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ec_curvedata • Show schema
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{'Ciso': '458640h', 'Clabel': '458640h2', 'Cnumber': 2, 'abc_quality': 0.9895131675564663, 'absD': 182554313760000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -11099403, 14218183098], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 458640, 'degree': 23592960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7983877127683162976383177723', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [5468613271737741, 6601562500], 'lmfdb_iso': '458640.h', 'lmfdb_label': '458640.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -77079, 8247385], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.d.1', '42.6.0.a.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79480377844346039339831353729', 'prec': 103}, 'szpiro_ratio': 4.624172459387973, '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, 0, 0, 0, 0, -6, 0, 1, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, -1, 0, -6, 1, 6, 2, -4, 4, 6, 2, 6, 8, 0, 6, -4, 4, -8, 10, -6, 0, 0, 18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 458640, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '458640.h', 'trace_hash': 261213395149684813}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0037098069990453607789348841228', 'prec': 110}, 'conductor': 458640, 'gens': [], 'heights': [], 'lmfdb_label': '458640.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17939286991892340946332742142', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8702859187027745514132387426641146562', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[1974, 0, 1]], 'xcoord_integral_points': [1974]}
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lmfdb_label 458640.h1 does not appear in ec_iwasawa
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lmfdb_label 458640.h1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11311982
{'conductor': 458640, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '458640.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11311983
{'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '458640.h1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11311984
{'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '458640.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11311985
{'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '458640.h1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11311986
{'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '458640.h1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4484047
{'adelic_gens': [[1, 2, 2, 5], [124, 1, 179, 0], [1, 4, 0, 1], [317, 106, 104, 315], [284, 1, 139, 0], [417, 4, 416, 5], [1, 0, 4, 1], [3, 4, 8, 11], [337, 4, 254, 9]], 'adelic_image': '420.12.0.?', 'conductor': 458640, 'lmfdb_label': '458640.h1', 'prime': 0}
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id: 1529783
{'conductor': 458640, 'elladic_image': '2.3.0.1', 'lmfdb_label': '458640.h1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 458640.h does not appear in ec_padic