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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, 2, -1, 0, 1, -1, 0, 8, 1], 'aplist': [-1, 0, 1, 1, -1, 2, -1, 8, 0, 6, -4, 2, 6, 8, 0, 6, 0, 2, -4, 0, 14, 8, -12, 6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 117810, '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': '117810.bu', 'trace_hash': 2087556311702712643}
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lmfdb_iso 117810.bu does not appear in ec_padic
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ec_curvedata • Show schema
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id: 770469
{'Ciso': '117810bt', 'Clabel': '117810bt8', 'Cnumber': 8, 'abc_quality': 1.0590401557467235, 'absD': 216137668462687125000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -12000198000204, 16000399002091373928], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 1783627776, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.5729192544360131996388956232', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [262156976355489363181342849900999019467969, 296485141924125000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1333355333356, -592607370447828664], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '24.96.0-24.bu.2.26', '88.12.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '4488.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, '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': '5.0236131101019583539412730047', 'prec': 100}, 'szpiro_ratio': 8.731946040507783, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 770467
{'Ciso': '117810bt', 'Clabel': '117810bt6', 'Cnumber': 6, 'abc_quality': 1.0472855718744882, 'absD': 49619199893070881390625000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -750012375204, 250006374900998928], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 891813888, 'elladic_images': ['2.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.2263456641560405449302795625', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [64003168104546012500462338813649467969, 68064746081030015625000000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -83334708356, -9259495366703664], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '24.96.0-24.o.2.27', '44.12.0-2.a.1.1', '132.96.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '2244.192.1.?', '4488.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 10, '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': '4.6770395198219856992326569440', 'prec': 100}, 'szpiro_ratio': 8.019615101385764, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6]}
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id: 770468
{'Ciso': '117810bt', 'Clabel': '117810bt7', 'Cnumber': 7, 'abc_quality': 1.088348993027461, 'absD': 48117175602595083539975212687125000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -749826750204, 250136310210623928], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 1783627776, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.5729192544360131996388956232', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-63955658296770964115513956628279467969, 66004356107812185925891924125000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -83314083356, -9264307785578664], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '24.96.0-24.bu.4.20', '44.12.0-4.c.1.1', '132.96.0.?', '136.12.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '4488.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, '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': '5.0236131101019583539412730047', 'prec': 100}, 'szpiro_ratio': 8.019704096892198, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 770466
{'Ciso': '117810bt', 'Clabel': '117810bt5', 'Cnumber': 5, 'abc_quality': 1.0394543125143298, 'absD': 3746688787706132273478545318400, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -148150963044, 21948338798341200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 594542592, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0236131101019583539412730048', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [493298302018650738343048153196947009, 5139490792463830279120089600], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16461218116, -812901436975600], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '24.96.0-24.bu.1.22', '88.12.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '4488.384.5.?'], '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': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4743069657679035082436503863', 'prec': 100}, 'szpiro_ratio': 7.6029288562147475, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 770464
{'Ciso': '117810bt', 'Clabel': '117810bt3', 'Cnumber': 3, 'abc_quality': 1.0334056560796774, 'absD': 11746775849853515625000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -46887375204, 3904328025998928], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 445906944, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8797720738760678902216635018', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [15637378471582822120727563649467969, 16113547119140625000000000000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5209708356, -144604741703664], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '24.96.0-24.bs.2.8', '44.12.0-4.c.1.2', '132.96.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1122.48.0.?', '1496.24.0.?', '2244.192.1.?', '4488.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 5, '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': '4.3304659295420130445240408833', 'prec': 100}, 'szpiro_ratio': 7.307347741802396, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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id: 770463
{'Ciso': '117810bt', 'Clabel': '117810bt2', 'Cnumber': 2, 'abc_quality': 1.02544385223096, 'absD': 8939573412819921756449832960000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -9486451044, 325244393182800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 297271296, 'elladic_images': ['2.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6770395198219856992326569440', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [129511249478743944259581330835009, 12262789317997149185802240000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1054050116, -12046088636400], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs', '3B.1.2'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.1', '6.48.0-6.a.1.2', '24.96.0-24.o.1.31', '44.12.0-2.a.1.1', '132.96.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '2244.192.1.?', '4488.384.5.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.1277333754879308535350343255', 'prec': 100}, 'szpiro_ratio': 6.896820888265907, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 770462
{'Ciso': '117810bt', 'Clabel': '117810bt1', 'Cnumber': 1, 'abc_quality': 1.0169741511135044, 'absD': 169298094766062934425600000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -2113651044, -31733311777200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 148635648, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3304659295420130445240408833', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1432504679512464302827718035009, 232233326153721446400000000], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -234850116, 1175307843600], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '24.96.0-24.bs.1.20', '44.12.0-4.c.1.2', '132.96.0.?', '136.12.0.?', '204.96.0.?', '264.192.1.?', '408.192.1.?', '1122.48.0.?', '1496.24.0.?', '2244.192.1.?', '4488.384.5.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.7811597852079581988264182648', 'prec': 100}, 'szpiro_ratio': 6.511070311022516, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 770465
{'Ciso': '117810bt', 'Clabel': '117810bt4', 'Cnumber': 4, 'abc_quality': 1.0424306189339752, 'absD': 1126291208764856155990328127398400, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4488, 'ainvs': [1, -1, 0, 11213260956, 1548634631864400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 117810, 'degree': 594542592, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0236131101019583539412730048', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [213890734289719241265598586476991, 1544981081981970035652027609600], 'lmfdb_iso': '117810.bu', 'lmfdb_label': '117810.bu8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1245917884, -57356838217200], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '24.96.0-24.bu.3.12', '44.12.0-4.c.1.1', '132.96.0.?', '136.12.0.?', '264.192.1.?', '408.192.1.?', '1496.24.0.?', '4488.384.5.?'], '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': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4743069657679035082436503863', 'prec': 100}, 'szpiro_ratio': 7.148811830517091, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}