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ec_curvedata • Show schema
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{'Ciso': '88935s', 'Clabel': '88935s1', 'Cnumber': 1, 'abc_quality': 0.9884660970305377, 'absD': 3540535080644638438621875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 2310, 'ainvs': [0, -1, 1, -53007236, 173973325217], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 88935, 'degree': 34560000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4316677866019266160885909656', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 53, 'isogeny_degrees': [1, 5], 'jinv': [-79028701534867456, 16987307596875], 'lmfdb_iso': '88935.cb', 'lmfdb_label': '88935.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -8940, 378056], 'min_quad_twist_disc': 77, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '30.24.0-5.a.1.2', '385.24.0.?', '2310.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3003564164624925280693676355', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2597650756750846915049428049', 'prec': 100}, 'szpiro_ratio': 5.729134781097215, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, -1, 2, -1, -2, 0, 0, 1, -2, 0, -2, -6, 0, 1, -4, -7, 2, -5, -2], 'aplist': [2, -1, -1, 0, 0, -6, -7, -5, -1, 5, 8, -2, 12, 11, -8, -11, 5, 7, -2, 12, 4, 10, -1, -15, -3], 'class_deg': 5, 'class_size': 2, 'conductor': 88935, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '88935.cb', 'trace_hash': 466481369751863672}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0010454210320722299876291557100', 'prec': 110}, 'conductor': 88935, 'gens': [[2858425, 4828749509, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '6.3003564164624925280693676355', 'prec': 100}], 'lmfdb_label': '88935.cb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.075596276882987302732006620146', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6205358099264679555580308895863077484', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [11, 4, 0], '3': [3, 0], '5': [3, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '88935.cb2'}
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ec_torsion_growth • Show schema
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id: 4161986
{'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '88935.cb2', 'torsion': [5]}
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id: 4161987
{'degree': 3, 'field': [-26, 18, 0, 1], 'lmfdb_label': '88935.cb2', 'torsion': [2]}
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id: 4161989
{'degree': 6, 'field': [-73, -95, 84, 21, -8, -3, 1], 'lmfdb_label': '88935.cb2', 'torsion': [10]}
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id: 4161988
{'degree': 6, 'field': [2055, 2190, 1099, 64, -3, -2, 1], 'lmfdb_label': '88935.cb2', 'torsion': [2, 2]}
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id: 4161990
{'degree': 8, 'field': [-408183, -29535, -39121, 8910, -3909, -275, 15, 0, 1], 'lmfdb_label': '88935.cb2', 'torsion': [3]}
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id: 4161991
{'degree': 12, 'field': [-2238657, 570310, -591370, 168708, -23043, 38156, -13064, 124, -187, 318, 6, -4, 1], 'lmfdb_label': '88935.cb2', 'torsion': [4]}
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id: 4161992
{'degree': 12, 'field': [217849, 155294, 213709, 18630, 38116, 5698, 6019, 460, 400, -12, 17, 0, 1], 'lmfdb_label': '88935.cb2', 'torsion': [2, 10]}
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id: 4161993
{'degree': 16, 'field': [16283371703, 7248268378, -5902127972, -2551420314, 932749879, 386202236, -87627650, -32978192, 5495244, 1724314, -238462, -55312, 6974, 1008, -124, -8, 1], 'lmfdb_label': '88935.cb2', 'torsion': [15]}
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id: 4161994
{'degree': 20, 'field': [778286125, -767760000, 1251134700, -1118784220, 871193851, -515816388, 263443921, -108630102, 41055054, -13640902, 4600432, -1471866, 424696, -96020, 14657, -846, -231, 30, 10, -6, 1], 'lmfdb_label': '88935.cb2', 'torsion': [5]}
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ec_localdata • Show schema
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id: 2173934
{'conductor': 88935, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '88935.cb2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2173935
