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ec_curvedata • Show schema
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{'Ciso': '202800kg', 'Clabel': '202800kg2', 'Cnumber': 2, 'abc_quality': 1.044679748772945, 'absD': 22648476688233398437500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, 354577492, -6769363711488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 202800, 'degree': 140894208, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1232237325313071928790111703', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 119, 'isogeny_degrees': [1, 2], 'jinv': [116227003261808, 533935546875], 'lmfdb_iso': '202800.ep', 'lmfdb_label': '202800.ep2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 83924, 24621076], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '52.6.0.c.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 49, 'sha_primes': [7], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93269463784480758059369450821', 'prec': 103}, 'szpiro_ratio': 5.94190771823787, '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, 2, 0, 1, 0, 4, 0, 0, 0, 0, 0, 2, 0, 6, 0], 'aplist': [0, -1, 0, 2, 4, 0, 2, 6, 0, 10, 2, 8, -2, 4, 8, -2, 0, 10, 2, 12, -8, -8, -16, -6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 202800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '202800.ep', 'trace_hash': 1727404290456485805}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00026218833801554948785724047905', 'prec': 113}, 'conductor': 202800, 'gens': [], 'heights': [], 'lmfdb_label': '202800.ep2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.019210068268398924736961982157', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '49.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7651733806061892484445485026923284246', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[12957, 0, 1]], 'xcoord_integral_points': [12957]}
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lmfdb_label 202800.ep2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8882108
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '202800.ep2', 'torsion': [2, 2]}
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id: 8882109
{'degree': 4, 'field': [-36, -48, 15, -1, 1], 'lmfdb_label': '202800.ep2', 'torsion': [4]}
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id: 8882111
{'degree': 8, 'field': [4356, 0, -2505, 0, 487, 0, -35, 0, 1], 'lmfdb_label': '202800.ep2', 'torsion': [2, 4]}
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id: 8882110
{'degree': 8, 'field': [17650, -11650, 1445, -1030, 886, 82, 44, -2, 1], 'lmfdb_label': '202800.ep2', 'torsion': [2, 4]}
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id: 8882112
{'degree': 8, 'field': [585386, 952204, 492494, 89396, 6034, 614, 34, -4, 1], 'lmfdb_label': '202800.ep2', 'torsion': [6]}
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id: 8882113
{'degree': 16, 'field': [175561, 0, -2523784, 0, -1867002, 0, -89912, 0, 1495, 0, -584, 0, 210, 0, -16, 0, 1], 'lmfdb_label': '202800.ep2', 'torsion': [8]}
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id: 8882114
{'degree': 16, 'field': [114902892640, -53311425600, 21838918976, -20570878784, 9541837504, -999554896, -64231048, -17098544, 62483122, -2884648, -599542, -18440, 19858, -550, -154, 0, 1], 'lmfdb_label': '202800.ep2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5020693
{'conductor': 202800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202800.ep2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5020694
{'conductor': 202800, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '202800.ep2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5020695
{'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '202800.ep2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5020696
{'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '202800.ep2', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2962175
{'adelic_gens': [[1, 2, 2, 5], [106, 1, 103, 0], [112, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 202800, 'lmfdb_label': '202800.ep2', 'prime': 0}
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id: 750439
{'conductor': 202800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '202800.ep2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 202800.ep does not appear in ec_padic