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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 1, -1, 0, -1, -4, 0, -2, -1, 0, 1, 0, 0, 4, 1], 'aplist': [-1, 0, 1, 1, -4, -2, 0, 4, -8, -2, 0, -6, -6, -4, 0, 10, -12, -14, -12, -8, -10, -16, 12, -10, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 182070, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '182070.bi', 'trace_hash': 1074613892825167033}
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lmfdb_iso 182070.bi does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1172099
{'Ciso': '182070cj', 'Clabel': '182070cj7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 6337303051530150, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 57120, 'ainvs': [1, -1, 0, -4996000854, 135920780694310], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 83886080, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7603422332577259327754281748', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bl.2', '48.96.1.dq.1', '136.48.0.?', '160.96.2.?', '204.12.0.?', '224.96.1.?', '272.96.0.?', '408.96.0.?', '480.192.5.?', '560.96.2.?', '672.192.5.?', '816.192.1.?', '1120.192.5.?', '1680.192.5.?', '2720.192.2.?', '3360.384.13.?', '3808.192.1.?', '8160.384.5.?', '9520.192.2.?', '11424.384.5.?', '19040.384.5.?', '28560.384.5.?', '57120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.5720356482793253145362582570', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 6.4901224390418895, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1172097
{'Ciso': '182070cj', 'Clabel': '182070cj5', 'Cnumber': 5, 'abc_quality': 1.05504045380176, 'absD': 2282379694008583522500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 28560, 'ainvs': [1, -1, 0, -312250104, 2123820019660], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 41943040, 'elladic_images': ['8.48.0.144'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4137686429777532780668121141', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.1', '24.96.1.ch.1', '80.96.2.?', '112.96.1.?', '136.96.0.?', '204.24.0.?', '240.192.5.?', '336.192.5.?', '408.192.1.?', '560.192.5.?', '1360.192.2.?', '1680.384.13.?', '1904.192.1.?', '4080.384.5.?', '5712.384.5.?', '9520.384.5.?', '28560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 36, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3930089120698313286340645643', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 5.8033931567059795, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1172100
{'Ciso': '182070cj', 'Clabel': '182070cj8', 'Cnumber': 8, 'abc_quality': 1.0554678196515268, 'absD': 87716431616002508660610150, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 57120, 'ainvs': [1, -1, 0, -310299354, 2151664635010], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 83886080, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7603422332577259327754281748', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bp.2', '48.96.1.eg.1', '80.96.2.?', '136.48.0.?', '204.12.0.?', '224.96.1.?', '240.192.5.?', '272.96.0.?', '408.96.0.?', '672.192.5.?', '816.192.1.?', '1120.192.5.?', '1360.192.2.?', '3360.384.13.?', '3808.192.1.?', '4080.384.5.?', '11424.384.5.?', '19040.384.5.?', '57120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.5720356482793253145362582570', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 5.805543980221364, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1172096
{'Ciso': '182070cj', 'Clabel': '182070cj4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 2120894976494981458800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 57120, 'ainvs': [1, -1, 0, -39197124, -94420180832], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 20971520, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0671950526977806233581960533', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.v.1', '28.12.0.h.1', '56.48.0.bl.2', '80.96.2.?', '96.96.1.?', '112.96.1.?', '204.12.0.?', '408.48.0.?', '480.192.5.?', '544.96.0.?', '560.192.5.?', '672.192.5.?', '816.96.0.?', '1428.24.0.?', '1632.192.1.?', '2720.192.2.?', '2856.96.0.?', '3360.384.13.?', '3808.192.1.?', '4080.192.2.?', '5712.192.1.?', '8160.384.5.?', '11424.384.5.?', '19040.384.5.?', '28560.384.5.?', '57120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.288142593117301258145033028', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 5.2893964592965395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1172095
{'Ciso': '182070cj', 'Clabel': '182070cj3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 21388397798914256250000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 28560, 'ainvs': [1, -1, 0, -19637604, 32752572160], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 20971520, 'elladic_images': ['8.48.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0671950526977806233581960533', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0.c.1', '24.96.1.w.2', '56.96.1.x.1', '80.96.2.?', '136.96.0.?', '168.192.5.?', '204.48.0.?', '240.192.5.?', '408.192.1.?', '560.192.5.?', '952.192.1.?', '1360.192.2.?', '1680.384.13.?', '2856.384.5.?', '4080.384.5.?', '9520.384.5.?', '28560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 38, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3930089120698313286340645643', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 5.1182070490607705, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1172094
{'Ciso': '182070cj', 'Clabel': '182070cj2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 905122075016910240000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 28560, 'ainvs': [1, -1, 0, -2783124, -1047402032], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 10485760, 'elladic_images': ['8.48.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7206214624178079686495799926', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.2', '28.24.0.c.1', '48.96.1.f.2', '56.96.1.cd.2', '80.96.2.?', '204.24.0.?', '240.192.5.?', '272.96.0.?', '336.192.5.?', '408.96.0.?', '560.192.5.?', '816.192.1.?', '1360.192.2.?', '1428.48.0.?', '1680.384.13.?', '1904.192.1.?', '2856.192.1.?', '4080.384.5.?', '5712.384.5.?', '9520.384.5.?', '28560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.5720356482793253145362582570', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006520', 'prec': 103}, 'szpiro_ratio': 4.634261729523835, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1172093
{'Ciso': '182070cj', 'Clabel': '182070cj1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 16346472748100812800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 57120, 'ainvs': [1, -1, 0, 546156, -117201200], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 5242880, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3740478721378353139409639319', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '14.6.0.b.1', '16.48.0.v.1', '28.12.0.g.1', '56.48.0.bh.2', '96.96.1.?', '112.96.1.?', '160.96.2.?', '204.12.0.?', '240.96.2.?', '408.48.0.?', '480.192.5.?', '544.96.0.?', '672.192.5.?', '816.96.0.?', '1120.192.5.?', '1360.96.0.?', '1428.24.0.?', '1632.192.1.?', '1680.192.5.?', '2720.192.2.?', '2856.96.0.?', '3360.384.13.?', '3808.192.1.?', '4080.192.2.?', '5712.192.1.?', '8160.384.5.?', '9520.192.1.?', '11424.384.5.?', '19040.384.5.?', '28560.384.5.?', '57120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.288142593117301258145033028', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400450', 'prec': 103}, 'szpiro_ratio': 4.230924861723483, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1172098
{'Ciso': '182070cj', 'Clabel': '182070cj6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 4736305493311157226562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 57120, 'ainvs': [1, -1, 0, 3303216, 104681219188], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 182070, 'degree': 41943040, 'elladic_images': ['16.48.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4137686429777532780668121141', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '182070.bi', 'lmfdb_label': '182070.bi8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.q.1', '16.48.0.j.1', '24.48.0.be.1', '48.96.1.bf.2', '56.48.0.bd.1', '84.24.0.?', '112.96.1.?', '136.48.0.?', '160.96.2.?', '168.96.1.?', '204.24.0.?', '272.96.0.?', '336.192.5.?', '408.96.0.?', '476.24.0.?', '480.192.5.?', '816.192.1.?', '952.96.0.?', '1120.192.5.?', '1428.48.0.?', '1904.192.1.?', '2720.192.2.?', '2856.192.1.?', '3360.384.13.?', '5712.384.5.?', '8160.384.5.?', '19040.384.5.?', '57120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3930089120698313286340645643', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 5.306370130014394, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}