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ec_curvedata • Show schema
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{'Ciso': '17a', 'Clabel': '17a4', 'Cnumber': 4, 'abc_quality': 1.024323072883995, 'absD': 17, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 4, 'elladic_images': ['32.96.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a4', 'lmfdb_number': 4, 'manin_constant': 4, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.o.1.1', '16.48.0-16.j.1.1', '32.96.0-32.f.2.2', '34.6.0.a.1', '68.24.0-68.g.1.2', '136.96.0.?', '272.384.7.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.7023412678771113, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, -2, 0, 4, 3, -3, 2, 0, 0, -2, -4, 0, -1, 1, 3, -4, 2], 'aplist': [-1, 0, -2, 4, 0, -2, 1, -4, 4, 6, 4, -2, -6, 4, 0, 6, -12, -10, 4, -4, -6, 12, -4, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 17, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17.a', 'trace_hash': 256041048516234311}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '8.4957547962599323222228722782', 'prec': 100}, 'conductor': 17, 'gens': [], 'heights': [], 'lmfdb_label': '17.a4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '6.1883190142044806928383160199', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.38676993838778004330239475124309554740', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '17.a4'}
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ec_torsion_growth • Show schema
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id: 299
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '17.a4', 'torsion': [2, 4]}
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id: 300
{'degree': 4, 'field': [1, -2, 1, 0, 1], 'lmfdb_label': '17.a4', 'torsion': [8]}
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id: 301
{'degree': 4, 'field': [1, 1, -6, -1, 1], 'lmfdb_label': '17.a4', 'torsion': [2, 8]}
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id: 304
{'degree': 8, 'field': [1, -4, 4, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '17.a4', 'torsion': [12]}
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id: 303
{'degree': 8, 'field': [1, 0, 5, 0, 4, 0, 5, 0, 1], 'lmfdb_label': '17.a4', 'torsion': [2, 8]}
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id: 302
{'degree': 8, 'field': [16, 8, 2, -22, 17, -10, 8, -4, 1], 'lmfdb_label': '17.a4', 'torsion': [4, 4]}
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id: 307
{'degree': 16, 'field': [1, -12, 55, -105, -2, 357, -642, 535, -185, -59, 55, 34, -53, 20, 4, -5, 1], 'lmfdb_label': '17.a4', 'torsion': [2, 16]}
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id: 306
{'degree': 16, 'field': [1, -8, 24, -36, 41, -60, 72, -44, 15, -16, 32, -40, 25, -8, 2, 0, 1], 'lmfdb_label': '17.a4', 'torsion': [16]}
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id: 308
{'degree': 16, 'field': [1, 1, 11, 0, 53, 74, 13, 21, -50, -84, 76, -2, -28, 21, -1, -4, 1], 'lmfdb_label': '17.a4', 'torsion': [2, 12]}
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id: 305
{'degree': 16, 'field': [16, 16, -8, -56, 264, -644, 758, -358, -19, 10, 108, -138, 114, -70, 30, -8, 1], 'lmfdb_label': '17.a4', 'torsion': [4, 8]}
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ec_localdata • Show schema
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{'conductor': 17, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17.a4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1665908
{'adelic_gens': [[357, 980, 1040, 417], [1, 64, 0, 1], [15, 286, 314, 547], [81, 64, 790, 335], [1025, 64, 1024, 65], [1, 0, 64, 1], [59, 10, 574, 503], [440, 17, 191, 330]], 'adelic_image': '1088.1536.53.?', 'conductor': 17, 'lmfdb_label': '17.a4', 'prime': 0}
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id: 26
{'conductor': 17, 'elladic_image': '32.96.0.10', 'lmfdb_label': '17.a4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 17.a does not appear in ec_padic