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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -2, 0, 0, -1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 4, -2], 'aplist': [-1, 0, -2, 0, 1, 2, 2, 4, 1, 2, 0, -2, 10, 4, 0, 2, 12, -6, 12, -8, -10, 16, 12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 223146, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '223146.o', 'trace_hash': 196204731523012512}
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lmfdb_iso 223146.o does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1426363
{'Ciso': '223146cq', 'Clabel': '223146cq6', 'Cnumber': 6, 'abc_quality': 1.026353897124655, 'absD': 86731684696356216244243362, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [1, -1, 0, -30374798463, -2037589022314301], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 314572800, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4878561001845909017409715406', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [36136672427711016379227705697, 1011258101510224722], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -68877094, -220024810702], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '84.12.0.?', '168.96.0.?', '368.96.1.?', '7728.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3816352040156391728698805237', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9655948813228794034906725504', 'prec': 100}, 'szpiro_ratio': 6.822596240250977, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1426360
{'Ciso': '223146cq', 'Clabel': '223146cq3', 'Cnumber': 3, 'abc_quality': 1.006469662519772, 'absD': 2570056229124452020051723932, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [1, -1, 0, -2173743693, 38932836408409], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 157286400, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1412825099046182470323554799', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13244420128496241770842177, 29965867631164664892], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4929124, 4203486548], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '84.12.0.?', '92.12.0.?', '168.48.0.?', '184.48.0.?', '336.96.0.?', '368.96.1.?', '1932.24.0.?', '3864.96.0.?', '7728.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.763270408031278345739761047', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6190212910429067487820564897', 'prec': 100}, 'szpiro_ratio': 6.180199686315121, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1426361
{'Ciso': '223146cq', 'Clabel': '223146cq4', 'Cnumber': 4, 'abc_quality': 1.0578349411900805, 'absD': 4002264290628992539735760484, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3864, 'ainvs': [1, -1, 0, -1900835253, -31752073571135], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 157286400, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1412825099046182470323554799', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [8856076866003496152467137, 46664863048067576004], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4310284, -3428989876], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '84.24.0.?', '168.96.0.?', '184.96.1.?', '3864.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6908176020078195864349402618', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6190212910429067487820564897', 'prec': 100}, 'szpiro_ratio': 6.147519746274338, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1426362
{'Ciso': '223146cq', 'Clabel': '223146cq5', 'Cnumber': 5, 'abc_quality': 1.0855625581939408, 'absD': 1838751280183569793207364370018, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [1, -1, 0, -872030763, -65989246672049], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 314572800, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4878561001845909017409715406', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-855073332201294509246497, 21439133060285771735058], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1977394, -7125687370], 'min_quad_twist_disc': 21, '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', '84.12.0.?', '168.48.0.?', '184.48.0.?', '336.96.0.?', '368.96.1.?', '3864.96.0.?', '7728.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3816352040156391728698805237', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9655948813228794034906725504', 'prec': 100}, 'szpiro_ratio': 6.265573224911845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1426359
{'Ciso': '223146cq', 'Clabel': '223146cq2', 'Cnumber': 2, 'abc_quality': 1.0243855179901846, 'absD': 401991177380049266377881744, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3864, 'ainvs': [1, -1, 0, -185512833, 123762959725], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 78643200, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7947089196246455923237394192', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [8232463578739844255617, 4687062591766850064], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -420664, 13323824], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '84.24.0.?', '92.24.0.?', '168.96.0.?', '184.96.1.?', '1932.48.0.?', '3864.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3816352040156391728698805237', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2724477007629340940734404290', 'prec': 100}, 'szpiro_ratio': 5.5806952063727495, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1426358
{'Ciso': '223146cq', 'Clabel': '223146cq1', 'Cnumber': 1, 'abc_quality': 1.0111517512014607, 'absD': 6315404549315383141095168, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [1, -1, 0, 45959247, 15387731869], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 223146, 'degree': 39321600, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4481353293446729376151233585', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [125177609053596564863, 73635189229502208], 'lmfdb_iso': '223146.o', 'lmfdb_label': '223146.o6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 104216, 1671488], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.z.1', '46.6.0.a.1', '84.12.0.?', '92.12.0.?', '168.48.0.?', '184.48.0.?', '336.96.0.?', '368.96.1.?', '1932.24.0.?', '3864.96.0.?', '7728.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.763270408031278345739761047', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9258741104829614393648243683', 'prec': 100}, 'szpiro_ratio': 5.24079189172165, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}