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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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lmfdb_iso 17.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 19
{'Ciso': '17a', 'Clabel': '17a3', 'Cnumber': 3, 'abc_quality': 1.0313050753900588, 'absD': 17, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -91, -310], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 4, 'elladic_images': ['32.96.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.o.1.3', '16.48.0-16.j.1.3', '32.96.0-32.f.2.1', '34.6.0.a.1', '68.24.0-68.g.1.1', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 8.871856289039895, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 18
{'Ciso': '17a', 'Clabel': '17a2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 289, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 544, 'ainvs': [1, -1, 1, -6, -4], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 2, 'elladic_images': ['16.96.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a2', 'lmfdb_number': 2, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.1', '8.48.0-8.f.1.1', '16.96.0-16.c.2.2', '68.48.0-68.b.1.1', '136.192.3.?', '272.768.21.?', '544.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, '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': '-0.72320971122131613566604906496', 'prec': 107}, 'szpiro_ratio': 5.93969226527156, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 17
{'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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id: 20
{'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, 'serre_invariants': [[17, 18, 1]], '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]}
