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ec_curvedata • Show schema
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{'Ciso': '215475q', 'Clabel': '215475q1', 'Cnumber': 1, 'abc_quality': 0.9107172709999442, 'absD': 74181310646193791015625, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 13260, 'ainvs': [1, 1, 1, -25637388, -48225860844], 'analytic_rank': 1, 'bad_primes': [3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 215475, 'degree': 19768320, 'elladic_images': ['2.3.0.1', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1549794634122703903525897182', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [89975616641, 3581577], 'lmfdb_iso': '215475.n', 'lmfdb_label': '215475.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6068, -176073], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '39.6.0.b.1', '60.18.0.f.1', '78.18.0.?', '204.18.0.?', '510.18.0.?', '780.36.1.?', '1020.36.0.?', '2210.6.0.?', '2652.36.1.?', '6630.36.1.?', '13260.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '33.018254325369998071980202699', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.024189010990542557361904637106', 'prec': 107}, 'szpiro_ratio': 5.113128763360478, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, -1, 0, 1, 0, 3, 1, 0, 4, 1, 0, 0, 0, -1, -1, -1, 6, 0], 'aplist': [-1, -1, 0, 0, 4, 0, -1, 6, 0, 0, 0, -6, 10, 6, 8, -6, 8, -6, 12, -8, 6, 12, -8, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 215475, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '215475.n', 'trace_hash': 402692413185643694}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0018181079131420343431831358068', 'prec': 110}, 'conductor': 215475, 'gens': [[-213090502747554, 828351625235148321528, 281461]], 'heights': [{'__RealLiteral__': 0, 'data': '33.018254325369998071980202699', 'prec': 100}], 'lmfdb_label': '215475.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.067258245950516618720720995703', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4414997405448890067725668161667290292', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2465, 1232, 1]], 'xcoord_integral_points': [-2465]}
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lmfdb_label 215475.n1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9396520
{'degree': 2, 'field': [-276, -1, 1], 'lmfdb_label': '215475.n1', 'torsion': [2, 2]}
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id: 9396521
{'degree': 4, 'field': [16, 4, 41, -1, 1], 'lmfdb_label': '215475.n1', 'torsion': [4]}
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id: 9396524
{'degree': 8, 'field': [-439, -73, 1, -4, 74, -2, -16, -1, 1], 'lmfdb_label': '215475.n1', 'torsion': [6]}
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id: 9396523
{'degree': 8, 'field': [69696, 0, 25731, 0, 2836, 0, 116, 0, 1], 'lmfdb_label': '215475.n1', 'torsion': [2, 4]}
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id: 9396522
{'degree': 8, 'field': [1998096, 49976, -330810, -21606, 10389, 494, -160, -4, 1], 'lmfdb_label': '215475.n1', 'torsion': [2, 4]}
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id: 9396526
{'degree': 16, 'field': [192721, 32047, 5768, -3585, 32195, 11678, 13844, 1315, 6069, -350, 1186, 176, 180, 20, 17, -1, 1], 'lmfdb_label': '215475.n1', 'torsion': [3, 6]}
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id: 9396527
{'degree': 16, 'field': [12582651, -5490753, -62776645, -12416334, -1505963, 5086457, -2284360, -102388, 33066, 47088, -10356, -446, 111, 8, -14, -2, 1], 'lmfdb_label': '215475.n1', 'torsion': [2, 6]}
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id: 9396525
{'degree': 16, 'field': [776958196, 144010640, -91881082, -112507806, 80071577, -37811276, 28841626, -15659208, 6164050, -1614258, 439918, -66808, 13622, -1176, 188, -8, 1], 'lmfdb_label': '215475.n1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 5340184
{'conductor': 215475, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '215475.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5340185
{'conductor': 215475, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '215475.n1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5340186
{'conductor': 215475, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '215475.n1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5340187
{'conductor': 215475, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '215475.n1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3040997
{'adelic_gens': [[5535, 7738, 12128, 5517], [9, 8, 13216, 13221], [7, 12, 144, 247], [1, 0, 12, 1], [10208, 7, 7117, 13240], [1, 6, 6, 37], [13249, 12, 13248, 13], [1, 12, 0, 1], [5308, 3, 7977, 16], [5470, 3, 7773, 13252], [4421, 12, 6, 73]], 'adelic_image': '13260.72.3.?', 'conductor': 215475, 'lmfdb_label': '215475.n1', 'prime': 0}
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id: 792598
{'conductor': 215475, 'elladic_image': '2.3.0.1', 'lmfdb_label': '215475.n1', 'modell_image': '2B', 'prime': 2}
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id: 792599
{'conductor': 215475, 'elladic_image': '3.3.0.1', 'lmfdb_label': '215475.n1', 'modell_image': '3Nn', 'prime': 3}
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lmfdb_iso 215475.n does not appear in ec_padic