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ec_curvedata • Show schema
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{'Ciso': '290400bs', 'Clabel': '290400bs1', 'Cnumber': 1, 'abc_quality': 0.9303769565820871, 'absD': 17363069361000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, -1, 0, -103858, -11180288], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 290400, 'degree': 1966080, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8423131927920822970795494546', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [69934528, 9801], 'lmfdb_iso': '290400.bs', 'lmfdb_label': '290400.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -34, -56], 'min_quad_twist_disc': 220, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '20.12.0-2.a.1.1', '40.24.0-8.b.1.3', '44.12.0.a.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0811915138603199884646456772', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50792699010412581696041806173', 'prec': 107}, 'szpiro_ratio': 3.6780267655318037, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 0, -6, 2, 4, 4, -2, -4, 2, -10, -4, 4, -6, -12, 6, 4, -4, 10, 16, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 290400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '290400.bs', 'trace_hash': 1567001194174663496}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.025106553141534487551103158659', 'prec': 107}, 'conductor': 290400, 'gens': [[5691, 428582, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0811915138603199884646456772', 'prec': 100}], 'lmfdb_label': '290400.bs3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26842103026700459403696254487', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4555946445373913792624087672825804146', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-128, 0, 1], [367, 0, 1]], 'xcoord_integral_points': [-238, -128, 367, 5691]}
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lmfdb_label 290400.bs3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12326073
{'degree': 4, 'field': [89, 24, -23, -2, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 4]}
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id: 12326075
{'degree': 4, 'field': [146, -32, 33, -2, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 4]}
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id: 12326074
{'degree': 4, 'field': [729, 0, -34, 0, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 4]}
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id: 12326076
{'degree': 8, 'field': [-80476, -30536, 19976, 2992, 440, -308, 4, -4, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 6]}
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id: 12326078
{'degree': 16, 'field': [-158399, 635168, 1251468, -2556968, -1631922, 3129288, -442256, -508784, 125583, -8392, 10936, -4800, 618, 56, 12, -8, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 8]}
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id: 12326077
{'degree': 16, 'field': [14436, -9048, 12652, -11256, 19586, -28952, 34622, -31532, 22557, -13112, 6314, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '290400.bs3', 'torsion': [4, 4]}
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id: 12326080
{'degree': 16, 'field': [477481, 0, -1026624, 0, 275728, 0, 363816, 0, 73158, 0, 3744, 0, 448, 0, 24, 0, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 8]}
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id: 12326079
{'degree': 16, 'field': [22410756, 0, 2010928, 0, -11176, 0, -169872, 0, 31488, 0, -4824, 0, 396, 0, -16, 0, 1], 'lmfdb_label': '290400.bs3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 7193018
{'conductor': 290400, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '290400.bs3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7193019
{'conductor': 290400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '290400.bs3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7193020
{'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '290400.bs3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7193021
{'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '290400.bs3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3493292
{'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [437, 4, 436, 5], [221, 180, 90, 361], [421, 90, 130, 351], [263, 0, 0, 439], [119, 350, 0, 439]], 'adelic_image': '440.48.0.?', 'conductor': 290400, 'lmfdb_label': '290400.bs3', 'prime': 0}
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id: 1028408
{'conductor': 290400, 'elladic_image': '8.12.0.4', 'lmfdb_label': '290400.bs3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 290400.bs does not appear in ec_padic