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ec_curvedata • Show schema
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{'Ciso': '235200ox', 'Clabel': '235200ox2', 'Cnumber': 2, 'abc_quality': 0.9817377208835868, 'absD': 10155317715271680000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 1, 0, -1099233, 468974463], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 5971968, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3979932653286331511742683615', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 387, 'isogeny_degrees': [1, 3], 'jinv': [-7620530425, 526848], 'lmfdb_iso': '235200.ox', 'lmfdb_label': '235200.ox1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -351, -2702], 'min_quad_twist_disc': -56, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.3', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.3857104421594943392971796286', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15116188418364159037117597015', 'prec': 107}, 'szpiro_ratio': 4.322121411590263, '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, 0, 0, 1, 0, -6, 0, -1, 0, 0, 0, -3, 0, -4, 0], 'aplist': [0, 1, 0, 0, -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': 235200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '235200.ox', 'trace_hash': 1893096530244208076}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0082628432573825800500019878280', 'prec': 110}, 'conductor': 235200, 'gens': [[6283, 175616, 3], [317, 12348, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7120882304357386401605128716', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.6155817912281242307065140563', 'prec': 100}], 'lmfdb_label': '235200.ox1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.22505564162150231431522024518', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.792462040421241799759229770156497991', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-781, 317]}
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lmfdb_label 235200.ox1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10175225
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [3]}
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id: 10175226
{'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '235200.ox1', 'torsion': [2]}
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id: 10175229
{'degree': 6, 'field': [-672, 0, 352, 0, -34, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [6]}
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id: 10175227
{'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [2, 2]}
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id: 10175228
{'degree': 6, 'field': [2969, 1260, 588, -30, 42, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [3]}
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id: 10175232
{'degree': 12, 'field': [7056, 0, 0, 0, 4888, 0, 0, 0, 113, 0, 0, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [2, 6]}
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id: 10175230
{'degree': 12, 'field': [61448, 27420, 30812, 2476, -612, -1404, -2028, -180, -114, -25, 15, -1, 1], 'lmfdb_label': '235200.ox1', 'torsion': [4]}
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id: 10175231
{'degree': 12, 'field': [8814961, -3740940, -158172, -919020, 258846, 123480, -17858, 0, 1176, -60, -42, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [3, 3]}
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id: 10175233
{'degree': 18, 'field': [306368476, 230202592116, 180422985225, -27284222372, -48263934222, -1727705112, 4998158075, 247373112, -266197302, 4943980, 10937010, -619248, -316084, 11088, 5145, -92, -84, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [9]}
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id: 10175234
{'degree': 18, 'field': [1458274104, 0, 0, 0, 0, 0, 6664113, 0, 0, 0, 0, 0, -4338, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '235200.ox1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 5830339
{'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 27, 'j_denominator_valuation': 9, 'kodaira_symbol': -21, 'lmfdb_label': '235200.ox1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5830340
{'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '235200.ox1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5830341
{'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '235200.ox1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5830342
{'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '235200.ox1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3161274
{'adelic_gens': [[83, 162, 81, 149], [95, 162, 117, 149], [1, 0, 6, 1], [4, 3, 9, 7], [163, 6, 162, 7], [3, 4, 8, 11], [127, 6, 45, 19], [122, 51, 1, 106], [1, 6, 0, 1]], 'adelic_image': '168.16.0.?', 'conductor': 235200, 'lmfdb_label': '235200.ox1', 'prime': 0}
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id: 855153
{'conductor': 235200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '235200.ox1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 235200.ox does not appear in ec_padic