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ec_curvedata • Show schema
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{'Ciso': '289296cd', 'Clabel': '289296cd1', 'Cnumber': 1, 'abc_quality': 1.016102601253096, 'absD': 24875725863301268128137216, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 6888, 'ainvs': [0, 0, 0, -136552563, -565365583566], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 41], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 289296, 'degree': 56899584, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6131940375185403584388845273', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 7], 'jinv': [801581275315909089, 70810888830976], 'lmfdb_iso': '289296.cd', 'lmfdb_label': '289296.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -19353, 958713], 'min_quad_twist_disc': -84, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '84.48.0.?', '2296.48.2.?', '6888.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, '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': '1.3977856380968835507713534157', 'prec': 100}, 'szpiro_ratio': 5.39237809453161, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -3, 0, -8, 0], 'aplist': [0, 0, -1, 0, -2, 0, -3, -8, -4, 5, -3, 10, -1, 5, -6, 9, 10, -13, 2, 9, -4, 11, 14, -1, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 289296, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '289296.cd', 'trace_hash': 1614684345182523822}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00072714250988709802828142522217', 'prec': 113}, 'conductor': 289296, 'gens': [], 'heights': [], 'lmfdb_label': '289296.cd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.044413730320485394149510704419', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71061968512776630639217127070511450773', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 289296.cd2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12286023
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '289296.cd2', 'torsion': [7]}
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id: 12286024
{'degree': 3, 'field': [-14, -14, -1, 1], 'lmfdb_label': '289296.cd2', 'torsion': [2]}
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id: 12286025
{'degree': 6, 'field': [8, -8, -94, 144, -47, -2, 1], 'lmfdb_label': '289296.cd2', 'torsion': [2, 2]}
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id: 12286026
{'degree': 6, 'field': [148, -4, 146, -48, 12, -2, 1], 'lmfdb_label': '289296.cd2', 'torsion': [14]}
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id: 12286027
{'degree': 8, 'field': [-9408, 0, 27972, 0, -1155, 0, -21, 0, 1], 'lmfdb_label': '289296.cd2', 'torsion': [3]}
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id: 12286028
{'degree': 12, 'field': [-747971, 1550453, -1934816, 3248389, -1431221, 495810, -193392, 32018, -7377, 925, -48, -3, 1], 'lmfdb_label': '289296.cd2', 'torsion': [4]}
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id: 12286029
{'degree': 12, 'field': [2569609, 0, 240982, 0, 72083, 0, -7188, 0, 267, 0, -10, 0, 1], 'lmfdb_label': '289296.cd2', 'torsion': [2, 14]}
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id: 12286030
{'degree': 16, 'field': [38416, 0, 500780, 0, 1057861, 0, 1064819, 0, 10339, 0, 11942, 0, 175, 0, 35, 0, 1], 'lmfdb_label': '289296.cd2', 'torsion': [21]}
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ec_localdata • Show schema
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id: 7166792
{'conductor': 289296, 'conductor_valuation': 4, 'discriminant_valuation': 33, 'j_denominator_valuation': 21, 'kodaira_symbol': -29, 'lmfdb_label': '289296.cd2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7166793
{'conductor': 289296, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '289296.cd2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 7166794
{'conductor': 289296, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '289296.cd2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7166795
{'conductor': 289296, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '289296.cd2', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3486846
{'adelic_gens': [[4591, 0, 0, 6887], [2288, 4011, 2877, 4106], [1, 14, 0, 1], [6280, 4599, 5985, 2290], [2288, 2289, 6321, 4598], [4600, 4599, 5733, 2290], [6875, 14, 6874, 15], [1, 0, 14, 1], [8, 5, 91, 57]], 'adelic_image': '6888.96.2.?', 'conductor': 289296, 'lmfdb_label': '289296.cd2', 'prime': 0}
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id: 1025377
{'conductor': 289296, 'elladic_image': '7.24.0.1', 'lmfdb_label': '289296.cd2', 'modell_image': '7B.6.1', 'prime': 7}
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lmfdb_iso 289296.cd does not appear in ec_padic