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ec_curvedata • Show schema
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{'Ciso': '96b', 'Clabel': '96b1', 'Cnumber': 1, 'abc_quality': 1.0917548251330267, 'absD': 576, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -2, 0], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 96, 'degree': 4, 'elladic_images': ['8.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.77279396078313880309423082252', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [21952, 9], 'lmfdb_iso': '96.a', 'lmfdb_label': '96.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.b.1.2', '12.24.0-12.a.1.1', '24.48.0-24.f.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468832', 'prec': 103}, 'szpiro_ratio': 3.101318308788589, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 2, 0, 4, 0, 1, 0, -4, 0, -2, 0, -2, 0, -6, 0, 4, 0], 'aplist': [0, -1, 2, 4, -4, -2, -6, 4, 0, 2, -4, -2, 2, -4, -8, 10, 4, 6, -4, 16, -6, -4, -12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 96, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '96.a', 'trace_hash': 1908793913645849041}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '4.6907285970052796451409889886', 'prec': 100}, 'conductor': 96, 'gens': [], 'heights': [], 'lmfdb_label': '96.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '4.0043095218244249443186383455', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0010773804561062360796595863838217083', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[0, 0, 1], [2, 0, 1]], 'xcoord_integral_points': [-1, 0, 2]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '96.a3'}
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ec_torsion_growth • Show schema
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id: 3460
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 4]}
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id: 3462
{'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 4]}
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id: 3461
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 4]}
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id: 3465
{'degree': 8, 'field': [-3, 0, 40, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 6]}
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id: 3464
{'degree': 8, 'field': [1, 0, -4, 0, 14, 0, -4, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 8]}
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id: 3463
{'degree': 8, 'field': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [4, 4]}
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id: 3466
{'degree': 16, 'field': [1, 8, -12, -104, 264, -48, -380, 568, -222, -280, 532, -456, 264, -112, 36, -8, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 8]}
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id: 3467
{'degree': 16, 'field': [4, 0, 0, 0, -32, 0, -144, 0, 444, 0, -384, 0, 160, 0, -24, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 8]}
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id: 3468
{'degree': 16, 'field': [4, 0, 16, 0, 16, 0, 72, 0, 84, 0, 0, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '96.a3', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 577
{'conductor': 96, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '96.a3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 578
{'conductor': 96, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '96.a3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1666147
{'adelic_gens': [[21, 4, 20, 5], [15, 2, 22, 23], [21, 2, 10, 23], [1, 4, 0, 1], [17, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '24.48.0.?', 'conductor': 96, 'lmfdb_label': '96.a3', 'prime': 0}
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id: 321
{'conductor': 96, 'elladic_image': '8.24.0.4', 'lmfdb_label': '96.a3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 96.a does not appear in ec_padic