{'conductor': 88935, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '88935.cb2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2173936
{'conductor': 88935, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '88935.cb2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2173937
{'conductor': 88935, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '88935.cb2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2249845
{'adelic_gens': [[1, 0, 10, 1], [1649, 2300, 1315, 2259], [6, 13, 2255, 2191], [1541, 10, 775, 51], [2301, 10, 2300, 11], [1, 10, 5, 1437], [1, 10, 0, 1], [2099, 2300, 1255, 2259]], 'adelic_image': '2310.48.1.?', 'conductor': 88935, 'lmfdb_label': '88935.cb2', 'prime': 0}
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id: 361835
{'conductor': 88935, 'elladic_image': '5.12.0.1', 'lmfdb_label': '88935.cb2', 'modell_image': '5B.4.1', 'prime': 5}
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ec_padic • Show schema
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id: 4602015
{'lmfdb_iso': '88935.cb', 'p': 13, 'prec': 20, 'unit': 1168265671087628073408, 'val': 1}
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id: 4602017
{'lmfdb_iso': '88935.cb', 'p': 17, 'prec': 20, 'unit': 214126696353374636425046, 'val': 1}
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id: 4602018
{'lmfdb_iso': '88935.cb', 'p': 19, 'prec': 20, 'unit': 966840063462047784349015, 'val': 1}
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id: 4602022
{'lmfdb_iso': '88935.cb', 'p': 23, 'prec': 20, 'unit': 73955225875481401630885020, 'val': 1}
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id: 4602014
{'lmfdb_iso': '88935.cb', 'p': 29, 'prec': 20, 'unit': 2174474301658464472657238004, 'val': 1}
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id: 4602026
{'lmfdb_iso': '88935.cb', 'p': 31, 'prec': 20, 'unit': 5922652680594388615271477416, 'val': 1}
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id: 4602010
{'lmfdb_iso': '88935.cb', 'p': 37, 'prec': 20, 'unit': 501412909991427574737101665203, 'val': 1}
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id: 4602012
{'lmfdb_iso': '88935.cb', 'p': 41, 'prec': 20, 'unit': 1401543519677964707390741794709, 'val': 1}
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id: 4602013
{'lmfdb_iso': '88935.cb', 'p': 43, 'prec': 20, 'unit': 102247434479823174038174278985, 'val': 1}
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id: 4602024
{'lmfdb_iso': '88935.cb', 'p': 47, 'prec': 20, 'unit': 28985771109745814473263316257169, 'val': 1}
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id: 4602019
{'lmfdb_iso': '88935.cb', 'p': 53, 'prec': 20, 'unit': 148587332670918508036014805480731, 'val': 1}
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id: 4602020
{'lmfdb_iso': '88935.cb', 'p': 59, 'prec': 20, 'unit': 3415412063859898875805896198883847, 'val': 1}
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id: 4602025
{'lmfdb_iso': '88935.cb', 'p': 61, 'prec': 20, 'unit': 4708359186559232515960119384031751, 'val': 1}
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id: 4602009
{'lmfdb_iso': '88935.cb', 'p': 67, 'prec': 20, 'unit': 17824260709606246782228888109920324, 'val': 1}
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id: 4602011
{'lmfdb_iso': '88935.cb', 'p': 71, 'prec': 20, 'unit': 9045072010769348295373402589455099, 'val': 1}
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id: 4602021
{'lmfdb_iso': '88935.cb', 'p': 73, 'prec': 20, 'unit': 227448262500833331246360833535307090, 'val': 1}
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id: 4602016
{'lmfdb_iso': '88935.cb', 'p': 79, 'prec': 20, 'unit': 589771036133627615431505326782180615, 'val': 1}
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id: 4602008
{'lmfdb_iso': '88935.cb', 'p': 83, 'prec': 20, 'unit': 2900532895049377293460249021252716097, 'val': 1}
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id: 4602023
{'lmfdb_iso': '88935.cb', 'p': 89, 'prec': 20, 'unit': 7560622380419550007634153508993863655, 'val': 1}
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id: 4602007
{'lmfdb_iso': '88935.cb', 'p': 97, 'prec': 20, 'unit': 48396415129922619304546213202554388426, 'val': 1}