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ec_curvedata • Show schema
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{'Ciso': '216600ej', 'Clabel': '216600ej1', 'Cnumber': 1, 'abc_quality': 0.8728717925505501, 'absD': 74077200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 114, 'ainvs': [0, -1, 0, -728, 7797], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 216600, 'degree': 115200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40392162608164253004111997815', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1], 'jinv': [15573760, 27], 'lmfdb_iso': '216600.bx', 'lmfdb_label': '216600.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -728, 7797], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['114.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.87971821652760655732179301143', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83147683096896608386700747585', 'prec': 107}, 'szpiro_ratio': 2.5546452033560625, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 3, 0, 1, 0, -6, 0, 4, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, -1, 0, 3, -6, 4, 6, 0, 0, -3, -2, -8, 3, -4, -8, -1, -11, 15, -2, 7, 1, -14, -12, 7, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 216600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '216600.bx', 'trace_hash': 572060068332333514}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.44581854828140181855179271355', 'prec': 103}, 'conductor': 216600, 'gens': [[13, 19, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.87971821652760655732179301143', 'prec': 103}], 'lmfdb_label': '216600.bx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9402419542093635686435070235', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8274647663563975477366792386779218304', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [13]}
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lmfdb_label 216600.bx1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9444653
{'degree': 3, 'field': [-3, -8, -1, 1], 'lmfdb_label': '216600.bx1', 'torsion': [2]}
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id: 9444654
{'degree': 6, 'field': [-57, -57, 43, 27, -11, -3, 1], 'lmfdb_label': '216600.bx1', 'torsion': [2, 2]}
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id: 9444655
{'degree': 8, 'field': [-84051, -58482, -29520, -9234, -2340, -456, -12, 0, 1], 'lmfdb_label': '216600.bx1', 'torsion': [3]}
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id: 9444656
{'degree': 12, 'field': [8319461, -9771622, 402596, 3894300, -1944230, 305908, 10374, -12322, 3425, -270, -44, -2, 1], 'lmfdb_label': '216600.bx1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5369740
{'conductor': 216600, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '216600.bx1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5369741
{'conductor': 216600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '216600.bx1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5369742
{'conductor': 216600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '216600.bx1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 5369743
{'conductor': 216600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '216600.bx1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[77, 2, 77, 3], [1, 2, 0, 1], [97, 2, 97, 3], [1, 0, 2, 1], [113, 2, 112, 3], [1, 1, 113, 0]], 'adelic_image': '114.2.0.?', 'conductor': 216600, 'lmfdb_label': '216600.bx1', 'prime': 0}
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lmfdb_iso 216600.bx does not appear in ec_padic