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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 1, 1, 0, -1, 1, -1, 1, -1, -1, 0, -1, 1, 6, -1, 4, 1], 'aplist': [-1, -1, 1, 0, 1, -1, 6, 4, 0, -6, -8, -10, 6, -4, 0, 6, -12, 10, 8, 12, -14, 8, 0, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 210210, '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': '210210.bd', 'trace_hash': 1041221273729121881}
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lmfdb_iso 210210.bd does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1346694
{'Ciso': '210210ev', 'Clabel': '210210ev7', 'Cnumber': 7, 'abc_quality': 1.0130551257130733, 'absD': 471420025748587113555357000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -5181876102, 143568983020716], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 286654464, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2155834514720952860259131871', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [130796627670002750950880364889, 4007004103295286093000], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -105752574, -418583571128], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '84.48.0.?', '88.12.0.?', '120.48.0.?', '156.48.0.?', '264.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1848.96.0.?', '3080.24.0.?', '3432.96.0.?', '3640.24.0.?', '5720.24.0.?', '8008.24.0.?', '9240.192.1.?', '10920.192.1.?', '17160.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2426283769444386334732368154', 'prec': 100}, 'szpiro_ratio': 6.422959076252257, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1346693
{'Ciso': '210210ev', 'Clabel': '210210ev6', 'Cnumber': 6, 'abc_quality': 0.9941380459135555, 'absD': 654797455656675139809000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -337491102, 2044150753716], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 143327232, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8690098611921226313172971264', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [36134533748915083453404889, 5565686539253841000000], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6887574, -5960607128], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '21.8.0-3.a.1.2', '42.48.0-6.a.1.2', '44.12.0-2.a.1.1', '120.48.0.?', '132.48.0.?', '156.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '924.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1716.96.0.?', '3080.24.0.?', '3640.24.0.?', '4004.24.0.?', '5720.24.0.?', '9240.192.1.?', '10920.192.1.?', '12012.192.1.?', '17160.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8960547866644659787646207547', 'prec': 100}, 'szpiro_ratio': 5.754368837032073, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1346691
{'Ciso': '210210ev', 'Clabel': '210210ev4', 'Cnumber': 4, 'abc_quality': 1.0019367919960929, 'absD': 84016290514826302496193330, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -113381517, -146515113261], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 95551488, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6662773071380404403282905686', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1370131553911340548947529, 714126686285699857170], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2313909, 426827206], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '84.48.0.?', '88.12.0.?', '120.48.0.?', '156.48.0.?', '264.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1848.96.0.?', '3080.24.0.?', '3432.96.0.?', '3640.24.0.?', '5720.24.0.?', '8008.24.0.?', '9240.192.1.?', '10920.192.1.?', '17160.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6933222326103837877756141969', 'prec': 100}, 'szpiro_ratio': 5.487366631976494, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1346690
{'Ciso': '210210ev', 'Clabel': '210210ev3', 'Cnumber': 3, 'abc_quality': 0.9811892024353367, 'absD': 8777030583321000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -92491102, -311328246284], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 71663616, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5224362709121499766086810656', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [743764321292317933404889, 74603529000000000000], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1887574, 907392872], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '44.12.0-4.c.1.2', '84.48.0.?', '120.48.0.?', '132.48.0.?', '156.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '858.24.0.?', '924.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1716.96.0.?', '2002.6.0.?', '3080.24.0.?', '3640.24.0.?', '4004.24.0.?', '5720.24.0.?', '6006.48.0.?', '9240.192.1.?', '10920.192.1.?', '12012.192.1.?', '17160.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5494811963844933240560046939', 'prec': 100}, 'szpiro_ratio': 5.437518011674091, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1346689
{'Ciso': '210210ev', 'Clabel': '210210ev2', 'Cnumber': 2, 'abc_quality': 0.9792914544790772, 'absD': 91723832444024877996900, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -90162867, -329241245031], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 47775744, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3197037168580677856196745079', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [688999042618248810121129, 779639711718968100], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1840059, 959624146], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '21.8.0-3.a.1.1', '42.48.0-6.a.1.1', '44.12.0-2.a.1.1', '120.48.0.?', '132.48.0.?', '156.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '924.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1716.96.0.?', '3080.24.0.?', '3640.24.0.?', '4004.24.0.?', '5720.24.0.?', '9240.192.1.?', '10920.192.1.?', '12012.192.1.?', '17160.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3467486423304111330669981362', 'prec': 100}, 'szpiro_ratio': 5.431277379332634, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1346688
{'Ciso': '210210ev', 'Clabel': '210210ev1', 'Cnumber': 1, 'abc_quality': 0.9792716811399312, 'absD': 103880783416410000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -90138367, -329429253131], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 23887872, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9731301265780951309110584472', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [688437529087783927489129, 882972090000], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1839559, 960172346], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '44.12.0-4.c.1.2', '84.48.0.?', '120.48.0.?', '132.48.0.?', '156.48.0.?', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.96.0.?', '858.24.0.?', '924.96.0.?', '1092.96.0.?', '1320.96.0.?', '1560.96.1.?', '1716.96.0.?', '2002.6.0.?', '3080.24.0.?', '3640.24.0.?', '4004.24.0.?', '5720.24.0.?', '6006.48.0.?', '9240.192.1.?', '10920.192.1.?', '12012.192.1.?', '17160.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0001750520504384783583820755', 'prec': 100}, 'szpiro_ratio': 5.431210855882881, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1346692
{'Ciso': '210210ev', 'Clabel': '210210ev5', 'Cnumber': 5, 'abc_quality': 0.9919358401725701, 'absD': 88419459967828370255404530, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, -67336217, -499934368401], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 95551488, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6662773071380404403282905686', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-286999819333751016766729, 751553009101890965970], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1374209, 1457338286], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '44.12.0-4.c.1.1', '84.48.0.?', '120.48.0.?', '132.48.0.?', '280.12.0.?', '312.48.0.?', '520.12.0.?', '728.12.0.?', '840.96.0.?', '924.96.0.?', '1320.96.0.?', '1560.96.1.?', '2184.96.0.?', '3080.24.0.?', '3432.96.0.?', '3640.24.0.?', '5720.24.0.?', '8008.24.0.?', '9240.192.1.?', '10920.192.1.?', '17160.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, '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': '2.6933222326103837877756141969', 'prec': 100}, 'szpiro_ratio': 5.499288170415666, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1346695
{'Ciso': '210210ev', 'Clabel': '210210ev8', 'Cnumber': 8, 'abc_quality': 1.0115411481338452, 'absD': 67852415166551809824387357000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 1, 0, 586893898, 11274874486716], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 210210, 'degree': 286654464, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2155834514720952860259131871', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [190026536708029086053555111, 576736012771479654093000], 'lmfdb_iso': '210210.bd', 'lmfdb_label': '210210.bd8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 11977426, -32869643128], 'min_quad_twist_disc': -7, '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', '12.24.0.g.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '44.12.0-4.c.1.1', '84.48.0.?', '120.48.0.?', '132.48.0.?', '280.12.0.?', '312.48.0.?', '520.12.0.?', '728.12.0.?', '840.96.0.?', '924.96.0.?', '1320.96.0.?', '1560.96.1.?', '2184.96.0.?', '3080.24.0.?', '3432.96.0.?', '3640.24.0.?', '5720.24.0.?', '8008.24.0.?', '9240.192.1.?', '10920.192.1.?', '17160.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, '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': '3.2426283769444386334732368154', 'prec': 100}, 'szpiro_ratio': 6.007761513252813, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}