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ec_curvedata • Show schema
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{'Ciso': '441525k', 'Clabel': '441525k6', 'Cnumber': 6, 'abc_quality': 1.0084694014264846, 'absD': 15452977152687609142370109375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48720, 'ainvs': [1, 1, 1, -892911163, -8348862096094], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 441525, 'degree': 330301440, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1256022447222017898576291985', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [8471112631466271697, 1662662681263647], 'lmfdb_iso': '441525.k', 'lmfdb_label': '441525.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -42469, -2756140], 'min_quad_twist_disc': 145, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '28.12.0.h.1', '40.24.0-8.n.1.7', '48.24.0.e.2', '56.24.0.bj.1', '232.24.0.?', '240.48.0.?', '280.48.0.?', '336.48.0.?', '580.12.0.?', '1160.48.0.?', '1392.48.0.?', '1624.48.0.?', '1680.96.0.?', '4060.24.0.?', '6960.96.0.?', '8120.96.0.?', '9744.96.1.?', '48720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7131687762744233308555259695', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6372353735119145889656135157', 'prec': 100}, 'szpiro_ratio': 5.650381053335242, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, -1, 0, 1, -1, 3, 1, 0, -4, 1, 2, 1, 0, -1, 2, -1, 4, 0], 'aplist': [-1, -1, 0, -1, -4, 2, 2, 4, 0, 0, 8, -10, 6, 12, -8, -6, 12, 10, 12, -16, 2, 0, -4, 6, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 441525, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '441525.k', 'trace_hash': 1233311450214693271}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00026094406356735137944888278917', 'prec': 113}, 'conductor': 441525, 'gens': [[865275, 803962837, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.7131687762744233308555259695', 'prec': 100}], 'lmfdb_label': '441525.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.027996324380607619108746051955', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9029871910969710610282425795142848830', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-92125, 92121, 2]], 'xcoord_integral_points': [865275]}
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lmfdb_label 441525.k2 does not appear in ec_iwasawa
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lmfdb_label 441525.k2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10900577
{'conductor': 441525, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '441525.k2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10900578
{'conductor': 441525, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '441525.k2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10900579
{'conductor': 441525, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '441525.k2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10900580
{'conductor': 441525, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '441525.k2', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4385439
{'adelic_gens': [[16241, 9760, 13000, 29361], [26456, 9745, 4255, 38986], [19501, 9760, 2180, 2121], [48705, 16, 48704, 17], [1, 16, 0, 1], [5, 4, 48716, 48717], [15779, 38960, 38560, 10059], [15, 2, 48622, 48707], [37766, 12185, 10965, 34106], [1, 0, 16, 1], [9743, 0, 0, 48719]], 'adelic_image': '48720.192.1.?', 'conductor': 441525, 'lmfdb_label': '441525.k2', 'prime': 0}
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id: 1480637
{'conductor': 441525, 'elladic_image': '8.12.0.5', 'lmfdb_label': '441525.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 441525.k does not appear in ec_padic