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ec_curvedata • Show schema
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{'Ciso': '202800br', 'Clabel': '202800br2', 'Cnumber': 2, 'abc_quality': 1.0072076908890615, 'absD': 2032806177408614400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -365616008, -2690075232012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 202800, 'degree': 61931520, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6310307021986383166284383677', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 157, 'isogeny_degrees': [1, 2], 'jinv': [17496824387403529, 6580454400], 'lmfdb_iso': '202800.gb', 'lmfdb_label': '202800.gb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5409, 152596], 'min_quad_twist_disc': -260, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.b.1', '40.12.0.a.1', '52.12.0-2.a.1.1', '60.12.0.b.1', '120.24.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '30.870743344156344183668320643', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85068988669087445188408285885', 'prec': 103}, 'szpiro_ratio': 5.790918753339164, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 1, 0, -4, 0, 0, 2, 4, 8, 2, -8, 2, 6, 12, 0, -10, 0, -10, 4, -16, -6, 8, 4, 14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 202800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '202800.gb', 'trace_hash': 2220239789995820954}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00070166013847360428200267260186', 'prec': 113}, 'conductor': 202800, 'gens': [[-1942912346076521, 2011919699340617891058, 418375]], 'heights': [{'__RealLiteral__': 0, 'data': '30.870743344156344183668320643', 'prec': 100}], 'lmfdb_label': '202800.gb3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.034526539821444782342563068638', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5268795951169238931878650299059553570', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-10877, 0, 1], [22078, 0, 1]], 'xcoord_integral_points': [-11202, -10877, 22078]}
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lmfdb_label 202800.gb3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8878683
{'degree': 4, 'field': [49, 0, 1, 0, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 4]}
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id: 8878684
{'degree': 4, 'field': [529, 0, 6, 0, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 4]}
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id: 8878682
{'degree': 4, 'field': [961, 0, -68, 0, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 4]}
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id: 8878685
{'degree': 8, 'field': [-114279, 17826, 10164, -7636, -1100, 494, 34, -4, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 6]}
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id: 8878686
{'degree': 16, 'field': [2521, -16624, 82702, -109900, 7448, 35840, 18690, -17716, -4699, 3856, 1134, -644, -196, 112, 4, -8, 1], 'lmfdb_label': '202800.gb3', 'torsion': [4, 4]}
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id: 8878688
{'degree': 16, 'field': [212811, 46920, -14574, -80352, 77602, -39284, 1562, 13440, -6173, -508, 2218, -832, -104, 84, 8, -8, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 8]}
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id: 8878687
{'degree': 16, 'field': [8122500, 0, -18298800, 0, 13840836, 0, -5778384, 0, 883213, 0, -50980, 0, 768, 0, -4, 0, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 8]}
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id: 8878689
{'degree': 16, 'field': [114939841, 0, 58096656, 0, 20494840, 0, 3617504, 0, 642354, 0, 63824, 0, 3640, 0, 96, 0, 1], 'lmfdb_label': '202800.gb3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5019117
{'conductor': 202800, 'conductor_valuation': 4, 'discriminant_valuation': 22, 'j_denominator_valuation': 10, 'kodaira_symbol': -18, 'lmfdb_label': '202800.gb3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5019118
{'conductor': 202800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '202800.gb3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5019119
{'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '202800.gb3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5019120
{'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '202800.gb3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2962237
{'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [623, 598, 0, 1559], [781, 364, 962, 729], [987, 1196, 1378, 597], [1557, 4, 1556, 5], [963, 962, 1118, 599], [479, 0, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 202800, 'lmfdb_label': '202800.gb3', 'prime': 0}
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id: 750481
{'conductor': 202800, 'elladic_image': '2.6.0.1', 'lmfdb_label': '202800.gb3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 202800.gb does not appear in ec_padic