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ec_curvedata • Show schema
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{'Ciso': '576f', 'Clabel': '576f1', 'Cnumber': 1, 'absD': 1728, 'ainvs': [0, 0, 0, -3, 0], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 576, 'degree': 32, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.68930626346450944069484771335', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '576.i', 'lmfdb_label': '576.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -12, 0], 'min_quad_twist_disc': 8, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.345687124043405, '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, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -8, 0, 0, 0], 'aplist': [0, 0, 4, 0, 0, 6, -8, 0, 0, -4, 0, 2, 8, 0, 0, -4, 0, 10, 0, 0, 6, 0, 0, -16, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 576, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '576.i', 'trace_hash': 385827485716049965}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '3.9693903827627596663162680333', 'prec': 100}, 'conductor': 576, 'gens': [], 'heights': [], 'lmfdb_label': '576.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '3.9846657991669814146736160620', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9923328995834907073368080310226096230', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a'}, 'iwp0': 3, 'lmfdb_label': '576.i1'}
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ec_torsion_growth • Show schema
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id: 26348
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 2]}
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id: 26349
{'degree': 4, 'field': [12, 0, -6, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [4]}
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id: 26352
{'degree': 8, 'field': [-3, 0, 0, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 6]}
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id: 26351
{'degree': 8, 'field': [-2, 16, -16, 4, -8, 8, 2, -4, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 4]}
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id: 26353
{'degree': 8, 'field': [1, -12, 58, -108, 108, -48, 10, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [10]}
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id: 26350
{'degree': 8, 'field': [9, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 4]}
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id: 26354
{'degree': 16, 'field': [1, -12, 68, -232, 488, -564, 194, 396, -665, 444, -62, -152, 162, -92, 34, -8, 1], 'lmfdb_label': '576.i1', 'torsion': [4, 4]}
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id: 26359
{'degree': 16, 'field': [4, 0, -16, 0, 16, 0, 8, 0, -20, 0, -16, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 12]}
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id: 26356
{'degree': 16, 'field': [9, 0, 0, 0, -18, 0, 0, 0, 39, 0, 0, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [6, 6]}
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id: 26355
{'degree': 16, 'field': [49, 0, -244, 0, 470, 0, -460, 0, 271, 0, -116, 0, 38, 0, -8, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [8]}
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id: 26357
{'degree': 16, 'field': [81, 0, 0, 0, 54, 0, 0, 0, -369, 0, 0, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [10]}
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id: 26358
{'degree': 16, 'field': [2025, 0, 0, 0, 270, 0, 0, 0, -9, 0, 0, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '576.i1', 'torsion': [2, 10]}
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ec_localdata • Show schema
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id: 6764
{'conductor': 576, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '576.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 6765
{'conductor': 576, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '576.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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lmfdb_label 576.i1 does not appear in ec_galrep
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lmfdb_iso 576.i does not appear in ec_padic