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ec_curvedata • Show schema
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{'Ciso': '335405g', 'Clabel': '335405g1', 'Cnumber': 1, 'abc_quality': 0.9802957926219806, 'absD': 110005519785875, 'adelic_genus': 1, 'adelic_index': 12, 'adelic_level': 210, 'ainvs': [0, 0, 1, -9583, 620499], 'analytic_rank': 0, 'bad_primes': [5, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 335405, 'degree': 2495232, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3886981355894853627653864970', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-110592, 125], 'lmfdb_iso': '335405.g', 'lmfdb_label': '335405.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -7, 12], 'min_quad_twist_disc': 37, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '21.6.0.a.1', '30.6.0.c.1', '70.2.0.a.1', '210.12.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90323835799645518569499952438', 'prec': 107}, 'szpiro_ratio': 3.159585614492587, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, -3, 2, -1, -6, 0, 0, 6, -2, 1, -6, 3, 0, 3, -4, -3, 12, 6, -2], 'aplist': [2, -3, -1, 0, 1, 3, -3, 6, 4, 1, 6, 0, -6, 6, 9, -10, -6, 0, -14, -8, -6, 1, -12, 12, -15], 'class_deg': 1, 'class_size': 1, 'conductor': 335405, 'isogeny_matrix': [[1]], 'lmfdb_iso': '335405.g', 'trace_hash': 1089750998004532391}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.062200249301709233188288921923', 'prec': 107}, 'conductor': 335405, 'gens': [], 'heights': [], 'lmfdb_label': '335405.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53831334704150133691458296360', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1532533881660053476583318543996303084', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 335405.g1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14050853
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '335405.g1', 'torsion': [2]}
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id: 14050854
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '335405.g1', 'torsion': [2, 2]}
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id: 14050855
{'degree': 8, 'field': [-1075031, -117752, 108865, 10393, -3206, -194, 1, -2, 1], 'lmfdb_label': '335405.g1', 'torsion': [3]}
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id: 14050856
{'degree': 12, 'field': [36426811351, 48451087048, 13609946616, 2896754490, 651743845, 44383936, 11598908, 290056, -10055, 20, -4, -2, 1], 'lmfdb_label': '335405.g1', 'torsion': [4]}
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id: 14050857
{'degree': 16, 'field': [1155691650961, 126587050312, 130898783319, 9526522886, 9628835375, 584964135, 432041689, 10951972, 13731852, 265696, 279358, -2625, 2819, 386, 3, -2, 1], 'lmfdb_label': '335405.g1', 'torsion': [3, 3]}
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ec_localdata • Show schema
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id: 8302350
{'conductor': 335405, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '335405.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8302351
{'conductor': 335405, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '335405.g1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8302352
{'conductor': 335405, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '335405.g1', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3761883
{'adelic_gens': [[88, 3, 39, 208], [124, 1, 7, 2], [1, 6, 0, 1], [1, 0, 6, 1], [1, 74, 4, 157], [6, 5, 199, 201], [205, 6, 204, 7]], 'adelic_image': '210.12.1.?', 'conductor': 335405, 'lmfdb_label': '335405.g1', 'prime': 0}
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id: 1166448
{'conductor': 335405, 'elladic_image': '3.3.0.1', 'lmfdb_label': '335405.g1', 'modell_image': '3Nn', 'prime': 3}
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lmfdb_iso 335405.g does not appear in ec_padic