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ec_curvedata • Show schema
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{'Ciso': '313600c', 'Clabel': '313600c1', 'Cnumber': 1, 'abc_quality': 0.746007822668387, 'absD': 4722524979200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 0, 0, -1960, -109760], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 313600, 'degree': 958464, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1158747909110104500318660895', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-8640, 49], 'lmfdb_iso': '313600.c', 'lmfdb_label': '313600.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -40, -320], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [5, 10, 12544], [7, 32, 6400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99175391138892790172581032292', 'prec': 97}, 'szpiro_ratio': 2.902624479276058, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -3, 0, 0, 0, 0, 0, 6, 0, 3, 0, -4, 0, 0, 0, 3, 0, -5, 0], 'aplist': [0, -3, 0, 0, 3, -4, 3, -5, 6, -4, 6, 4, 9, 12, -4, 6, 4, 14, 7, -8, -7, -10, -17, -5, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 313600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '313600.c', 'trace_hash': 1979965040228573579}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10734046482736970294153128656', 'prec': 97}, 'conductor': 313600, 'gens': [], 'heights': [], 'lmfdb_label': '313600.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32185406489567002663350497687', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2874162595826801065340199074716979491', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 313600.c1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13210390
{'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '313600.c1', 'torsion': [2]}
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id: 13210391
{'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '313600.c1', 'torsion': [2, 2]}
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id: 13210392
{'degree': 8, 'field': [-720300, 0, -10080, 0, 2940, 0, 0, 0, 1], 'lmfdb_label': '313600.c1', 'torsion': [3]}
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id: 13210393
{'degree': 12, 'field': [-9800, 0, -32200, 0, -32175, 0, -2500, 0, 1030, 0, -60, 0, 1], 'lmfdb_label': '313600.c1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 7761621
{'conductor': 313600, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '313600.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 7761622
{'conductor': 313600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '313600.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 7761623
{'conductor': 313600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '313600.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3631154
{'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 313600, 'lmfdb_label': '313600.c1', 'prime': 0}
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id: 1099153
{'conductor': 313600, 'elladic_image': '8.2.0.1', 'lmfdb_label': '313600.c1', 'modell_image': '2G', 'prime': 2}
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lmfdb_iso 313600.c does not appear in ec_padic