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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, -2, 0, 0, -1], 'aplist': [1, 0, -1, 1, -4, 2, -2, 0, 8, 6, 8, 2, 2, -12, 8, 6, 4, -2, -12, 8, -14, 0, -12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 227430, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '227430.ec', 'trace_hash': 1670283510127834798}
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lmfdb_iso 227430.ec does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1452125
{'Ciso': '227430be', 'Clabel': '227430be6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 108033808834350, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, -1, 1, -54583268, -155202684343], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 14155776, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7582830633914070291635633825', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '56.24.0.bh.1', '112.48.0.?', '120.24.0.?', '228.12.0.?', '240.48.0.?', '456.24.0.?', '760.24.0.?', '840.48.0.?', '912.48.0.?', '1520.48.0.?', '1680.96.1.?', '2280.48.0.?', '3192.48.0.?', '4560.96.0.?', '5320.48.0.?', '6384.96.0.?', '10640.96.0.?', '15960.96.0.?', '31920.192.1.?'], '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': '6.8156393795546989599600366953', 'prec': 100}, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704810', 'prec': 103}, 'szpiro_ratio': 5.274538986075871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1452123
{'Ciso': '227430be', 'Clabel': '227430be4', 'Cnumber': 4, 'abc_quality': 1.0020619953336782, 'absD': 340306497828202500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 15960, 'ainvs': [1, -1, 1, -3411518, -2424307543], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 7077888, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4117094731114343744549473217', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4], 'jinv': [128031684631201, 9922500], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1050, -13533], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '56.48.0.n.1', '120.48.0.?', '228.24.0.?', '456.48.0.?', '760.48.0.?', '840.96.1.?', '2280.96.0.?', '3192.96.0.?', '5320.96.0.?', '15960.192.1.?'], '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': '3.4078196897773494799800183476', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098729', 'prec': 103}, 'szpiro_ratio': 4.6001991726802975, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1452124
{'Ciso': '227430be', 'Clabel': '227430be5', 'Cnumber': 5, 'abc_quality': 1.0081875418390414, 'absD': 1230572603753767968750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, -1, 1, -3184088, -2761631719], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 14155776, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7582830633914070291635633825', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '56.48.0.bn.1', '228.12.0.?', '240.48.0.?', '456.48.0.?', '1520.48.0.?', '1680.96.1.?', '3192.96.0.?', '4560.96.0.?', '10640.96.0.?', '31920.192.1.?'], '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': '6.8156393795546989599600366953', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704810', 'prec': 103}, 'szpiro_ratio': 4.621301647388711, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1452122
{'Ciso': '227430be', 'Clabel': '227430be3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 11862731603848946940, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, -1, 1, -1202198, 479830601], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 7077888, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4117094731114343744549473217', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '60.12.0.h.1', '112.48.0.?', '120.48.0.?', '228.12.0.?', '380.12.0.?', '456.48.0.?', '760.48.0.?', '1140.24.0.?', '1680.96.1.?', '2280.96.0.?', '6384.96.0.?', '10640.96.0.?', '31920.192.1.?'], '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': '3.4078196897773494799800183476', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098729', 'prec': 103}, 'szpiro_ratio': 4.346521024597695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1452121
{'Ciso': '227430be', 'Clabel': '227430be2', 'Cnumber': 2, 'abc_quality': 0.9591619974980434, 'absD': 296444771441456400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 15960, 'ainvs': [1, -1, 1, -227498, -32471719], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 3538944, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0651358828314617197463312610', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4], 'jinv': [37966934881, 8643600], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70, -205], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '56.48.0.r.1', '60.24.0.c.1', '120.48.0.?', '228.24.0.?', '380.24.0.?', '456.48.0.?', '760.48.0.?', '840.96.1.?', '1140.48.0.?', '2280.96.0.?', '3192.96.0.?', '5320.96.0.?', '15960.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7039098448886747399900091738', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.043610248914186644044194926593', 'prec': 107}, 'szpiro_ratio': 3.941619335006446, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1452120
{'Ciso': '227430be', 'Clabel': '227430be1', 'Cnumber': 1, 'abc_quality': 0.9283517895086211, 'absD': 6453219514371840, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, -1, 1, 32422, -3152743], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 227430, 'degree': 1769472, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7185622925514890650377152003', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [109902239, 188160], 'lmfdb_iso': '227430.ec', 'lmfdb_label': '227430.ec6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -13], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.2', '30.6.0.a.1', '56.24.0.bv.1', '60.12.0.g.1', '112.48.0.?', '120.24.0.?', '228.12.0.?', '240.48.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '840.48.0.?', '912.48.0.?', '1140.24.0.?', '1520.48.0.?', '1680.96.1.?', '2280.48.0.?', '3192.48.0.?', '4560.96.0.?', '5320.48.0.?', '6384.96.0.?', '10640.96.0.?', '15960.96.0.?', '31920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85195492244433736999500458691', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30296334136578601066442113411', 'prec': 107}, 'szpiro_ratio': 3.5222521609717825, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}