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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 0, 0, 4, -2, -6, -4, -1, -2, 0, -2, -10, -4, 0, -6, -4, 10, -12, 8, -10, -8, 4, -18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 331200, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '331200.jf', 'trace_hash': 1573030258573942161}
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lmfdb_iso 331200.jf does not appear in ec_padic
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ec_curvedata • Show schema
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id: 2074889
{'Ciso': '331200jf', 'Clabel': '331200jf4', 'Cnumber': 4, 'abc_quality': 1.026629656347475, 'absD': 61809868800000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 0, 0, -1589760300, -24397514498000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 56623104, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5467629417435440324919764164', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [148809678420065817601, 20700], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110400, 14109732], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '24.24.0.by.1', '40.24.0-8.n.1.4', '48.48.0.bk.1', '80.48.0.?', '92.12.0.?', '120.48.0.?', '184.24.0.?', '240.96.0.?', '368.48.0.?', '552.48.0.?', '920.48.0.?', '1104.96.1.?', '1840.96.0.?', '2760.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 5.914345004136464, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2074890
{'Ciso': '331200jf', 'Clabel': '331200jf5', 'Cnumber': 5, 'abc_quality': 1.0152769300892501, 'absD': 876882559024880640000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 0, 0, -371952300, 2365109278000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 113246208, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8933365320235166872005924771', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1905890658841300321, 293666194803750], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25830, -1370850], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '20.12.0-4.c.1.2', '24.48.0.bl.2', '40.48.0-8.bb.2.5', '120.96.0.?', '368.48.0.?', '1104.96.1.?', '1840.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '1.4995906606324936900767420098', 'prec': 100}, 'szpiro_ratio': 5.5715003975839625, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2074888
{'Ciso': '331200jf', 'Clabel': '331200jf3', 'Cnumber': 3, 'abc_quality': 0.998081495923215, 'absD': 11750635526400000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -101952300, -360270722000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 56623104, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5467629417435440324919764164', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4], 'jinv': [39248884582600321, 3935264062500], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7080, 207900], 'min_quad_twist_disc': -120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '20.24.0-4.b.1.2', '24.48.0.m.2', '40.48.0-8.e.1.16', '120.96.0.?', '184.48.0.?', '552.96.1.?', '920.96.0.?', '2760.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 5.26602158070632, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 2074887
{'Ciso': '331200jf', 'Clabel': '331200jf2', 'Cnumber': 2, 'abc_quality': 0.9952642288505263, 'absD': 1279464284160000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -99360300, -381208898000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 28311552, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2001893514635713777833603557', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4], 'jinv': [36330796409313601, 428490000], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6900, 220032], 'min_quad_twist_disc': -120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0.r.2', '40.48.0-8.e.2.7', '92.24.0.?', '120.96.0.?', '184.48.0.?', '552.96.1.?', '920.96.0.?', '2760.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80644348007254838065950988844', 'prec': 103}, 'szpiro_ratio': 5.25994334668279, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 2074886
{'Ciso': '331200jf', 'Clabel': '331200jf1', 'Cnumber': 1, 'abc_quality': 0.9526154777090129, 'absD': 2883801238732800000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 0, 0, -6048300, -6281282000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 14155776, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8536157611835987230747442949', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-8194759433281, 965779200], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -420, 3600], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '46.6.0.a.1', '48.48.0.bp.1', '80.48.0.?', '92.12.0.?', '120.48.0.?', '184.48.0.?', '240.96.0.?', '1104.96.1.?', '1840.96.0.?', '2760.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.45986988979257572595089382764', 'prec': 103}, 'szpiro_ratio': 4.613896250662455, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2074891
{'Ciso': '331200jf', 'Clabel': '331200jf6', 'Cnumber': 6, 'abc_quality': 1.2038496011168551, 'absD': 1446153750000000000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 0, 0, 126575700, -1745607458000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 331200, 'degree': 113246208, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8933365320235166872005924771', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75108181893694559, 484313964843750], 'lmfdb_iso': '331200.jf', 'lmfdb_label': '331200.jf6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 8790, 1010922], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.2', '20.12.0-4.c.1.1', '24.24.0.bn.1', '40.24.0-8.n.1.10', '48.48.0.ba.2', '80.48.0.?', '120.48.0.?', '184.24.0.?', '240.96.0.?', '368.48.0.?', '552.48.0.?', '920.48.0.?', '1104.96.1.?', '1840.96.0.?', '2760.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '1.4995906606324936900767420098', 'prec': 100}, 'szpiro_ratio': 5.499352158758073, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}