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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, -4, 1, -6, 0, 2, 1, 2, 1, 4, 2], 'aplist': [1, 1, 2, 0, -4, -6, 2, 4, -4, 6, -8, 10, 2, -12, 8, 2, 0, 2, 4, -12, 2, -4, 0, -18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 49098, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '49098.bp', 'trace_hash': 34317827669910175}
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ec_padic • Show schema
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id: 2466150
{'lmfdb_iso': '49098.bp', 'p': 5, 'prec': 20, 'unit': 5957367343913, 'val': 1}
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id: 2466149
{'lmfdb_iso': '49098.bp', 'p': 11, 'prec': 20, 'unit': 48409914386758313156, 'val': 1}
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id: 2466156
{'lmfdb_iso': '49098.bp', 'p': 13, 'prec': 20, 'unit': 909525566139155812888, 'val': 1}
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id: 2466158
{'lmfdb_iso': '49098.bp', 'p': 17, 'prec': 20, 'unit': 60342707573673890619241, 'val': 1}
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id: 2466159
{'lmfdb_iso': '49098.bp', 'p': 19, 'prec': 20, 'unit': 806775666651056484674323, 'val': 1}
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id: 2466162
{'lmfdb_iso': '49098.bp', 'p': 23, 'prec': 20, 'unit': 9409284340151148816257807, 'val': 1}
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id: 2466155
{'lmfdb_iso': '49098.bp', 'p': 29, 'prec': 20, 'unit': 2594575898930124999854632692, 'val': 1}
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id: 2466152
{'lmfdb_iso': '49098.bp', 'p': 31, 'prec': 20, 'unit': 1401747206035037075496506058, 'val': 1}
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id: 2466166
{'lmfdb_iso': '49098.bp', 'p': 37, 'prec': 20, 'unit': 222203027927025548566519053862, 'val': 1}
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id: 2466153
{'lmfdb_iso': '49098.bp', 'p': 41, 'prec': 20, 'unit': 2502836624070978217076253875238, 'val': 1}
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id: 2466154
{'lmfdb_iso': '49098.bp', 'p': 43, 'prec': 20, 'unit': 9972703126498544594942994310462, 'val': 1}
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id: 2466157
{'lmfdb_iso': '49098.bp', 'p': 47, 'prec': 20, 'unit': 17709000889902189200122367479353, 'val': 1}
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id: 2466160
{'lmfdb_iso': '49098.bp', 'p': 53, 'prec': 20, 'unit': 485082455265722059180914829758651, 'val': 1}
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id: 2466165
{'lmfdb_iso': '49098.bp', 'p': 61, 'prec': 20, 'unit': 4916742869620920450871488878335781, 'val': 1}
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id: 2466148
{'lmfdb_iso': '49098.bp', 'p': 67, 'prec': 20, 'unit': 43380057836098422567728353959804605, 'val': 1}
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id: 2466151
{'lmfdb_iso': '49098.bp', 'p': 71, 'prec': 20, 'unit': 135299555924664031753026765965384905, 'val': 1}
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id: 2466161
{'lmfdb_iso': '49098.bp', 'p': 73, 'prec': 20, 'unit': 119342086032927860859812782775320001, 'val': 1}
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id: 2466164
{'lmfdb_iso': '49098.bp', 'p': 79, 'prec': 20, 'unit': 966074057917730939049879543822621414, 'val': 1}
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id: 2466163
{'lmfdb_iso': '49098.bp', 'p': 89, 'prec': 20, 'unit': 7529664131651463216275445359525470540, 'val': 1}
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id: 2466147
{'lmfdb_iso': '49098.bp', 'p': 97, 'prec': 20, 'unit': 43346010504426338878332995478774792321, 'val': 1}
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ec_curvedata • Show schema
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id: 326561
{'Ciso': '49098bo', 'Clabel': '49098bo4', 'Cnumber': 4, 'abc_quality': 1.0531102458192911, 'absD': 3735680109293487096, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9352, 'ainvs': [1, 0, 0, -10697142, 13465133100], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 49098, 'degree': 3096576, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6668363626324783880818450894', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [1150638118585800835537, 31752757008504], 'lmfdb_iso': '49098.bp', 'lmfdb_label': '49098.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -218309, -39350509], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '28.12.0-4.c.1.1', '56.24.0-56.s.1.2', '1336.24.0.?', '9352.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73536365938621157914391781730', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6938812881048217355291687177', 'prec': 100}, 'szpiro_ratio': 5.570490639825735, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 326560
{'Ciso': '49098bo', 'Clabel': '49098bo3', 'Cnumber': 3, 'abc_quality': 1.054296715400319, 'absD': 310744071330262036488, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9352, 'ainvs': [1, 0, 0, -2986502, -1796616228], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 49098, 'degree': 3096576, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6668363626324783880818450894', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [25039399590518087377, 2641281025170312], 'lmfdb_iso': '49098.bp', 'lmfdb_label': '49098.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -60949, 5211827], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '56.24.0-56.y.1.6', '1336.24.0.?', '4676.12.0.?', '9352.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9414546375448463165756712692', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6938812881048217355291687177', 'prec': 100}, 'szpiro_ratio': 5.216132882874862, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 326559
{'Ciso': '49098bo', 'Clabel': '49098bo2', 'Cnumber': 2, 'abc_quality': 1.0313702378656904, 'absD': 5468299500942927936, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9352, 'ainvs': [1, 0, 0, -695262, 192638340], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 49098, 'degree': 1548288, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3202627723525057333732290287', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2], 'jinv': [315922815546536017, 46479778841664], 'lmfdb_iso': '49098.bp', 'lmfdb_label': '49098.bp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -14189, -567709], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0-2.a.1.1', '56.24.0-56.b.1.4', '668.12.0.?', '1336.24.0.?', '4676.24.0.?', '9352.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4707273187724231582878356346', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3473076978248490808205526570', 'prec': 100}, 'szpiro_ratio': 4.811311503334829, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 326558
{'Ciso': '49098bo', 'Clabel': '49098bo1', 'Cnumber': 1, 'abc_quality': 0.938682864736404, 'absD': 140858917842972672, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9352, 'ainvs': [1, 0, 0, 73058, 16385732], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 49098, 'degree': 774144, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9736891820725330786646129679', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [366554400441263, 1197281046528], 'lmfdb_iso': '49098.bp', 'lmfdb_label': '49098.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1491, -47133], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '28.12.0-4.c.1.2', '56.24.0-56.y.1.1', '334.6.0.?', '668.12.0.?', '1336.24.0.?', '4676.24.0.?', '9352.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73536365938621157914391781730', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0007341075448764261119365962', 'prec': 100}, 'szpiro_ratio': 4.327725490818712, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}