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ec_curvedata • Show schema
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{'Ciso': '235200ui', 'Clabel': '235200ui1', 'Cnumber': 1, 'abc_quality': 1.1312171453358946, 'absD': 61287040631250000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -137157533, -618200179437], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3673369517761966034992783576', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 528, 'isogeny_degrees': [1, 2, 4], 'jinv': [151591373397612544, 32558203125], 'lmfdb_iso': '235200.ui', 'lmfdb_label': '235200.ui3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -27991, -1811530], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '40.12.0-4.c.1.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 78400], [5, 18, 3136], [7, 32, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0120402705648686724651955514', 'prec': 100}, 'szpiro_ratio': 5.483705937501729, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, -6, 0, 6, 2, 4, -8, -2, 12, 6, 4, 12, 10, 8, -12, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 235200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '235200.ui', 'trace_hash': 304241147297165012}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0011889628535106603011107108310', 'prec': 110}, 'conductor': 235200, 'gens': [], 'heights': [], 'lmfdb_label': '235200.ui3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.044116417238528429593492141126', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7646566895411371837396856450486514301', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-6837, 0, 1]], 'xcoord_integral_points': [-6837]}
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lmfdb_label 235200.ui3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10177141
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 2]}
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id: 10177143
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [4]}
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id: 10177142
{'degree': 2, 'field': [210, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [4]}
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id: 10177144
{'degree': 4, 'field': [235, -10, 11, -2, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 4]}
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id: 10177148
{'degree': 8, 'field': [-4501875, 0, -85750, 0, -7350, 0, 0, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [6]}
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id: 10177145
{'degree': 8, 'field': [15625, 0, -4000, 0, -225, 0, -10, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 4]}
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id: 10177146
{'degree': 8, 'field': [30625, 0, -17500, 0, 2475, 0, 80, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [8]}
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id: 10177147
{'degree': 8, 'field': [68121, 0, 7612, 0, 558, 0, 12, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [8]}
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id: 10177149
{'degree': 16, 'field': [225, 20700, 952200, -640260, 218814, 163056, -57768, 48612, -5537, -3952, 1256, -124, 22, -44, 32, -8, 1], 'lmfdb_label': '235200.ui3', 'torsion': [4, 4]}
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id: 10177152
{'degree': 16, 'field': [27673375, 60676100, -58268440, -3144280, -2554260, 4819760, -1420910, -91160, -61389, 55012, -10162, -136, -220, 84, 8, -8, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 6]}
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id: 10177154
{'degree': 16, 'field': [44910089, -66389736, 31483876, 2595840, -4990108, -453144, 1025428, -167616, 32510, -23512, -1268, 3520, 148, -40, -4, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [12]}
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id: 10177151
{'degree': 16, 'field': [77951241, 0, -254664, 0, 12228498, 0, -396660, 0, 69571, 0, 17980, 0, 1422, 0, 52, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 8]}
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id: 10177150
{'degree': 16, 'field': [244140625, 0, 85937500, 0, 19703125, 0, 2462500, 0, 220000, 0, 16000, 0, 925, 0, 40, 0, 1], 'lmfdb_label': '235200.ui3', 'torsion': [2, 8]}
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id: 10177153
{'degree': 16, 'field': [707359415814, -105626737800, 224459201448, -21549014244, 29209257162, -1450822872, 1924174878, -8940396, 64761028, 2690656, 834766, 86884, 14686, -308, 244, -8, 1], 'lmfdb_label': '235200.ui3', 'torsion': [12]}
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ec_localdata • Show schema
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id: 5831279
{'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '235200.ui3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5831280
{'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '235200.ui3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 5831281
{'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '235200.ui3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5831282
{'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '235200.ui3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3161524
{'adelic_gens': [[736, 675, 565, 506], [559, 60, 730, 649], [833, 8, 832, 9], [269, 270, 470, 389], [1, 0, 8, 1], [1, 8, 0, 1], [503, 0, 0, 839], [1, 4, 4, 17], [7, 6, 834, 835], [44, 335, 505, 834]], 'adelic_image': '840.48.0.?', 'conductor': 235200, 'lmfdb_label': '235200.ui3', 'prime': 0}
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id: 855339
{'conductor': 235200, 'elladic_image': '4.6.0.1', 'lmfdb_label': '235200.ui3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 235200.ui does not appear in ec_padic