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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, 1, -1, 1, 0, 0, -2, -4, -1, 0, 1, 6, -1, 2, 0], 'aplist': [-1, -2, 0, 1, 0, -4, 6, 2, 0, -6, -4, 2, 6, 8, -12, 6, -6, 8, -4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 14, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '14.a', 'trace_hash': 1459918945821948014}
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lmfdb_iso 14.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 7
{'Ciso': '14a', 'Clabel': '14a5', 'Cnumber': 5, 'abc_quality': 1.0648884149541868, 'absD': 25088, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -2731, -55146], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 6, 'elladic_images': ['8.6.0.6', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235484', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.b.1', '9.24.0-9.a.1.1', '18.72.0-18.a.1.2', '24.48.0-24.y.1.13', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.d.1.3', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235484', 'prec': 103}, 'szpiro_ratio': 13.395065575232227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 5
{'Ciso': '14a', 'Clabel': '14a3', 'Cnumber': 3, 'abc_quality': 1.0293250379726038, 'absD': 1835008, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -171, -874], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 3, 'elladic_images': ['8.6.0.1', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.c.1', '9.24.0-9.a.1.1', '14.6.0.b.1', '18.72.0-18.a.1.2', '24.48.0-24.bw.1.11', '42.48.0-42.b.1.3', '56.12.0.n.1', '63.72.0-63.d.1.3', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'szpiro_ratio': 10.244544953238103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 4
{'Ciso': '14a', 'Clabel': '14a2', 'Cnumber': 2, 'abc_quality': 1.0082122835525031, 'absD': 941192, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -36, -70], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 2, 'elladic_images': ['8.6.0.6', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.b.1', '24.144.1-24.h.1.1', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.a.1.3', '84.144.1.?', '126.216.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'szpiro_ratio': 8.45906639413832, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 8
{'Ciso': '14a', 'Clabel': '14a6', 'Cnumber': 6, 'abc_quality': 0.9676277689392396, 'absD': 98, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -11, 12], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 6, 'elladic_images': ['8.6.0.6', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a4', 'lmfdb_number': 4, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.b.1', '9.24.0-9.a.1.2', '18.72.0-18.a.1.1', '24.48.0-24.y.1.15', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.d.2.4', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 107}, 'szpiro_ratio': 7.075888453908073, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 6
{'Ciso': '14a', 'Clabel': '14a4', 'Cnumber': 4, 'abc_quality': 1.0171207213859017, 'absD': 28, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 3, 'elladic_images': ['8.6.0.1', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a5', 'lmfdb_number': 5, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.c.1', '9.24.0-9.a.1.2', '14.6.0.b.1', '18.72.0-18.a.1.1', '24.48.0-24.bw.1.15', '42.48.0-42.b.1.4', '56.12.0.n.1', '63.72.0-63.d.2.4', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 4.193459101196728, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 3
{'Ciso': '14a', 'Clabel': '14a1', 'Cnumber': 1, 'abc_quality': 0.9869508090989833, 'absD': 21952, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, 4, -6], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 1, 'elladic_images': ['8.6.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.c.1', '14.6.0.b.1', '24.144.1-24.n.1.1', '42.144.1-42.d.1.2', '56.12.0.n.1', '63.72.0-63.a.1.3', '126.432.7.?', '168.288.5.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 6.49759476362272, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
