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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 0, -1, -1, 2, 2, 4, 0, 2, -8, 10, 6, 4, 0, -2, 12, 14, -12, 0, 6, -16, -4, 14, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 138600, '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': '138600.x', 'trace_hash': 720759704439598791}
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lmfdb_iso 138600.x does not appear in ec_padic
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ec_curvedata • Show schema
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id: 901451
{'Ciso': '138600ca', 'Clabel': '138600ca5', 'Cnumber': 5, 'abc_quality': 1.00153318314077, 'absD': 7365772260000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -462006075, 3822254869750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3701122674894397564820961649', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [467508233804095622882, 315748125], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2053360, -1131835508], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.g.1', '56.24.0.bu.2', '60.12.0-4.c.1.1', '80.24.0.?', '88.24.0.?', '120.24.0.?', '240.48.0.?', '336.48.0.?', '528.48.0.?', '560.48.0.?', '616.48.0.?', '840.48.0.?', '880.48.0.?', '1320.48.0.?', '1680.96.0.?', '2640.96.0.?', '3696.96.1.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.905957275994613835595570221', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 6.036385842894797, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 901449
{'Ciso': '138600ca', 'Clabel': '138600ca3', 'Cnumber': 3, 'abc_quality': 0.9670732682705956, 'absD': 2188134506250000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -28881075, 59697994750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 9437184, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0235386772094671017734801042', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [228410605013945764, 187597265625], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128360, -17645508], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.m.1', '40.24.0-4.b.1.5', '56.24.0.h.2', '60.24.0-4.b.1.1', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4529786379973069177977851103', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510512', 'prec': 100}, 'szpiro_ratio': 5.333883056623288, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 901452
{'Ciso': '138600ca', 'Clabel': '138600ca6', 'Cnumber': 6, 'abc_quality': 0.9823979141579505, 'absD': 2466782226562500000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -22644075, 86199007750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3701122674894397564820961649', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-55043996611705922, 105743408203125], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -100640, -25506900], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.g.1', '60.12.0-4.c.1.1', '80.24.0.?', '112.24.0.?', '120.24.0.?', '168.24.0.?', '176.24.0.?', '240.48.0.?', '264.24.0.?', '280.24.0.?', '336.48.0.?', '440.24.0.?', '528.48.0.?', '560.48.0.?', '616.24.0.?', '840.48.0.?', '880.48.0.?', '1232.48.0.?', '1320.48.0.?', '1680.96.0.?', '1848.48.0.?', '2640.96.0.?', '3080.48.0.?', '3696.96.1.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.905957275994613835595570221', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 5.395820611661239, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 901450
{'Ciso': '138600ca', 'Clabel': '138600ca4', 'Cnumber': 4, 'abc_quality': 0.9608384335507779, 'absD': 9188536305841200000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -18738075, -30877672250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 9437184, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0235386772094671017734801042', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62380825826921284, 787768887675], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -83280, 9176700], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '20.12.0-4.c.1.1', '24.24.0.bl.1', '40.24.0-8.n.1.10', '56.24.0.bu.1', '60.24.0-12.h.1.1', '120.48.0.?', '168.48.0.?', '176.24.0.?', '280.48.0.?', '528.48.0.?', '840.96.0.?', '880.48.0.?', '1232.48.0.?', '2640.96.0.?', '3696.96.1.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4529786379973069177977851103', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510512', 'prec': 100}, 'szpiro_ratio': 5.224258183002402, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 901448
{'Ciso': '138600ca', 'Clabel': '138600ca2', 'Cnumber': 2, 'abc_quality': 0.9487204231083621, 'absD': 576597755002500000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -2200575, 493965250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 4718592, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6769650869294944470648640435', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [404151985581136, 197735855625], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9780, -143100], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '12.24.0.c.1', '20.24.0-4.b.1.2', '56.24.0.h.1', '60.48.0-12.c.1.2', '88.24.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2264893189986534588988925551', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86084186600509254112204034412', 'prec': 103}, 'szpiro_ratio': 4.681532610198496, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 901447
{'Ciso': '138600ca', 'Clabel': '138600ca1', 'Cnumber': 1, 'abc_quality': 0.9672385213274213, 'absD': 9534512463918750000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, 500550, 59084125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 2359296, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3303914966495217923562479828', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [76102438406144, 52315569075], 'lmfdb_iso': '138600.x', 'lmfdb_label': '138600.x6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2225, -18248], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '20.12.0-4.c.1.2', '24.24.0.bh.1', '40.24.0-8.n.1.12', '60.24.0-12.g.1.2', '88.24.0.?', '112.24.0.?', '120.48.0.?', '264.48.0.?', '336.48.0.?', '440.48.0.?', '560.48.0.?', '1232.48.0.?', '1320.96.0.?', '1680.96.0.?', '3696.96.1.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4529786379973069177977851103', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74531733591176832288583499057', 'prec': 103}, 'szpiro_ratio': 4.306317719742718, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}