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ec_curvedata • Show schema
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{'Ciso': '490776bs', 'Clabel': '490776bs1', 'Cnumber': 1, 'abc_quality': 0.9866287598451596, 'absD': 1598616898864128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -155536, -23479652], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 490776, 'degree': 5529600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7757577066592671735909836276', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [63253004, 243], 'lmfdb_iso': '490776.bs', 'lmfdb_label': '490776.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -920, -10404], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.i.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.995477912637046746130565565', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68381344073771492163227275556', 'prec': 107}, 'szpiro_ratio': 3.6232019063596397, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 4, 0, -4, 0, 1, 0, 0, 0, 0, 0, -4, 0, -6, 0, -6, 0], 'aplist': [0, -1, 4, -4, 0, 0, -6, -6, 2, -2, -4, 10, 2, -2, 6, 0, -12, 2, 4, -6, -4, 8, 0, 6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 490776, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '490776.bs', 'trace_hash': 381498220546151044}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.028681142918827478820130332242', 'prec': 107}, 'conductor': 490776, 'gens': [[7566098, 5248647360, 127]], 'heights': [{'__RealLiteral__': 0, 'data': '13.995477912637046746130565565', 'prec': 100}], 'lmfdb_label': '490776.bs2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24045950071275150748618464826', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7306912622180918445456772977449554454', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-238, 0, 1]], 'xcoord_integral_points': [-238]}
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lmfdb_label 490776.bs2 does not appear in ec_iwasawa
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lmfdb_label 490776.bs2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 12100251
{'conductor': 490776, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '490776.bs2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 12100252
{'conductor': 490776, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '490776.bs2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 12100253
{'conductor': 490776, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '490776.bs2', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 12100254
{'conductor': 490776, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '490776.bs2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4671432
{'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [52, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 490776, 'lmfdb_label': '490776.bs2', 'prime': 0}
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id: 1623864
{'conductor': 490776, 'elladic_image': '2.3.0.1', 'lmfdb_label': '490776.bs2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 490776.bs does not appear in ec_padic