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ec_curvedata • Show schema
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{'Ciso': '486720jb', 'Clabel': '486720jb2', 'Cnumber': 2, 'abc_quality': 0.9103546892985722, 'absD': 119559769804800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -19812, -935584], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 486720, 'degree': 2064384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4276920774925766340039848323', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 235, 'isogeny_degrees': [1, 2], 'jinv': [131096512, 18225], 'lmfdb_iso': '486720.jb', 'lmfdb_label': '486720.jb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -550, -4148], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.g.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45599858676680770512424176801', 'prec': 107}, 'szpiro_ratio': 3.1534426328339262, '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, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 8, 0], 'aplist': [0, 0, 1, -4, -2, 0, 2, 8, 8, 6, -8, 8, 6, 8, -6, 6, 10, -2, -12, 14, -8, -8, 2, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 486720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '486720.jb', 'trace_hash': 413503171145978093}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.057533715011639760263163272365', 'prec': 107}, 'conductor': 486720, 'gens': [], 'heights': [], 'lmfdb_label': '486720.jb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40612429591852202491194534699', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2489943673481761992955627759307467467', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-104, 0, 1]], 'xcoord_integral_points': [-104]}
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lmfdb_label 486720.jb1 does not appear in ec_iwasawa
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lmfdb_label 486720.jb1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11998941
{'conductor': 486720, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '486720.jb1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11998942
{'conductor': 486720, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '486720.jb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11998943
{'conductor': 486720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '486720.jb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 11998944
{'conductor': 486720, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '486720.jb1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4647240
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [112, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 486720, 'lmfdb_label': '486720.jb1', 'prime': 0}
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id: 1611574
{'conductor': 486720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '486720.jb1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 486720.jb does not appear in ec_padic