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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, 4, 0, 2, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, -1, -1, -1, 4, 2, 2, -4, -8, 2, 0, -6, -6, 4, 0, 10, -12, -14, 12, -8, 10, 16, 12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 6720, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '6720.j', 'trace_hash': 598821255035325754}
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ec_padic • Show schema
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id: 267718
{'lmfdb_iso': '6720.j', 'p': 11, 'prec': 20, 'unit': 17712247943019171543, 'val': 1}
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id: 267716
{'lmfdb_iso': '6720.j', 'p': 13, 'prec': 20, 'unit': 411445796583697081885, 'val': 1}
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id: 267719
{'lmfdb_iso': '6720.j', 'p': 17, 'prec': 20, 'unit': 183386577307003836542774, 'val': 1}
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id: 267720
{'lmfdb_iso': '6720.j', 'p': 19, 'prec': 20, 'unit': 647506025032637088089878, 'val': 1}
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id: 267723
{'lmfdb_iso': '6720.j', 'p': 23, 'prec': 20, 'unit': 50680313682550883967964696, 'val': 1}
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id: 267715
{'lmfdb_iso': '6720.j', 'p': 29, 'prec': 20, 'unit': 3751689327766138076707486961, 'val': 1}
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id: 267711
{'lmfdb_iso': '6720.j', 'p': 37, 'prec': 20, 'unit': 553096847493136724269884895302, 'val': 1}
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id: 267713
{'lmfdb_iso': '6720.j', 'p': 41, 'prec': 20, 'unit': 1421140495270700047272138934509, 'val': 1}
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id: 267714
{'lmfdb_iso': '6720.j', 'p': 43, 'prec': 20, 'unit': 8696220838285519285344848484436, 'val': 1}
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id: 267721
{'lmfdb_iso': '6720.j', 'p': 53, 'prec': 20, 'unit': 434912507821372112259038740887504, 'val': 1}
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id: 267725
{'lmfdb_iso': '6720.j', 'p': 59, 'prec': 20, 'unit': 2489419704720848762593772109732650, 'val': 1}
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id: 267726
{'lmfdb_iso': '6720.j', 'p': 61, 'prec': 20, 'unit': 6679588063170709920668594681725455, 'val': 1}
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id: 267710
{'lmfdb_iso': '6720.j', 'p': 67, 'prec': 20, 'unit': 12032494705138795381147841350510634, 'val': 1}
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id: 267712
{'lmfdb_iso': '6720.j', 'p': 71, 'prec': 20, 'unit': 97986718524782289251074866671258329, 'val': 1}
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id: 267722
{'lmfdb_iso': '6720.j', 'p': 73, 'prec': 20, 'unit': 170582434640733977609791502532911150, 'val': 1}
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id: 267717
{'lmfdb_iso': '6720.j', 'p': 79, 'prec': 20, 'unit': 604679073339824397499036737513459821, 'val': 1}
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id: 267709
{'lmfdb_iso': '6720.j', 'p': 83, 'prec': 20, 'unit': 2627669934053064529996087996924933322, 'val': 1}
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id: 267724
{'lmfdb_iso': '6720.j', 'p': 89, 'prec': 20, 'unit': 7398375493407897022204541296932952549, 'val': 1}
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id: 267708
{'lmfdb_iso': '6720.j', 'p': 97, 'prec': 20, 'unit': 8900280547862106363750009627323080491, 'val': 1}
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ec_curvedata • Show schema
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id: 42669
{'Ciso': '6720c', 'Clabel': '6720c7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 94411161600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, -1, 0, -122931201, -524574745599], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 393216, 'elladic_images': ['16.96.0.279'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8341501877354810110788864296', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.2', '12.12.0-4.c.1.2', '16.96.0-16.v.2.4', '24.96.0-24.bl.2.1', '48.192.1-48.dq.1.6', '160.192.2.?', '224.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.144624722585375921914213557', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 7.65870967709585, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 42667
{'Ciso': '6720c', 'Clabel': '6720c5', 'Cnumber': 5, 'abc_quality': 1.05504045380176, 'absD': 34002179850240000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -7683201, -8194556799], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 196608, 'elladic_images': ['8.96.0.153'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4875765974555083563702703689', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.l.1.6', '12.24.0-4.b.1.2', '24.192.1-24.ch.1.7', '80.192.2.?', '112.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.072312361292687960957106778', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.714886523832148, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 42670
{'Ciso': '6720c', 'Clabel': '6720c8', 'Cnumber': 8, 'abc_quality': 1.0554678196515268, 'absD': 1306772002685622681600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, -1, 0, -7635201, -8302047999], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 393216, 'elladic_images': ['16.96.0.279'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8341501877354810110788864296', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.2', '12.12.0-4.c.1.1', '16.96.0-16.v.2.4', '24.96.0-24.bp.2.1', '48.192.1-48.eg.1.8', '80.192.2.?', '224.192.1.?', '240.384.5.?', '672.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.144624722585375921914213557', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 6.717842560635323, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 42666
{'Ciso': '6720c', 'Clabel': '6720c4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 31596430963507200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, -1, 0, -964481, 364797825], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 98304, 'elladic_images': ['16.96.0.253'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1410030071755357016616543081', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.7', '16.96.0-16.v.1.11', '28.12.0.h.1', '56.96.0-56.bl.2.2', '80.192.2.?', '96.192.1.?', '112.192.1.?', '480.384.5.?', '560.384.5.?', '672.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2590390451615859951196383473', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 6.008462615321994, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 42665
{'Ciso': '6720c', 'Clabel': '6720c3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 318637670400000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -483201, -126236799], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 98304, 'elladic_images': ['8.96.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1410030071755357016616543081', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.c.1.9', '24.192.1-24.w.2.8', '56.192.1-56.x.1.4', '80.192.2.?', '168.384.5.?', '240.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0361561806463439804785533892', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 5.773184270375805, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 42664
{'Ciso': '6720c', 'Clabel': '6720c2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 13484225986560000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -68481, 4068225], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 49152, 'elladic_images': ['8.96.0.130'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.l.2.3', '28.24.0.c.1', '48.192.1-48.f.2.6', '56.192.1-56.cd.2.7', '80.192.2.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5180780903231719902392766946', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006521', 'prec': 103}, 'szpiro_ratio': 5.108062206643652, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 42663
{'Ciso': '6720c', 'Clabel': '6720c1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 243524645683200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, -1, 0, 13439, 447361], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 24576, 'elladic_images': ['16.96.0.253'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.7', '14.6.0.b.1', '16.96.0-16.v.1.11', '28.12.0.g.1', '56.96.0-56.bh.2.4', '96.192.1.?', '112.192.1.?', '160.192.2.?', '240.192.2.?', '480.384.5.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2590390451615859951196383473', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400451', 'prec': 103}, 'szpiro_ratio': 4.553726336328127, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 42668
{'Ciso': '6720c', 'Clabel': '6720c6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 70560000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, -1, 0, 81279, -404073855], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 6720, 'degree': 196608, 'elladic_images': ['16.96.0.188'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4875765974555083563702703689', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '6720.j', 'lmfdb_label': '6720.j8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.5', '16.96.0-16.j.1.10', '24.96.0-24.be.1.4', '48.192.1-48.bf.2.7', '56.96.0-56.bd.1.7', '84.24.0.?', '112.192.1.?', '160.192.2.?', '168.192.1.?', '336.384.5.?', '480.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5180780903231719902392766946', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.031790794025678, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}