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ec_curvedata • Show schema
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{'Ciso': '428400nu', 'Clabel': '428400nu1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 2587935800863752192000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4080, 'ainvs': [0, 0, 0, -252878475, 1545867400250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 428400, 'degree': 94371840, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5865804795941501408241933455', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 358, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '428400.nu', 'lmfdb_label': '428400.nu5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.z.1', '34.6.0.a.1', '60.12.0-4.c.1.1', '68.12.0.g.1', '120.48.0.?', '136.48.0.?', '240.96.0.?', '272.96.1.?', '1020.24.0.?', '2040.96.0.?', '4080.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8663310670634071973872149165', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589390', 'prec': 100}, 'szpiro_ratio': 5.3716739956895605, '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, 0, 0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 0, 1, 4, 2, 1, -4, -8, -6, 0, 2, -10, -4, 0, 6, -4, 6, -12, -8, 6, 0, 12, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 428400, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '428400.nu', 'trace_hash': 1486538549349455727}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00076689477283137160239613832110', 'prec': 113}, 'conductor': 428400, 'gens': [[1058021, 1088159744, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8663310670634071973872149165', 'prec': 100}], 'lmfdb_label': '428400.nu5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.081018917819486729252723054501', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9008433991007809532234998790770049487', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[9445, 0, 1]], 'xcoord_integral_points': [9445, 1058021]}
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lmfdb_label 428400.nu5 does not appear in ec_iwasawa
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lmfdb_label 428400.nu5 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10582668
{'conductor': 428400, 'conductor_valuation': 4, 'discriminant_valuation': 36, 'j_denominator_valuation': 24, 'kodaira_symbol': -32, 'lmfdb_label': '428400.nu5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 10582669
{'conductor': 428400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '428400.nu5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10582670
{'conductor': 428400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '428400.nu5', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10582671
{'conductor': 428400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '428400.nu5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 10582672
{'conductor': 428400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '428400.nu5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4309440
{'adelic_gens': [[4065, 16, 4064, 17], [5, 4, 4076, 4077], [1, 16, 0, 1], [2719, 0, 0, 4079], [1, 1920, 3060, 3061], [15, 2, 3982, 4067], [2879, 2160, 30, 2609], [1, 0, 16, 1], [3016, 1905, 2175, 826], [3263, 0, 0, 4079]], 'adelic_image': '4080.192.1.?', 'conductor': 428400, 'lmfdb_label': '428400.nu5', 'prime': 0}
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id: 1442435
{'conductor': 428400, 'elladic_image': '16.48.0.102', 'lmfdb_label': '428400.nu5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 428400.nu does not appear in ec_padic