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ec_curvedata • Show schema
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{'Ciso': '89280cy', 'Clabel': '89280cy1', 'Cnumber': 1, 'abc_quality': 1.0471286196381777, 'absD': 89452307793995366400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1240, 'ainvs': [0, 0, 0, -7860972, -8495449936], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 89280, 'degree': 3194880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7241766640915634331853511817', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 153, 'isogeny_degrees': [1, 2], 'jinv': [-281115640967896441, 468084326400], 'lmfdb_iso': '89280.fx', 'lmfdb_label': '89280.fx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13648, 613406], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '62.6.0.b.1', '1240.12.0.?'], '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, 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1351497489175906233618803811', 'prec': 100}, 'szpiro_ratio': 5.197470791512953, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 4, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 1, 4, 2, -2, 0, 0, 6, 0, 1, 2, 10, 4, -4, 6, -4, 0, -4, 16, 4, 4, 8, -6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 89280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '89280.fx', 'trace_hash': 1994794413860802424}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0043033851225771718483558311114', 'prec': 110}, 'conductor': 89280, 'gens': [], 'heights': [], 'lmfdb_label': '89280.fx2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.045077223053418908363035596242', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5077223053418908363035596241553432850', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[3238, 0, 1]], 'xcoord_integral_points': [3238]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '31': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '89280.fx2'}
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ec_torsion_growth • Show schema
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id: 4176692
{'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '89280.fx2', 'torsion': [2, 2]}
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id: 4176693
{'degree': 4, 'field': [15, -30, 1, -2, 1], 'lmfdb_label': '89280.fx2', 'torsion': [4]}
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id: 4176696
{'degree': 8, 'field': [-311052, 0, 21030, 0, 432, 0, -44, 0, 1], 'lmfdb_label': '89280.fx2', 'torsion': [6]}
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id: 4176695
{'degree': 8, 'field': [11071, 11040, 2820, 960, 353, -60, 30, 0, 1], 'lmfdb_label': '89280.fx2', 'torsion': [2, 4]}
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id: 4176694
{'degree': 8, 'field': [160000, 0, 8424, 0, -607, 0, -18, 0, 1], 'lmfdb_label': '89280.fx2', 'torsion': [2, 4]}
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id: 4176697
{'degree': 16, 'field': [-69392900, 22824400, 93540200, -32191200, -3667120, 2304760, 554260, 1560960, -20219, 72720, 9456, -400, 826, -40, 36, 0, 1], 'lmfdb_label': '89280.fx2', 'torsion': [8]}
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id: 4176698
{'degree': 16, 'field': [219698438400, 0, -24105178152, 0, -553916556, 0, 52670736, 0, 2916108, 0, 77004, 0, 3232, 0, 92, 0, 1], 'lmfdb_label': '89280.fx2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2182193
{'conductor': 89280, 'conductor_valuation': 6, 'discriminant_valuation': 44, 'j_denominator_valuation': 26, 'kodaira_symbol': -38, 'lmfdb_label': '89280.fx2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2182194
{'conductor': 89280, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '89280.fx2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2182195
{'conductor': 89280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '89280.fx2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 2182196
{'conductor': 89280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '89280.fx2', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2252049
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1122, 1, 679, 0], [1, 2, 2, 5], [1, 4, 0, 1], [497, 4, 994, 9], [621, 4, 2, 9], [777, 466, 464, 775], [1237, 4, 1236, 5]], 'adelic_image': '1240.12.0.?', 'conductor': 89280, 'lmfdb_label': '89280.fx2', 'prime': 0}
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id: 363130
{'conductor': 89280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '89280.fx2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 89280.fx does not appear in ec_padic