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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, -1, -1, 0, 2, 6, -8, 8, -6, -4, -2, 6, 4, 8, 1, 12, 14, 12, 12, 14, 0, 12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 133560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '133560.f', 'trace_hash': 422244924130479680}
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lmfdb_iso 133560.f does not appear in ec_padic
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ec_curvedata • Show schema
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id: 869761
{'Ciso': '133560l', 'Clabel': '133560l3', 'Cnumber': 3, 'abc_quality': 1.0679544543327613, 'absD': 2223470063263955600707200000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -9209071443, 340143532027742], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 133560, 'degree': 177766400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3543359033011435120764731132', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [115702769301750288368222218564, 2978542501586017340625], 'lmfdb_iso': '133560.f', 'lmfdb_label': '133560.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1023230160, -12597567516900], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '28.12.0-4.c.1.1', '40.12.0.ba.1', '60.12.0-4.c.1.1', '120.24.0.?', '168.24.0.?', '210.6.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 14840], [5, 6, 26712], [7, 8, 19080], [53, 54, 2520]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2274071085004675751978237269', 'prec': 100}, 'szpiro_ratio': 6.815953337971469, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 869760
{'Ciso': '133560l', 'Clabel': '133560l2', 'Cnumber': 2, 'abc_quality': 1.0066581776782408, 'absD': 3370269743230392922500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 420, 'ainvs': [0, 0, 0, -597758943, 4882746990242], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 133560, 'degree': 88883200, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0077623130211708573678570524', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [126571074009076580447874256, 18059144285999619140625], 'lmfdb_iso': '133560.f', 'lmfdb_label': '133560.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -66417660, -180820341900], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.a.1', '28.12.0-2.a.1.1', '60.24.0-20.a.1.2', '84.24.0.?', '140.24.0.?', '420.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 14840], [5, 6, 26712], [7, 8, 19080], [53, 54, 2520]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9963580483138191387254130196', 'prec': 100}, 'szpiro_ratio': 6.120812054262924, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 869759
{'Ciso': '133560l', 'Clabel': '133560l1', 'Cnumber': 1, 'abc_quality': 1.0198257562077644, 'absD': 47835042036437988281250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -158305818, -690661212883], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 133560, 'degree': 44441600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6611887227411982026592409917', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [37615499197072174665988096, 4101083850860595703125], 'lmfdb_iso': '133560.f', 'lmfdb_label': '133560.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17589535, 25585908100], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '28.12.0-4.c.1.2', '40.12.0.ba.1', '42.6.0.a.1', '84.24.0.?', '120.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 14840], [5, 6, 26712], [7, 8, 19080], [53, 54, 2520]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8808335182204949204892076661', 'prec': 100}, 'szpiro_ratio': 5.783083434738115, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 869762
{'Ciso': '133560l', 'Clabel': '133560l4', 'Cnumber': 4, 'abc_quality': 1.0248354388681669, 'absD': 359928749919572815880707200000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, 982303557, 26320086952742], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 133560, 'degree': 177766400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3543359033011435120764731132', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [140421425391704081123281436, 482157640388659572028125], 'lmfdb_iso': '133560.f', 'lmfdb_label': '133560.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 109144840, -974854416900], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '20.12.0.h.1', '56.12.0-4.c.1.5', '60.24.0-20.h.1.1', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 14840], [5, 6, 26712], [7, 8, 19080], [53, 54, 2520]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2274071085004675751978237269', 'prec': 100}, 'szpiro_ratio': 6.382299525992296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
