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ec_curvedata • Show schema
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{'Ciso': '322752bw', 'Clabel': '322752bw2', 'Cnumber': 2, 'abc_quality': 1.0617280385727412, 'absD': 75671241387120814821759969656832, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [0, -1, 0, -48763149537, 4165723920093057], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 322752, 'degree': 1083801600, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.9574602845688918943844377614', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [-10298071306410575356297, 60769798505543808], 'lmfdb_iso': '322752.bw', 'lmfdb_label': '322752.bw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -453257, -118088116], 'min_quad_twist_disc': -328, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '164.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1681], [3, 4, 107584], [41, 882, 192]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0609534803768200283252078927', 'prec': 100}, 'szpiro_ratio': 6.736846611103491, '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, 2, 0, 2, 0, 1, 0, -4, 0, 4, 0, -2, 0, 2, 0, 0, 0], 'aplist': [0, -1, 2, 2, -4, 4, 2, 0, -4, 0, -4, -2, 0, -12, -2, -4, -4, -10, 8, -10, -2, -14, -12, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 322752, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '322752.bw', 'trace_hash': 554265137761574316}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.000049431604598365474762631474758', 'prec': 117}, 'conductor': 322752, 'gens': [], 'heights': [], 'lmfdb_label': '322752.bw2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.019468893946553794621080093489', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4017603641518732127177667312457163589', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-255129, 0, 1]], 'xcoord_integral_points': [-255129]}
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lmfdb_label 322752.bw2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13563254
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '322752.bw2', 'torsion': [2, 2]}
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id: 13563255
{'degree': 4, 'field': [-8, 0, -3, 0, 1], 'lmfdb_label': '322752.bw2', 'torsion': [4]}
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id: 13563258
{'degree': 8, 'field': [-80688, 0, -34112, 0, -984, 0, 0, 0, 1], 'lmfdb_label': '322752.bw2', 'torsion': [6]}
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id: 13563257
{'degree': 8, 'field': [4, 0, 332, 0, 5, 0, 2, 0, 1], 'lmfdb_label': '322752.bw2', 'torsion': [2, 4]}
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id: 13563256
{'degree': 8, 'field': [4323, -2756, 3306, -1136, 659, -112, 42, -4, 1], 'lmfdb_label': '322752.bw2', 'torsion': [2, 4]}
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id: 13563260
{'degree': 16, 'field': [56514, -74112, 97325, -50104, 35156, -15518, 13483, -12800, 11181, -6846, 3171, -1352, 559, -182, 46, -8, 1], 'lmfdb_label': '322752.bw2', 'torsion': [2, 6]}
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id: 13563259
{'degree': 16, 'field': [104976, 0, 221616, 0, 145476, 0, 5976, 0, -19268, 0, -332, 0, 449, 0, -38, 0, 1], 'lmfdb_label': '322752.bw2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 7987840
{'conductor': 322752, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '322752.bw2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7987841
{'conductor': 322752, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '322752.bw2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7987842
{'conductor': 322752, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '322752.bw2', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3686008
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [325, 4, 324, 5], [124, 209, 41, 288], [1, 2, 2, 5], [1, 4, 0, 1], [129, 4, 258, 9], [2, 1, 163, 0]], 'adelic_image': '328.12.0.?', 'conductor': 322752, 'lmfdb_label': '322752.bw2', 'prime': 0}
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id: 1127301
{'conductor': 322752, 'elladic_image': '8.6.0.5', 'lmfdb_label': '322752.bw2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 322752.bw does not appear in ec_padic