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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, -4, 0, 1, 0, 4, 0, 2, 0, -1, 0, 1, 0, -4, 0], 'aplist': [0, -1, 1, -4, 4, 2, 1, -4, 0, -2, 0, -2, 6, -8, 8, 6, 0, 14, 0, 12, -2, 8, 4, 2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 2040, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2040.d', 'trace_hash': 680858529255242618}
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lmfdb_iso 2040.d does not appear in ec_padic
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ec_curvedata • Show schema
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id: 11550
{'Ciso': '2040l', 'Clabel': '2040l4', 'Cnumber': 4, 'abc_quality': 1.0016136042307515, 'absD': 4700160, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -97920, 11826540], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2040, 'degree': 4608, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2092808420351924276851109425', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [50700519510140162, 2295], 'lmfdb_iso': '2040.d', 'lmfdb_label': '2040.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -97920, 11826540], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '60.12.0-4.c.1.1', '120.24.0.?', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 255], [3, 4, 680], [5, 6, 408], [17, 18, 120]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57389592652190922738598149783', 'prec': 103}, 'szpiro_ratio': 6.0479090862555545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 11549
{'Ciso': '2040l', 'Clabel': '2040l3', 'Cnumber': 3, 'abc_quality': 0.972386047765907, 'absD': 11564156160000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -6800, 143052], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2040, 'degree': 4608, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2092808420351924276851109425', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [16981825082402, 5646560625], 'lmfdb_iso': '2040.d', 'lmfdb_label': '2040.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6800, 143052], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 17], [3, 4, 680], [5, 6, 408], [17, 18, 120]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57389592652190922738598149783', 'prec': 103}, 'szpiro_ratio': 4.997934354816726, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 11548
{'Ciso': '2040l', 'Clabel': '2040l2', 'Cnumber': 2, 'abc_quality': 0.9569438002222543, 'absD': 5393433600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -6120, 186300], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2040, 'degree': 2304, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86270725175521977297649488174', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [24759905519524, 5267025], 'lmfdb_iso': '2040.d', 'lmfdb_label': '2040.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6120, 186300], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '60.24.0-60.b.1.1', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 680], [5, 6, 408], [17, 18, 120]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28508460128859868179546811386', 'prec': 103}, 'szpiro_ratio': 4.956459818753717, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 11547
{'Ciso': '2040l', 'Clabel': '2040l1', 'Cnumber': 1, 'abc_quality': 0.9002062801940288, 'absD': 2886485760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -340, 3652], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2040, 'degree': 1152, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51613366147524711826787882101', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [-17029316176, 11275335], 'lmfdb_iso': '2040.d', 'lmfdb_label': '2040.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -340, 3652], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '30.6.0.a.1', '60.24.0-60.g.1.3', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 680], [5, 6, 408], [17, 18, 120]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.054035541101950245323057406705', 'prec': 107}, 'szpiro_ratio': 3.9190749288949265, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}