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ec_curvedata • Show schema
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{'Ciso': '342d', 'Clabel': '342d1', 'Cnumber': 1, 'abc_quality': 1.0098530640536911, 'absD': 1495908, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [1, -1, 1, -29, 1], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 342, 'degree': 48, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12545260823626809071050705825', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [132651, 76], 'lmfdb_iso': '342.g', 'lmfdb_label': '342.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3, 1], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '114.6.0.?', '152.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94941182473735035925694098594', 'prec': 107}, 'szpiro_ratio': 3.716142386325583, '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, 0, 1, 0, 2, 2, 0, -4, 0, 0, 1, 0, 0, -1, 2], 'aplist': [1, 0, 2, 0, 2, -4, 0, -1, 8, -2, -2, -8, -2, 4, -4, 2, 0, -10, 0, -16, 6, 14, -6, -18, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 342, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '342.g', 'trace_hash': 1563945924479826890}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.2851882638808947889048028890', 'prec': 100}, 'conductor': 342, 'gens': [], 'heights': [], 'lmfdb_label': '342.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.2375637155543358401689958903', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2375637155543358401689958903368361348', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-5, 2, 1]], 'xcoord_integral_points': [-5]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': 'a', '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '342.g2'}
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ec_torsion_growth • Show schema
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id: 14878
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '342.g2', 'torsion': [2, 2]}
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id: 14879
{'degree': 4, 'field': [10, 4, 3, -2, 1], 'lmfdb_label': '342.g2', 'torsion': [4]}
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id: 14881
{'degree': 8, 'field': [-464, -992, -676, -356, -224, -22, -7, -4, 1], 'lmfdb_label': '342.g2', 'torsion': [2, 4]}
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id: 14882
{'degree': 8, 'field': [-4, 4, -10, 11, -2, -7, 7, -4, 1], 'lmfdb_label': '342.g2', 'torsion': [6]}
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id: 14880
{'degree': 8, 'field': [196, 476, 503, 278, 151, 16, -19, -2, 1], 'lmfdb_label': '342.g2', 'torsion': [2, 4]}
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id: 14884
{'degree': 16, 'field': [1296, -6048, 6840, 4572, -16704, 14148, -1692, -5418, 3888, -675, -537, 408, -96, -6, 16, -5, 1], 'lmfdb_label': '342.g2', 'torsion': [2, 6]}
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id: 14883
{'degree': 16, 'field': [85438, -228888, 217948, 6032, -103055, 53652, -15122, 1356, 13141, -4880, -632, 680, -85, 20, -2, -4, 1], 'lmfdb_label': '342.g2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3349
{'conductor': 342, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '342.g2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3350
{'conductor': 342, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '342.g2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3351
{'conductor': 342, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '342.g2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1667242
{'adelic_gens': [[1, 0, 4, 1], [308, 1, 151, 0], [3, 4, 8, 11], [194, 1, 359, 0], [1, 2, 2, 5], [1, 4, 0, 1], [453, 4, 452, 5], [229, 4, 2, 9], [289, 172, 56, 399]], 'adelic_image': '456.12.0.?', 'conductor': 342, 'lmfdb_label': '342.g2', 'prime': 0}
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id: 1463
{'conductor': 342, 'elladic_image': '2.3.0.1', 'lmfdb_label': '342.g2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 342.g does not appear in ec_padic