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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 2, 0, -2, -1, 0, -2, 1, 0, -6, 2, 0, 1, -2, 0, -4, 2], 'aplist': [-1, 0, 2, -2, 1, -6, -2, -4, 6, 6, 0, 0, -8, 4, -8, 6, 14, 10, 12, 8, 6, 16, 16, -14, -8], 'class_deg': 10, 'class_size': 4, 'conductor': 271062, 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'lmfdb_iso': '271062.o', 'trace_hash': 269219968865146271}
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lmfdb_iso 271062.o does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1715831
{'Ciso': '271062o', 'Clabel': '271062o4', 'Cnumber': 4, 'abc_quality': 1.028032775416621, 'absD': 7549029245479685377286193970176, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 24420, 'ainvs': [1, -1, 0, -5939516961, -116477650847363], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 271062, 'degree': 681984000, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6281338845511796162655487864', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [244587381607181341, 79679768374272], 'lmfdb_iso': '271062.o', 'lmfdb_label': '271062.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -482064, 84967680], 'min_quad_twist_disc': -111, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '60.36.0.e.1', '132.6.0.?', '185.12.0.?', '220.36.0.?', '370.36.0.?', '444.6.0.?', '555.24.0.?', '660.72.1.?', '740.72.0.?', '1110.72.0.?', '1628.6.0.?', '2220.144.1.?', '4884.12.0.?', '8140.144.1.?', '24420.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 333], [3, 8, 30118], [5, 2, 12321], [11, 12, 24642], [37, 398, 198]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3706393057339564372918544147', 'prec': 100}, 'szpiro_ratio': 6.325150551174502, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1715829
{'Ciso': '271062o', 'Clabel': '271062o2', 'Cnumber': 2, 'abc_quality': 1.0515297197985145, 'absD': 11142808842627596574396, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 24420, 'ainvs': [1, -1, 0, -2363161896, 44217494096692], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 271062, 'degree': 136396800, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8234149283341294289651691198', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [15404978391891661, 117612], 'lmfdb_iso': '271062.o', 'lmfdb_label': '271062.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -191799, -32410935], 'min_quad_twist_disc': -111, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '60.36.0.e.2', '132.6.0.?', '185.12.0.?', '220.36.0.?', '370.36.0.?', '444.6.0.?', '555.24.0.?', '660.72.1.?', '740.72.0.?', '1110.72.0.?', '1628.6.0.?', '2220.144.1.?', '4884.12.0.?', '8140.144.1.?', '24420.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 333], [3, 8, 30118], [11, 12, 24642], [37, 398, 198]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56592034951690624999147474806', 'prec': 103}, 'szpiro_ratio': 6.104138626931875, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1715828
{'Ciso': '271062o', 'Clabel': '271062o1', 'Cnumber': 1, 'abc_quality': 0.9612585649263695, 'absD': 984619108639456715482992, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 24420, 'ainvs': [1, -1, 0, -147599676, 691888059904], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 271062, 'degree': 68198400, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4768413380541567742565530590', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-3753503985421, 10392624], 'lmfdb_iso': '271062.o', 'lmfdb_label': '271062.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11979, -510867], 'min_quad_twist_disc': -111, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '60.36.0.d.1', '110.36.0.?', '132.6.0.?', '185.12.0.?', '370.36.0.?', '444.6.0.?', '555.24.0.?', '660.72.1.?', '740.72.0.?', '814.6.0.?', '1110.72.0.?', '2220.144.1.?', '4070.72.1.?', '4884.12.0.?', '8140.144.1.?', '12210.144.1.?', '24420.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3663], [3, 8, 30118], [11, 12, 24642], [37, 398, 198]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21934675923693359528285868726', 'prec': 103}, 'szpiro_ratio': 5.439477171881859, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1715830
{'Ciso': '271062o', 'Clabel': '271062o3', 'Cnumber': 3, 'abc_quality': 1.0146595457343637, 'absD': 143995491130844226232828035072, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 24420, 'ainvs': [1, -1, 0, 1062753759, -12470122934915], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 271062, 'degree': 340992000, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2815602942712069615569327256', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [1401130594505699, 1519867920384], 'lmfdb_iso': '271062.o', 'lmfdb_label': '271062.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 86256, 9153792], 'min_quad_twist_disc': -111, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '60.36.0.d.2', '110.36.0.?', '132.6.0.?', '185.12.0.?', '370.36.0.?', '444.6.0.?', '555.24.0.?', '660.72.1.?', '740.72.0.?', '814.6.0.?', '1110.72.0.?', '2220.144.1.?', '4070.72.1.?', '4884.12.0.?', '8140.144.1.?', '12210.144.1.?', '24420.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3663], [3, 8, 30118], [5, 2, 12321], [11, 12, 24642], [37, 398, 198]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0240657154539837825832383539', 'prec': 100}, 'szpiro_ratio': 5.912500614138521, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}