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ec_curvedata • Show schema
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{'Ciso': '215950z', 'Clabel': '215950z1', 'Cnumber': 1, 'abc_quality': 0.8928141917913982, 'absD': 61124644044800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, 0, 1, -27791, 1820098], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 617], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 215950, 'degree': 920448, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4287347381283386814650543427', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [-94945363574635345, 2444985761792], 'lmfdb_iso': '215950.n', 'lmfdb_label': '215950.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -27791, 1820098], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '1.1604950860559886190315944538', 'prec': 100}, 'szpiro_ratio': 3.448275903867115, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, 1, -1, -2, 0, 3, 1, -2, -1, 0, 1, 7, 2, -7, 0], 'aplist': [-1, 1, 0, 1, 3, -2, 7, -7, 4, 6, -2, 6, -5, 4, 0, 10, -12, -10, 15, 12, 13, 4, -7, 15, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 215950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '215950.n', 'trace_hash': 1098724736661112860}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.057413863739531504848321466300', 'prec': 107}, 'conductor': 215950, 'gens': [], 'heights': [], 'lmfdb_label': '215950.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.62203057005806935895888265273', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4881222802322774358355306109313441131', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 215950.n1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9415431
{'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '215950.n1', 'torsion': [2]}
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id: 9415432
{'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '215950.n1', 'torsion': [2, 2]}
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id: 9415433
{'degree': 8, 'field': [-35375454, -1452411, 1431702, 41417, -20705, -7, 7, -4, 1], 'lmfdb_label': '215950.n1', 'torsion': [3]}
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id: 9415434
{'degree': 12, 'field': [-386578514, -19791636, -1614091, -5019740, 1305015, 115864, -5549, 3256, -1805, 80, 9, -4, 1], 'lmfdb_label': '215950.n1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5351919
{'conductor': 215950, 'conductor_valuation': 1, 'discriminant_valuation': 17, 'j_denominator_valuation': 17, 'kodaira_symbol': 21, 'lmfdb_label': '215950.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5351920
{'conductor': 215950, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '215950.n1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 5351921
{'conductor': 215950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '215950.n1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5351922
{'conductor': 215950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '215950.n1', 'prime': 617, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3043832
{'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 215950, 'lmfdb_label': '215950.n1', 'prime': 0}
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id: 794128
{'conductor': 215950, 'elladic_image': '8.2.0.1', 'lmfdb_label': '215950.n1', 'modell_image': '2G', 'prime': 2}
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lmfdb_iso 215950.n does not appear in ec_padic