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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 2, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, 1, -1, 0, 4, 2, 2, 0, -4, -2, -8, -10, -2, -4, -4, -10, 4, -2, -4, 0, 6, 8, -4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 47040, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '47040.fj', 'trace_hash': 1701032369537920915}
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lmfdb_iso 47040.fj does not appear in ec_padic
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ec_curvedata • Show schema
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id: 313138
{'Ciso': '47040ge', 'Clabel': '47040ge4', 'Cnumber': 4, 'abc_quality': 1.0208740541285148, 'absD': 12548716987355136000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -12852961, 17730783839], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47040, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7320897857148304273862010078', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 4], 'jinv': [60910917333827912, 3255076125], 'lmfdb_iso': '47040.fj', 'lmfdb_label': '47040.fj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -65576, 6485076], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0-4.c.1.1', '40.12.0.v.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], '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': '0.89270073548724213806198448425', 'prec': 103}, 'szpiro_ratio': 5.643856136013269, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 313136
{'Ciso': '47040ge', 'Clabel': '47040ge2', 'Cnumber': 2, 'abc_quality': 1.035752418839084, 'absD': 13179165217344000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -847961, 244300839], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47040, 'degree': 884736, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3855161954348577726775849471', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2], 'jinv': [139927692143296, 27348890625], 'lmfdb_iso': '47040.fj', 'lmfdb_label': '47040.fj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4326, 90576], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '28.12.0-2.a.1.1', '40.12.0.a.1', '60.12.0.a.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], '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': '0.71941394034725581070767645392', 'prec': 103}, 'szpiro_ratio': 4.885823769272105, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 313135
{'Ciso': '47040ge', 'Clabel': '47040ge1', 'Cnumber': 1, 'abc_quality': 1.033703593665569, 'absD': 146496183735384000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -259716, -47586330], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47040, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0389426051548851179689688864', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 4], 'jinv': [257307998572864, 19456203375], 'lmfdb_iso': '47040.fj', 'lmfdb_label': '47040.fj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -21201, -1100799], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '40.12.0.bb.1', '56.12.0-4.c.1.5', '60.12.0.h.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71941394034725581070767645395', 'prec': 103}, 'szpiro_ratio': 4.555884519781738, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 313137
{'Ciso': '47040ge', 'Clabel': '47040ge3', 'Cnumber': 3, 'abc_quality': 1.0178067640963724, 'absD': 1245197016000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, 1745119, 1448008575], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47040, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7320897857148304273862010078', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 4], 'jinv': [152461584507448, 322998046875], 'lmfdb_iso': '47040.fj', 'lmfdb_label': '47040.fj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 8904, 524520], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '28.12.0-4.c.1.2', '40.12.0.bb.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], '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': '0.89270073548724213806198448425', 'prec': 103}, 'szpiro_ratio': 5.178039593285304, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}