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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, -1, 0, 0, 2, -6, 8, 0, 6, 4, 10, -6, 4, 0, -6, 12, -10, 4, -12, 10, 8, -12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 141120, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '141120.eg', 'trace_hash': 1678633932915663668}
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lmfdb_iso 141120.eg does not appear in ec_padic
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ec_curvedata • Show schema
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id: 917919
{'Ciso': '141120lz', 'Clabel': '141120lz8', 'Cnumber': 8, 'abc_quality': 1.0633272403824712, 'absD': 925403326804131840000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -9913186668, -379898903267408], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 84934656, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0642469960120781430529033773', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [4791901410190533590281, 41160000], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -351233, -80149132], 'min_quad_twist_disc': 168, '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.1.3', '12.48.0.c.4', '24.96.0-12.c.4.15', '40.24.0-40.ba.1.14', '42.24.0.c.1', '84.96.1.?', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '59.514128566452819974978164656', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562049', 'prec': 100}, 'szpiro_ratio': 6.802944177653413, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 917917
{'Ciso': '141120lz', 'Clabel': '141120lz6', 'Cnumber': 6, 'abc_quality': 1.0396558118857293, 'absD': 2437734459600516258201600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -619587948, -5935643093072], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 42467328, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7176734057321054883442873166', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1169975873419524361, 108425318400], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21953, -1253644], 'min_quad_twist_disc': 168, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.48.0.a.2', '20.12.0.a.1', '24.96.0-12.a.2.2', '40.24.0-20.a.1.4', '60.96.1.e.2', '84.96.1.?', '120.192.1.?', '168.192.1.?', '420.192.5.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '29.757064283226409987489082328', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1556914160304760259681401442', 'prec': 100}, 'szpiro_ratio': 6.101464647673125, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 917918
{'Ciso': '141120lz', 'Clabel': '141120lz7', 'Cnumber': 7, 'abc_quality': 1.0450039140149439, 'absD': 8066166227930844485470126080, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -574429548, -6837564721232], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 84934656, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0642469960120781430529033773', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-932348627918877961, 358766164249920], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20353, -1443724], 'min_quad_twist_disc': 168, '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.1.2', '12.48.0.c.2', '20.12.0.h.1', '24.96.0-12.c.2.5', '40.24.0-20.h.1.6', '60.96.1.m.2', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '59.514128566452819974978164656', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562049', 'prec': 100}, 'szpiro_ratio': 6.125310783593861, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 917916
{'Ciso': '141120lz', 'Clabel': '141120lz5', 'Cnumber': 5, 'abc_quality': 1.0221395366994406, 'absD': 4149707998464000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -122986668, -515740787408], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 28311552, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5149408516780232973552807589', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [9150443179640281, 184570312500], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4358, -109132], 'min_quad_twist_disc': 168, '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.1.3', '12.48.0.c.3', '24.96.0-12.c.3.9', '40.24.0-40.ba.1.14', '42.24.0.c.1', '84.96.1.?', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.838042855484273324992721552', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 2, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95295886197639383497913358653', 'prec': 103}, 'szpiro_ratio': 5.692357250111239, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 917914
{'Ciso': '141120lz', 'Clabel': '141120lz3', 'Cnumber': 3, 'abc_quality': 1.0154697965758581, 'absD': 1940711437613938696519680, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -41560428, -78374627408], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 21233664, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3710998154521328336356712559', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [353108405631241, 86318776320], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1473, -16652], 'min_quad_twist_disc': 168, '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.1.4', '12.24.0.g.1', '24.96.0-24.bt.2.23', '40.24.0-40.ba.1.6', '60.48.0.c.1', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.878532141613204993744541164', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80911782575050337125952408353', 'prec': 103}, 'szpiro_ratio': 5.41786268534197, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 917913
{'Ciso': '141120lz', 'Clabel': '141120lz2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 200779471797682176000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -16299948, 13297319728], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 14155776, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1683672613980506426466646981', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': 168, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.48.0.a.1', '20.12.0.a.1', '24.96.0-12.a.1.2', '40.24.0-20.a.1.4', '60.96.1.e.4', '84.96.1.?', '120.192.1.?', '168.192.1.?', '420.192.5.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.9190214277421366624963607761', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 2, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752573', 'prec': 103}, 'szpiro_ratio': 5.1810512660734425, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 917912
{'Ciso': '141120lz', 'Clabel': '141120lz1', 'Cnumber': 1, 'abc_quality': 0.9899732793274963, 'absD': 135977631693668352000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -14042028, 20245391152], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 7077888, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8217936711180779879380486374', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13619385906841, 6048000], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -498, 4228], 'min_quad_twist_disc': 168, '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.1.4', '12.24.0.g.1', '24.96.0-24.bt.1.12', '40.24.0-40.ba.1.6', '60.48.0.c.2', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9595107138710683312481803880', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 2, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25981168141644852556190146503', 'prec': 103}, 'szpiro_ratio': 5.1433260866453, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 917915
{'Ciso': '141120lz', 'Clabel': '141120lz4', 'Cnumber': 4, 'abc_quality': 1.0347196629545203, 'absD': 14344087024170010017792000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, 54260052, 97658855728], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 28311552, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5149408516780232973552807589', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [785793873833639, 637994920500], 'lmfdb_iso': '141120.eg', 'lmfdb_label': '141120.eg8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1922, 20756], 'min_quad_twist_disc': 168, '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.1.2', '12.48.0.c.1', '20.12.0.h.1', '24.96.0-12.c.1.8', '40.24.0-20.h.1.6', '60.96.1.m.4', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.838042855484273324992721552', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 2, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95295886197639383497913358653', 'prec': 103}, 'szpiro_ratio': 5.485324498682131, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
