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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, -4, 0, 1, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, 0], 'aplist': [0, 1, -1, -4, 0, 0, -6, 0, 4, -2, -8, -6, 6, -12, -12, -10, 8, -10, -12, 8, -10, -16, 12, 6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 81120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '81120.bd', 'trace_hash': 870410044602946298}
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ec_padic • Show schema
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id: 4180095
{'lmfdb_iso': '81120.bd', 'p': 7, 'prec': 20, 'unit': 10685413354291070, 'val': 2}
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id: 4180100
{'lmfdb_iso': '81120.bd', 'p': 17, 'prec': 20, 'unit': 163665206326186597916982, 'val': 2}
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id: 4180105
{'lmfdb_iso': '81120.bd', 'p': 23, 'prec': 20, 'unit': 15481329216516367678701096, 'val': 2}
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id: 4180098
{'lmfdb_iso': '81120.bd', 'p': 29, 'prec': 20, 'unit': 3918499039544424287221202022, 'val': 2}
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id: 4180110
{'lmfdb_iso': '81120.bd', 'p': 31, 'prec': 20, 'unit': 3511958841097462738461231350, 'val': 2}
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id: 4180094
{'lmfdb_iso': '81120.bd', 'p': 37, 'prec': 20, 'unit': 527694187790173461793078399050, 'val': 2}
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id: 4180096
{'lmfdb_iso': '81120.bd', 'p': 41, 'prec': 20, 'unit': 2301649563427959144389984911506, 'val': 2}
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id: 4180097
{'lmfdb_iso': '81120.bd', 'p': 43, 'prec': 20, 'unit': 3977350144244029266619339259293, 'val': 2}
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id: 4180108
{'lmfdb_iso': '81120.bd', 'p': 47, 'prec': 20, 'unit': 34759102504408565246689931481908, 'val': 2}
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id: 4180102
{'lmfdb_iso': '81120.bd', 'p': 53, 'prec': 20, 'unit': 312146210867714413428941738104361, 'val': 2}
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id: 4180103
{'lmfdb_iso': '81120.bd', 'p': 59, 'prec': 20, 'unit': 4199615169177674302906879398089199, 'val': 2}
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id: 4180109
{'lmfdb_iso': '81120.bd', 'p': 61, 'prec': 20, 'unit': 4644766029425856848359589537785754, 'val': 2}
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id: 4180093
{'lmfdb_iso': '81120.bd', 'p': 67, 'prec': 20, 'unit': 15272985021435975428084586994428440, 'val': 2}
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id: 4180107
{'lmfdb_iso': '81120.bd', 'p': 71, 'prec': 20, 'unit': 96927840928473278802484709405027162, 'val': 2}
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id: 4180104
{'lmfdb_iso': '81120.bd', 'p': 73, 'prec': 20, 'unit': 38484801016986320377870140418845116, 'val': 2}
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id: 4180099
{'lmfdb_iso': '81120.bd', 'p': 79, 'prec': 20, 'unit': 806127323834305884124597600033862192, 'val': 2}
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id: 4180101
{'lmfdb_iso': '81120.bd', 'p': 83, 'prec': 20, 'unit': 2525585634077129848739888507783847514, 'val': 2}
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id: 4180106
{'lmfdb_iso': '81120.bd', 'p': 89, 'prec': 20, 'unit': 463464594889288276030794360597976530, 'val': 2}
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id: 4180092
{'lmfdb_iso': '81120.bd', 'p': 97, 'prec': 20, 'unit': 50554149393635136701930087925031442154, 'val': 2}
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ec_curvedata • Show schema
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id: 534588
{'Ciso': '81120t', 'Clabel': '81120t4', 'Cnumber': 4, 'abc_quality': 1.0109039721020272, 'absD': 111209679360, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 1, 0, -81176, -8929140], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 294912, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3747941196655699299944040385', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [23937672968, 45], 'lmfdb_iso': '81120.bd', 'lmfdb_label': '81120.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -480, 4212], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '52.12.0-4.c.1.1', '80.48.0.?', '104.24.0.?', '240.96.3.?', '520.48.0.?', '624.48.0.?', '1040.96.0.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '19.638682034644086209457215009', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377338', 'prec': 107}, 'szpiro_ratio': 4.0276016917658115, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 534587
{'Ciso': '81120t', 'Clabel': '81120t3', 'Cnumber': 3, 'abc_quality': 0.98174487513138, 'absD': 81071856253440, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 1, 0, -13576, 423320], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 294912, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3747941196655699299944040385', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [111980168, 32805], 'lmfdb_iso': '81120.bd', 'lmfdb_label': '81120.bd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -80, -168], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '52.12.0-4.c.1.2', '80.48.0.?', '104.24.0.?', '240.96.3.?', '520.48.0.?', '624.48.0.?', '1040.96.0.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.2274176271652553880910759381', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377338', 'prec': 107}, 'szpiro_ratio': 3.5529876987613367, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 534585
{'Ciso': '81120t', 'Clabel': '81120t1', 'Cnumber': 1, 'abc_quality': 1.0209883182460326, 'absD': 625554446400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 1, 0, -5126, -137760], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 147456, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0282205293855972752857879777', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2], 'jinv': [48228544, 2025], 'lmfdb_iso': '81120.bd', 'lmfdb_label': '81120.bd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30, 72], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '24.24.0.j.1', '40.24.0.a.1', '52.24.0-4.a.1.1', '80.48.0.?', '120.48.1.?', '240.96.3.?', '312.48.0.?', '520.48.0.?', '1040.96.0.?', '1560.96.1.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.9096705086610215523643037522', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60082773962514374744957180381', 'prec': 107}, 'szpiro_ratio': 3.29450452909126, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 534586
{'Ciso': '81120t', 'Clabel': '81120t2', 'Cnumber': 2, 'abc_quality': 1.1500905082842972, 'absD': 111209679360000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 1, 0, 2479, -504321], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 294912, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3747941196655699299944040385', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [85184, 5625], 'lmfdb_iso': '81120.bd', 'lmfdb_label': '81120.bd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 15, 225], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '24.24.0.z.1', '40.24.0.bf.1', '52.24.0-4.d.1.1', '80.48.0.?', '120.48.1.?', '240.96.3.?', '312.48.0.?', '520.48.0.?', '1040.96.0.?', '1560.96.1.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.9096705086610215523643037522', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60082773962514374744957180374', 'prec': 107}, 'szpiro_ratio': 3.5199456382428296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}