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{'anlist': [0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -2, 1, -4, -2, 0, -4, -8, 6, 0, 2, 10, 4, 0, -6, -4, -6, 12, 8, 6, 0, -12, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 291312, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '291312.bp', 'trace_hash': 1026837615723554976}
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lmfdb_iso 291312.bp does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1837304
{'Ciso': '291312bp', 'Clabel': '291312bp6', 'Cnumber': 6, 'abc_quality': 1.0624727966937526, 'absD': 1293089187801614706177862828032, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -570913424931, -166036463004685534], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 1698693120, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.2381889662451259577744291700', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '48.96.0-8.p.1.4', '204.12.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 7.377523894482007, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1837302
{'Ciso': '291312bp', 'Clabel': '291312bp4', 'Cnumber': 4, 'abc_quality': 1.07814467781823, 'absD': 39818867101414332709082979631104, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, 0, 0, -35749975971, -2583952540697950], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 849346560, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8916153759651533030658131093', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': 204, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '24.96.0-8.f.1.4', '136.96.1.?', '204.24.0.?', '408.192.1.?'], '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, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 6.716900403831505, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1837303
{'Ciso': '291312bp', 'Clabel': '291312bp5', 'Cnumber': 5, 'abc_quality': 1.0817271650752718, 'absD': 15130213814796461103815666178490368, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -12177008931, -5940634611545566], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 1698693120, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.2381889662451259577744291700', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '16.48.0.e.1', '24.48.0-8.k.1.4', '48.96.0-16.e.1.5', '136.48.0.?', '204.12.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 6.848140367126919, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1837300
{'Ciso': '291312bp', 'Clabel': '291312bp2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 3226956812680852421648805003264, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, 0, 0, -3775570851, 22441092658850], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 424673280, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5450417856851806483571970485', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': 204, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '12.24.0-4.b.1.2', '24.96.0-8.i.1.6', '68.24.0.c.1', '136.96.1.?', '204.48.0.?', '408.192.1.?'], '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, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749996', 'prec': 100}, 'szpiro_ratio': 6.180903459948625, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1837299
{'Ciso': '291312bp', 'Clabel': '291312bp1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 3997854653498821000531279872, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -2923275171, 60758772299426], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 212336640, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1984681954052079936485809878', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.1', '16.48.0.z.1', '24.48.0-8.bb.1.8', '34.6.0.a.1', '48.96.0-16.z.1.8', '68.12.0.g.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589389', 'prec': 100}, 'szpiro_ratio': 6.119901095724783, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1837301
{'Ciso': '291312bp', 'Clabel': '291312bp3', 'Cnumber': 3, 'abc_quality': 1.06742381122777, 'absD': 211088006770826419766401742143488, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, 14562103389, 176503229018786], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 291312, 'degree': 849346560, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8916153759651533030658131093', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '291312.bp', 'lmfdb_label': '291312.bp6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0-4.c.1.2', '16.48.0.z.2', '24.48.0-8.bb.2.4', '48.96.0-16.z.2.4', '68.12.0.h.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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, 2, 2601], [3, 8, 32368], [7, 8, 41616], [17, 162, 1008]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 6.5027572507040725, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
