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ec_curvedata • Show schema
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{'Ciso': '223080be', 'Clabel': '223080be2', 'Cnumber': 2, 'abc_quality': 0.9856789904359551, 'absD': 302141046308971858560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, -1, 0, -271051720, 1717503883900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 223080, 'degree': 57802752, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5232472223625919457879872220', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2], 'jinv': [445574312599094932036, 61129333175625], 'lmfdb_iso': '223080.cb', 'lmfdb_label': '223080.cb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1603856, 782243100], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '156.24.0.?', '264.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6631498931652024865802167333', 'prec': 100}, 'szpiro_ratio': 5.673198754243285, '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, 1, 0, 4, 0, 1, 0, 1, 0, 0, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, -1, 1, 4, 1, 0, -2, -4, -4, 6, 0, -10, 10, 4, 0, 10, 12, -2, -8, 8, 2, -16, 12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 223080, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '223080.cb', 'trace_hash': 1917383407451551623}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00087045504334477686799437262448', 'prec': 113}, 'conductor': 223080, 'gens': [], 'heights': [], 'lmfdb_label': '223080.cb3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.093576381901341435822655199337', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9944442208429259463249663787972731146', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[9421, 0, 1], [9590, 0, 1]], 'xcoord_integral_points': [-19010, 9421, 9590]}
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lmfdb_label 223080.cb3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9703521
{'degree': 2, 'field': [-286, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 4]}
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id: 9703523
{'degree': 4, 'field': [100, 0, -19, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 4]}
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id: 9703522
{'degree': 4, 'field': [5710, 112, -111, -2, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 4]}
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id: 9703526
{'degree': 8, 'field': [-73983468, 0, 2781532, 0, -29796, 0, 0, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 6]}
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id: 9703524
{'degree': 8, 'field': [1371250, 122324, -119546, -5596, 2899, -124, 46, -4, 1], 'lmfdb_label': '223080.cb3', 'torsion': [4, 4]}
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id: 9703525
{'degree': 8, 'field': [1890625, 0, -102910500, 0, -129800, 0, -660, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 8]}
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id: 9703528
{'degree': 16, 'field': [86953, -179858, 293772, -229438, 115490, 8832, -21086, 19126, -8829, 2020, 322, -474, 170, -70, 30, -8, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 8]}
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id: 9703529
{'degree': 16, 'field': [394649215008400, 0, -98378079483200, 0, 4750440930400, 0, -122696596176, 0, 1967904312, 0, -20781816, 0, 141196, 0, -572, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 12]}
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id: 9703527
{'degree': 16, 'field': [1695339120854016, 0, 95742766817280, 0, 688571870976, 0, -22908061440, 0, 398336976, 0, 995040, 0, -19944, 0, 120, 0, 1], 'lmfdb_label': '223080.cb3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5532646
{'conductor': 223080, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '223080.cb3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5532647
{'conductor': 223080, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '223080.cb3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5532648
{'conductor': 223080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '223080.cb3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 5532649
{'conductor': 223080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '223080.cb3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5532650
{'conductor': 223080, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '223080.cb3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3088238
{'adelic_gens': [[1717, 4, 2, 9], [2373, 3430, 1850, 1], [1145, 2, 0, 1], [861, 4, 1718, 3], [1, 4, 0, 1], [937, 4, 1874, 9], [1, 0, 4, 1], [3429, 4, 3428, 5]], 'adelic_image': '3432.48.0.?', 'conductor': 223080, 'lmfdb_label': '223080.cb3', 'prime': 0}
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id: 817176
{'conductor': 223080, 'elladic_image': '4.12.0.1', 'lmfdb_label': '223080.cb3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 223080.cb does not appear in ec_padic