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ec_curvedata • Show schema
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{'Ciso': '576d', 'Clabel': '576d6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 626913312768, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, 0, 0, 564, 37744], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 576, 'degree': 512, 'elladic_images': ['16.96.0.250'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94367462909411553716446012382', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '576.d', 'lmfdb_label': '576.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '12.12.0-4.c.1.2', '16.96.0-8.m.1.3', '24.96.0-8.m.1.2', '48.192.1-48.w.2.8'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 5.44363169850947, '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, -2, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -2, 0, 4, 2, -2, 4, 8, 6, 8, -6, 6, -4, 0, -2, 4, 2, 4, -8, 10, -8, -4, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 576, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '576.d', 'trace_hash': 1671394830863646620}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15147279241380995335677055559', 'prec': 103}, 'conductor': 576, 'gens': [], 'heights': [], 'lmfdb_label': '576.d6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68820470050109284938672190020', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3764094010021856987734438004014166847', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-28, 0, 1]], 'xcoord_integral_points': [-28]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a'}, 'iwp0': 3, 'lmfdb_label': '576.d6'}
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ec_torsion_growth • Show schema
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id: 26283
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [8]}
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id: 26284
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '576.d6', 'torsion': [4]}
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id: 26282
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 2]}
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id: 26285
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 8]}
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id: 26290
{'degree': 8, 'field': [-3, 0, -6, 0, 18, 0, -4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [6]}
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id: 26288
{'degree': 8, 'field': [1, 0, 0, 0, -10, 0, 0, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [16]}
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id: 26287
{'degree': 8, 'field': [4, 0, 0, 0, 2, 0, 0, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [8]}
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id: 26286
{'degree': 8, 'field': [9, 0, 12, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 4]}
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id: 26289
{'degree': 8, 'field': [36, 0, 24, 0, 10, 0, 4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 16]}
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id: 26291
{'degree': 16, 'field': [1, 0, -4, 0, 8, 0, -24, 0, 47, 0, -24, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [4, 8]}
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id: 26292
{'degree': 16, 'field': [1, 0, -4, 0, 8, 0, 36, 0, 62, 0, 36, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 16]}
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id: 26293
{'degree': 16, 'field': [4, 0, 64, 0, -20, 0, 64, 0, -56, 0, 4, 0, 16, 0, 4, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [2, 6]}
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id: 26295
{'degree': 16, 'field': [9, 0, -30, 0, 82, 0, -60, 0, 39, 0, -20, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [12]}
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id: 26294
{'degree': 16, 'field': [324, 0, -1296, 0, 756, 0, -312, 0, 156, 0, -60, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '576.d6', 'torsion': [24]}
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ec_localdata • Show schema
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id: 6754
{'conductor': 576, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '576.d6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 6755
{'conductor': 576, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '576.d6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1668451
{'adelic_gens': [[1, 0, 16, 1], [31, 32, 8, 15], [1, 16, 0, 1], [22, 37, 9, 34], [4, 7, 21, 22], [15, 2, 46, 35], [5, 4, 44, 45], [33, 16, 32, 17]], 'adelic_image': '48.192.1.?', 'conductor': 576, 'lmfdb_label': '576.d6', 'prime': 0}
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id: 2602
{'conductor': 576, 'elladic_image': '16.96.0.250', 'lmfdb_label': '576.d6', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 576.d does not appear in ec_padic