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ec_curvedata • Show schema
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{'Ciso': '8400cj', 'Clabel': '8400cj2', 'Cnumber': 2, 'abc_quality': 0.9817377208835868, 'absD': 21073920000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [0, 1, 0, -140208, 21333588], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8400, 'degree': 77760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8831835567380540312133555957', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 60, 'isogeny_degrees': [1, 3], 'jinv': [-7620530425, 526848], 'lmfdb_iso': '8400.ci', 'lmfdb_label': '8400.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -351, -2702], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.1', '168.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 4, 400], [5, 2, 336], [7, 8, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15116188418364159037117597011', 'prec': 107}, 'szpiro_ratio': 5.232312625006713, '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, 1, 0, 1, 0, -6, 0, 1, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, 1, 0, 1, -6, 1, -3, 4, -3, 3, -5, 10, 9, -1, 0, -9, -9, 11, -4, 12, 10, 10, 9, -6, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 8400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '8400.ci', 'trace_hash': 1887932909522925638}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023135961120671224140005565918', 'prec': 107}, 'conductor': 8400, 'gens': [], 'heights': [], 'lmfdb_label': '8400.ci1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37659011818137904715723058178', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2595407090882742829433834906740988584', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '8400.ci1'}
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ec_torsion_growth • Show schema
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id: 440132
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [3]}
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id: 440133
{'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '8400.ci1', 'torsion': [2]}
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id: 440136
{'degree': 6, 'field': [-60, 0, 25, 0, -10, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [6]}
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id: 440135
{'degree': 6, 'field': [405, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [3]}
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id: 440134
{'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [2, 2]}
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id: 440138
{'degree': 12, 'field': [196, 84, 246, -650, 315, -36, 111, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '8400.ci1', 'torsion': [3, 3]}
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id: 440139
{'degree': 12, 'field': [9604, 0, -19208, 0, 18620, 0, 2380, 0, 305, 0, 52, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [2, 6]}
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id: 440137
{'degree': 12, 'field': [843584, 1215200, 216678, 1960, 86030, 43680, 12810, 1960, 90, -160, -17, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [4]}
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id: 440140
{'degree': 18, 'field': [-1190821500, 0, 2280767625, 0, -470751750, 0, 143218125, 0, -13450050, 0, 769500, 0, -53430, 0, 1845, 0, -30, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [9]}
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id: 440141
{'degree': 18, 'field': [157464, 0, 0, -1145988, 0, 0, 2292705, 0, 0, 166320, 0, 0, 14460, 0, 0, -108, 0, 0, 1], 'lmfdb_label': '8400.ci1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 175258
{'conductor': 8400, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '8400.ci1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 175259
{'conductor': 8400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8400.ci1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 175260
{'conductor': 8400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8400.ci1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 175261
{'conductor': 8400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8400.ci1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1719516
{'adelic_gens': [[4, 3, 9, 7], [626, 555, 505, 106], [835, 6, 834, 7], [503, 0, 0, 839], [209, 330, 795, 149], [1, 6, 0, 1], [421, 510, 255, 691], [3, 4, 8, 11], [241, 510, 555, 691], [1, 0, 6, 1]], 'adelic_image': '840.16.0.?', 'conductor': 8400, 'lmfdb_label': '8400.ci1', 'prime': 0}
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id: 41101
{'conductor': 8400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8400.ci1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 8400.ci does not appear in ec_padic
