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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, -1, 0, -2, 6, -4, 1, -6, 4, -2, -6, 8, -12, 6, -12, -2, 8, 0, 2, -8, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 154560, 'isogeny_matrix': [[1, 2, 4, 4, 3, 6, 12, 12], [2, 1, 2, 2, 6, 3, 6, 6], [4, 2, 1, 4, 12, 6, 3, 12], [4, 2, 4, 1, 12, 6, 12, 3], [3, 6, 12, 12, 1, 2, 4, 4], [6, 3, 6, 6, 2, 1, 2, 2], [12, 6, 3, 12, 4, 2, 1, 4], [12, 6, 12, 3, 4, 2, 4, 1]], 'lmfdb_iso': '154560.gq', 'trace_hash': 2185769568853830440}
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lmfdb_iso 154560.gq does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1001703
{'Ciso': '154560t', 'Clabel': '154560t8', 'Cnumber': 8, 'abc_quality': 1.0480303025881874, 'absD': 32864587875000000000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -16249537025, 748042877349375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 382205952, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7954527571300341529988055054', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1810117493172631097464564372609, 125368453502655029296875000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -253899016, -1461052982200], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.48.0-12.g.1.7', '24.96.0-24.bu.4.30', '56.24.0-56.bb.1.10', '138.24.0.?', '168.192.1.?', '184.24.0.?', '276.96.0.?', '552.192.1.?', '1288.48.0.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1906747916421977224539093862', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.7557319862901161888729573232', 'prec': 100}, 'szpiro_ratio': 6.875232037004988, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1001701
{'Ciso': '154560t', 'Clabel': '154560t6', 'Cnumber': 6, 'abc_quality': 1.0469264639341715, 'absD': 2406623000334336000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -15969209345, 776726734418943], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 191102976, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4488791668500614982901894446', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1718043013877225552292911401729, 9180538178765625000000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -249518896, -1517075593024], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.48.0-6.a.1.1', '24.96.0-24.o.2.22', '56.24.0-56.a.1.1', '84.96.0.?', '168.192.1.?', '184.24.0.?', '276.96.0.?', '552.192.1.?', '644.24.0.?', '1288.48.0.?', '1932.192.1.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5953373958210988612269546931', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4091583960101435341643412624', 'prec': 100}, 'szpiro_ratio': 6.870862734962488, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1001698
{'Ciso': '154560t', 'Clabel': '154560t3', 'Cnumber': 3, 'abc_quality': 1.0469263838669378, 'absD': 12860088385536000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -15969188865, 776728826315775], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 95551488, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1023055765700888435815733839', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1718036403880129446396978632449, 49057344000000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -249518576, -1517079678720], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.24.0.g.1', '24.96.0-24.bs.2.21', '56.24.0-56.bb.1.5', '84.48.0.?', '168.192.1.?', '184.24.0.?', '276.48.0.?', '322.6.0.?', '552.192.1.?', '644.12.0.?', '966.24.0.?', '1288.48.0.?', '1932.96.1.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1906747916421977224539093862', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0625848057301708794557252017', 'prec': 100}, 'szpiro_ratio': 6.870862412958994, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1001702
{'Ciso': '154560t', 'Clabel': '154560t7', 'Cnumber': 7, 'abc_quality': 1.0477219529306574, 'absD': 32980105831690970155155456000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -15689209345, 805276710418943], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 382205952, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7954527571300341529988055054', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-1629247127728109256861881401729, 125809119536174660320875000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -245143896, -1572836718024], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.48.0-12.g.1.1', '24.96.0-24.bu.2.31', '56.24.0-56.v.1.4', '84.96.0.?', '168.192.1.?', '184.24.0.?', '552.192.1.?', '1288.48.0.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1906747916421977224539093862', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.7557319862901161888729573232', 'prec': 100}, 'szpiro_ratio': 6.876904142218374, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 1001700
{'Ciso': '154560t', 'Clabel': '154560t5', 'Cnumber': 5, 'abc_quality': 1.0367772299224567, 'absD': 12167511408596326809600000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -3028286465, -63923231783937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 127401984, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2461466127959793073011828869', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [11715873038622856702991202049, 46415372499833400000000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -47316976, 124844147456], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.48.0-12.g.1.7', '24.96.0-24.bu.3.30', '56.24.0-56.bb.1.10', '138.24.0.?', '168.192.1.?', '184.24.0.?', '276.96.0.?', '552.192.1.?', '1288.48.0.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5720243749265931673617281587', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2064258419560613431753347047', 'prec': 100}, 'szpiro_ratio': 6.45339909328872, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1001697
{'Ciso': '154560t', 'Clabel': '154560t2', 'Cnumber': 2, 'abc_quality': 1.0814556410768963, 'absD': 1420557541288715023810560000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -281181185, 71684555775], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 63700992, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8995730225160066525925668262', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9378698233516887309850369, 5418996968417034240000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4393456, -140558080], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.48.0-6.a.1.1', '24.96.0-24.o.1.10', '56.24.0-56.a.1.1', '84.96.0.?', '168.192.1.?', '184.24.0.?', '276.96.0.?', '552.192.1.?', '644.24.0.?', '1288.48.0.?', '1932.192.1.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7860121874632965836808640794', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8598522516760886884667186440', 'prec': 100}, 'szpiro_ratio': 5.856641694210145, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1001696
{'Ciso': '154560t', 'Clabel': '154560t1', 'Cnumber': 1, 'abc_quality': 1.0166867803555864, 'absD': 2590056624857753950617600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -197295105, 1063771669503], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 31850496, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5529994322360339978839507654', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [3239908336204082689644289, 9880281924658790400], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3082736, -2078064384], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.24.0.g.1', '24.96.0-24.bs.1.11', '56.24.0-56.bb.1.5', '84.48.0.?', '168.192.1.?', '184.24.0.?', '276.48.0.?', '322.6.0.?', '552.192.1.?', '644.12.0.?', '966.24.0.?', '1288.48.0.?', '1932.96.1.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5720243749265931673617281587', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5132786613961160337581025832', 'prec': 100}, 'szpiro_ratio': 5.76768405295597, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1001699
{'Ciso': '154560t', 'Clabel': '154560t4', 'Cnumber': 4, 'abc_quality': 1.0887159371954385, 'absD': 90963145325872008134236569600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, 1123746815, 574367794175], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 127401984, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2461466127959793073011828869', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [598672364899527954087397631, 346996861747253448998400], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 17558544, -1119617280], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.48.0-12.g.1.1', '24.96.0-24.bu.1.31', '56.24.0-56.v.1.4', '84.96.0.?', '168.192.1.?', '184.24.0.?', '552.192.1.?', '1288.48.0.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5720243749265931673617281587', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2064258419560613431753347047', 'prec': 100}, 'szpiro_ratio': 6.204495398046133, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}