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ec_curvedata • Show schema
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{'Ciso': '457776k', 'Clabel': '457776k1', 'Cnumber': 1, 'abc_quality': 0.9397227826998661, 'absD': 187137436333681861632, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -3815667, -2792303550], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 457776, 'degree': 29196288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6659070393084038938924563024', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [12628458252, 384659], 'lmfdb_iso': '457776.k', 'lmfdb_label': '457776.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1467, -21050], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '408.6.0.?', '1496.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.15228149968740750595977170211', 'prec': 107}, 'szpiro_ratio': 4.379076940879224, '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, -4, 0, 4, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, -4, 4, 1, -4, 0, 0, 6, -2, 8, -6, 6, -4, 0, 14, 14, 10, -4, -10, 8, -4, -8, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 457776, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '457776.k', 'trace_hash': 1394341466397903891}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0048352904542333638603364964637', 'prec': 110}, 'conductor': 457776, 'gens': [], 'heights': [], 'lmfdb_label': '457776.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10822221282486062899695721493', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5973331077966550959269731583855854349', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-1275, 0, 1]], 'xcoord_integral_points': [-1275]}
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lmfdb_label 457776.k2 does not appear in ec_iwasawa
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lmfdb_label 457776.k2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11291387
{'conductor': 457776, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '457776.k2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 11291388
{'conductor': 457776, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '457776.k2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11291389
{'conductor': 457776, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '457776.k2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 11291390
{'conductor': 457776, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '457776.k2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4479075
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [2996, 1, 1495, 0], [2809, 1684, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 457776, 'lmfdb_label': '457776.k2', 'prime': 0}
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id: 1527217
{'conductor': 457776, 'elladic_image': '2.3.0.1', 'lmfdb_label': '457776.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 457776.k does not appear in ec_padic