, 1108, 0, -14664, 0, 4308, 0, -196, 0, 24, 0, -12, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [2, 6]}
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id: 18092
{'degree': 16, 'field': [2005056, 0, 759168, 0, 51568, 0, 7072, 0, 21116, 0, 5656, 0, 653, 0, 34, 0, 1], 'lmfdb_label': '414.d1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4281
{'conductor': 414, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '414.d1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4282
{'conductor': 414, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '414.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4283
{'conductor': 414, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '414.d1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1667587
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [97, 4, 194, 9], [1, 4, 0, 1], [484, 73, 345, 208], [370, 1, 367, 0], [549, 4, 548, 5], [2, 1, 275, 0]], 'adelic_image': '552.12.0.?', 'conductor': 414, 'lmfdb_label': '414.d1', 'prime': 0}
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id: 1793
{'conductor': 414, 'elladic_image': '2.3.0.1', 'lmfdb_label': '414.d1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 414.d does not appear in ec_padic