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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, -4, 0, 0, 0, -6, 0, -4, 0, 0, 0, 3, 0, -7, 0], 'aplist': [0, 0, 1, -4, -6, -4, 3, -7, 9, 0, -7, 2, -6, 2, 0, -9, 12, -7, 2, -6, 2, -1, -9, 6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 540, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '540.d', 'trace_hash': 493214808045495580}
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ec_padic • Show schema
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id: 8473
{'lmfdb_iso': '540.d', 'p': 7, 'prec': 20, 'unit': 8643865533150037, 'val': 1}
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id: 8478
{'lmfdb_iso': '540.d', 'p': 11, 'prec': 20, 'unit': 28503851832248455247, 'val': 1}
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id: 8476
{'lmfdb_iso': '540.d', 'p': 13, 'prec': 20, 'unit': 215633741231947545913, 'val': 1}
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id: 8479
{'lmfdb_iso': '540.d', 'p': 17, 'prec': 20, 'unit': 69648381826028342695161, 'val': 1}
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id: 8480
{'lmfdb_iso': '540.d', 'p': 19, 'prec': 20, 'unit': 1849238047581198063106423, 'val': 1}
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id: 8483
{'lmfdb_iso': '540.d', 'p': 23, 'prec': 20, 'unit': 46768905510517153205143097, 'val': 1}
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id: 8488
{'lmfdb_iso': '540.d', 'p': 31, 'prec': 20, 'unit': 10602160818887743783315314389, 'val': 1}
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id: 8472
{'lmfdb_iso': '540.d', 'p': 37, 'prec': 20, 'unit': 214676437771460161134393257987, 'val': 1}
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id: 8474
{'lmfdb_iso': '540.d', 'p': 41, 'prec': 20, 'unit': 750078294467282106705676278538, 'val': 1}
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id: 8475
{'lmfdb_iso': '540.d', 'p': 43, 'prec': 20, 'unit': 162716398855870605398456724019, 'val': 1}
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id: 8481
{'lmfdb_iso': '540.d', 'p': 53, 'prec': 20, 'unit': 409704549345764530196226534436953, 'val': 1}
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id: 8486
{'lmfdb_iso': '540.d', 'p': 59, 'prec': 20, 'unit': 524094414267135959313383138972899, 'val': 1}
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id: 8487
{'lmfdb_iso': '540.d', 'p': 61, 'prec': 20, 'unit': 8025492908393988184165857155393662, 'val': 1}
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id: 8471
{'lmfdb_iso': '540.d', 'p': 67, 'prec': 20, 'unit': 20150882908618972576467146061635496, 'val': 1}
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id: 8485
{'lmfdb_iso': '540.d', 'p': 71, 'prec': 20, 'unit': 14055883792761338985685360535588201, 'val': 1}
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id: 8482
{'lmfdb_iso': '540.d', 'p': 73, 'prec': 20, 'unit': 30912701887639773398635234035524674, 'val': 1}
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id: 8477
{'lmfdb_iso': '540.d', 'p': 79, 'prec': 20, 'unit': 506718333057745752558893178266702605, 'val': 1}
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id: 8470
{'lmfdb_iso': '540.d', 'p': 83, 'prec': 20, 'unit': 2867895193738920954887698800837468233, 'val': 1}
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id: 8484
{'lmfdb_iso': '540.d', 'p': 89, 'prec': 20, 'unit': 1252810875586247564223690530886262736, 'val': 1}
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id: 8469
{'lmfdb_iso': '540.d', 'p': 97, 'prec': 20, 'unit': 4792331447103344776473515391240710506, 'val': 1}
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ec_curvedata • Show schema
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id: 2406
{'Ciso': '540b', 'Clabel': '540b2', 'Cnumber': 2, 'abc_quality': 1.1514167254781673, 'absD': 486000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -57, 169], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 540, 'degree': 108, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12251192535806055317711302039', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-5267712, 125], 'lmfdb_iso': '540.d', 'lmfdb_label': '540.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -513, -4563], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '30.16.0-30.b.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 18, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.21887421020920288401026074996', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 8, 2], [5, 6, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81131610582308802773087590959', 'prec': 107}, 'szpiro_ratio': 3.7801290011928352, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
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id: 2405
{'Ciso': '540b', 'Clabel': '540b1', 'Cnumber': 1, 'abc_quality': 0.6989700043360189, 'absD': 2160, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, 3, 1], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 540, 'degree': 36, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.67181806969211539887473563886', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [6912, 5], 'lmfdb_iso': '540.d', 'lmfdb_label': '540.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, -27], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '30.16.0-30.b.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65662263062760865203078224988', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 2, 20], [5, 6, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1775202020457912581959576552', 'prec': 103}, 'szpiro_ratio': 2.3697490352581063, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}