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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, -1, -1, 2, 6, 4, 0, 6, 4, 2, 6, 4, 0, 6, 12, 14, 16, 0, 2, 4, 0, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 55440, 'isogeny_matrix': [[1, 2, 3, 4, 6, 12, 12, 4], [2, 1, 6, 2, 3, 6, 6, 2], [3, 6, 1, 12, 2, 4, 4, 12], [4, 2, 12, 1, 6, 3, 12, 4], [6, 3, 2, 6, 1, 2, 2, 6], [12, 6, 4, 3, 2, 1, 4, 12], [12, 6, 4, 12, 2, 4, 1, 3], [4, 2, 12, 4, 6, 12, 3, 1]], 'lmfdb_iso': '55440.df', 'trace_hash': 1196361432663629054}
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lmfdb_iso 55440.df does not appear in ec_padic
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ec_curvedata • Show schema
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id: 367979
{'Ciso': '55440dx', 'Clabel': '55440dx8', 'Cnumber': 8, 'abc_quality': 1.0452427382284861, 'absD': 22816216152576000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -3667390347, -85483491145414], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 31850496, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0746943449388938807373490524', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1826870018430810435423307849, 7641104625000000000], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -25467989, -49471735264], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.8', '24.96.0-24.bu.2.10', '40.12.0.y.1', '120.192.1.?', '616.12.0.?', '924.96.0.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8322410200448937256224943125', 'prec': 100}, 'szpiro_ratio': 7.1117310972087555, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 367977
{'Ciso': '55440dx', 'Clabel': '55440dx6', 'Cnumber': 6, 'abc_quality': 1.0262644607334475, 'absD': 85997263942714392576000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -232771467, -1292052387526], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 15925248, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7281207546589212260287329916', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [467116778179943012100169, 28800309694464000000], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1616469, -747850208], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0-6.a.1.2', '24.96.0-24.o.2.19', '40.12.0.b.1', '60.96.0-60.a.1.6', '120.192.1.?', '616.12.0.?', '924.96.0.?', '1540.12.0.?', '1848.192.1.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4856674297649210709138782517', 'prec': 100}, 'szpiro_ratio': 6.3544764496750705, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 367976
{'Ciso': '55440dx', 'Clabel': '55440dx5', 'Cnumber': 5, 'abc_quality': 1.0656902431070385, 'absD': 15909421903730906664960000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -63039387, -16916163766], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 10616832, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5253882006048390350397264339', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [9278380528613437145689, 5328033205714065000], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -437774, -9825928], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.4', '24.96.0-24.bu.1.6', '40.12.0.y.1', '120.192.1.?', '616.12.0.?', '924.96.0.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2829348757108388799248716940', 'prec': 100}, 'szpiro_ratio': 5.9957039559908525, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 367974
{'Ciso': '55440dx', 'Clabel': '55440dx3', 'Cnumber': 3, 'abc_quality': 1.015510029131527, 'absD': 2150779746365560848384000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -44027787, 87550667066], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 7962624, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3815471643789485713201169309', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [3160944030998056790089, 720291785342976000], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -305749, 50640416], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.8', '24.96.0-24.bs.2.4', '40.12.0.y.1', '60.96.0-60.c.1.12', '120.192.1.?', '616.12.0.?', '770.6.0.?', '924.96.0.?', '1540.12.0.?', '1848.192.1.?', '2310.24.0.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1390938394849484162052621910', 'prec': 100}, 'szpiro_ratio': 5.897121999612685, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 367973
{'Ciso': '55440dx', 'Clabel': '55440dx2', 'Cnumber': 2, 'abc_quality': 1.0097875690550715, 'absD': 36143992709799483801600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -41306907, 101773602506], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 5308416, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1788146103248663803311103732', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2610383204210122997209, 12104550027662400], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -286854, 58872856], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0-6.a.1.7', '24.96.0-24.o.1.27', '40.12.0.b.1', '60.96.0-60.a.2.10', '120.192.1.?', '616.12.0.?', '924.96.0.?', '1540.12.0.?', '1848.192.1.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9363612854308662252162556333', 'prec': 100}, 'szpiro_ratio': 5.879601840073886, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 367972
{'Ciso': '55440dx', 'Clabel': '55440dx1', 'Cnumber': 1, 'abc_quality': 1.0096935276926557, 'absD': 168202234956349440, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -41260827, 102012877514], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8322410200448937256224943125', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2601656892010848045529, 56330588160], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -286534, 59011352], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.4', '24.96.0-24.bs.1.18', '40.12.0.y.1', '60.96.0-60.c.2.11', '120.192.1.?', '616.12.0.?', '770.6.0.?', '924.96.0.?', '1540.12.0.?', '1848.192.1.?', '2310.24.0.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5897876951508935705076395726', 'prec': 100}, 'szpiro_ratio': 5.879295284501718, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 367975
{'Ciso': '55440dx', 'Clabel': '55440dx4', 'Cnumber': 4, 'abc_quality': 1.0385188951399564, 'absD': 17645022510155663094743040, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -20311707, 205149768266], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 10616832, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5253882006048390350397264339', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-310366976336070130009, 5909282337130963560], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -141054, 118709176], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.4', '24.96.0-24.bu.3.11', '40.12.0.s.1', '60.96.0-60.c.4.11', '120.192.1.?', '616.12.0.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2829348757108388799248716940', 'prec': 100}, 'szpiro_ratio': 6.0072157446005106, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 367978
{'Ciso': '55440dx', 'Clabel': '55440dx7', 'Cnumber': 7, 'abc_quality': 1.055037962862197, 'absD': 12960278726516204078628864000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, 181948533, -5395209123526], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 31850496, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0746943449388938807373490524', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [223090928422700449019831, 4340371122724101696000], 'lmfdb_iso': '55440.df', 'lmfdb_label': '55440.df8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1263531, -3122122208], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.8', '24.96.0-24.bu.4.19', '40.12.0.s.1', '60.96.0-60.c.3.14', '120.192.1.?', '616.12.0.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8322410200448937256224943125', 'prec': 100}, 'szpiro_ratio': 6.605862526302714, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}