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ec_curvedata • Show schema
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{'Ciso': '17a', 'Clabel': '17a1', 'Cnumber': 1, 'abc_quality': 1.1807067659885138, 'absD': 83521, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -1, -14], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 1, 'elladic_images': ['16.96.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.t.1.2', '16.96.0-16.m.2.1', '136.96.1.?', '272.384.9.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 6.631276933576505, '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': '2.1239386990649830805557180695', 'prec': 100}, 'conductor': 17, 'gens': [], 'heights': [], 'lmfdb_label': '17.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5470797535511201732095790050', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.38676993838778004330239475124309554740', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[7, 13, 1]], 'xcoord_integral_points': [7]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 2], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '17.a3'}
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ec_torsion_growth • Show schema
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id: 262
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [2, 4]}
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id: 264
{'degree': 4, 'field': [1, -1, -2, -1, 1], 'lmfdb_label': '17.a3', 'torsion': [8]}
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id: 263
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [4, 4]}
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id: 267
{'degree': 8, 'field': [1, -4, 4, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '17.a3', 'torsion': [12]}
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id: 266
{'degree': 8, 'field': [1, 0, 5, 0, 4, 0, 5, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [2, 8]}
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id: 265
{'degree': 8, 'field': [16, 0, 0, 0, 9, 0, 0, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [2, 8]}
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id: 268
{'degree': 16, 'field': [1, 0, 0, 0, 8, 0, 0, 0, 15, 0, 0, 0, -8, 0, 0, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [4, 8]}
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id: 269
{'degree': 16, 'field': [1, 0, 0, 0, 17, 0, 0, 0, -32, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [4, 8]}
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id: 270
{'degree': 16, 'field': [1, 0, 0, 0, 69, 0, 0, 0, 28, 0, 0, 0, -35, 0, 0, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [16]}
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id: 271
{'degree': 16, 'field': [1, 0, 8, 0, 16, 0, 11, 0, 28, 0, -7, 0, 1, 0, 2, 0, 1], 'lmfdb_label': '17.a3', 'torsion': [2, 12]}
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ec_localdata • Show schema
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{'conductor': 17, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17.a3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1665907
{'adelic_gens': [[191, 478, 974, 279], [1, 64, 0, 1], [174, 863, 739, 498], [9, 124, 756, 745], [513, 12, 0, 1], [1025, 64, 1024, 65], [1, 0, 64, 1], [57, 16, 176, 393]], 'adelic_image': '1088.1536.53.?', 'conductor': 17, 'lmfdb_label': '17.a3', 'prime': 0}
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id: 25
{'conductor': 17, 'elladic_image': '16.96.0.32', 'lmfdb_label': '17.a3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 17.a does not appear in ec_padic
