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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 3, 0, -2, 0, 0, 1, -3, 0, 1, 0], 'aplist': [-1, 0, 0, 0, 3, -2, -3, 1, 6, -6, 4, -4, 9, -1, -6, -12, 3, -8, 5, 12, -11, -4, 12, 6, -5], 'class_deg': 21, 'class_size': 4, 'conductor': 7938, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '7938.i', 'trace_hash': 1765180183574390066}
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ec_padic • Show schema
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id: 325960
{'lmfdb_iso': '7938.i', 'p': 11, 'prec': 20, 'unit': 48550918319772435973, 'val': 1}
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id: 325966
{'lmfdb_iso': '7938.i', 'p': 13, 'prec': 20, 'unit': 32134631324102192602, 'val': 1}
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id: 325968
{'lmfdb_iso': '7938.i', 'p': 17, 'prec': 20, 'unit': 127881480855106493080593, 'val': 1}
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id: 325969
{'lmfdb_iso': '7938.i', 'p': 19, 'prec': 20, 'unit': 6746601163005562121282591, 'val': -1}
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id: 325973
{'lmfdb_iso': '7938.i', 'p': 23, 'prec': 20, 'unit': 41053501218909605589736754, 'val': 1}
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id: 325965
{'lmfdb_iso': '7938.i', 'p': 29, 'prec': 20, 'unit': 5243116036582219038516149022, 'val': 1}
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id: 325978
{'lmfdb_iso': '7938.i', 'p': 31, 'prec': 20, 'unit': 16414376788867279076862892550, 'val': 1}
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id: 325961
{'lmfdb_iso': '7938.i', 'p': 37, 'prec': 20, 'unit': 33557857606179503415738965604, 'val': 1}
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id: 325963
{'lmfdb_iso': '7938.i', 'p': 41, 'prec': 20, 'unit': 4010866952210745072217403234929, 'val': 1}
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id: 325964
{'lmfdb_iso': '7938.i', 'p': 43, 'prec': 20, 'unit': 2729910194215181857764345352763, 'val': 1}
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id: 325975
{'lmfdb_iso': '7938.i', 'p': 47, 'prec': 20, 'unit': 15851172156630054975859542006948, 'val': 1}
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id: 325970
{'lmfdb_iso': '7938.i', 'p': 53, 'prec': 20, 'unit': 376284442535565438008805514281631, 'val': 1}
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id: 325971
{'lmfdb_iso': '7938.i', 'p': 59, 'prec': 20, 'unit': 3036145939961586433685553173103458, 'val': 1}
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id: 325976
{'lmfdb_iso': '7938.i', 'p': 61, 'prec': 20, 'unit': 6752098195947289442506720368177211, 'val': 1}
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id: 325959
{'lmfdb_iso': '7938.i', 'p': 67, 'prec': 20, 'unit': 42536989463178054550900006584629955, 'val': 1}
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id: 325962
{'lmfdb_iso': '7938.i', 'p': 71, 'prec': 20, 'unit': 82430400920169689917665564004883791, 'val': 1}
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id: 325972
{'lmfdb_iso': '7938.i', 'p': 73, 'prec': 20, 'unit': 245211284358274961678586933886685964, 'val': 1}
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id: 325967
{'lmfdb_iso': '7938.i', 'p': 79, 'prec': 20, 'unit': 72988384695721343267118177924001826, 'val': 1}
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id: 325977
{'lmfdb_iso': '7938.i', 'p': 83, 'prec': 20, 'unit': 749270041713818427477512511134598441, 'val': 1}
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id: 325974
{'lmfdb_iso': '7938.i', 'p': 89, 'prec': 20, 'unit': 5714159891459569966407080851544645615, 'val': 1}
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id: 325958
{'lmfdb_iso': '7938.i', 'p': 97, 'prec': 20, 'unit': 38804802907023698538961425832479190203, 'val': 1}
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ec_curvedata • Show schema
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id: 50927
{'Ciso': '7938m', 'Clabel': '7938m3', 'Cnumber': 3, 'abc_quality': 1.1259568215438134, 'absD': 10978063488, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [1, -1, 0, -52782, -4654252], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 7938, 'degree': 15120, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2423231534052968343835166224', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 7, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '7938.i', 'lmfdb_label': '7938.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': -7, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.128.1-21.a.4.4', '24.8.0.a.1', '56.16.0.a.1', '63.384.5-63.e.1.2', '168.256.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.137036603417281205139097791', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236778', 'prec': 107}, 'szpiro_ratio': 4.926310156878941, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 50928
{'Ciso': '7938m', 'Clabel': '7938m4', 'Cnumber': 4, 'abc_quality': 1.1123490200903752, 'absD': 14569031967178752, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [1, -1, 0, -41757, -6661243], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 7938, 'degree': 45360, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7916292977393516800811392409', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 21, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-1159088625, 2097152], 'lmfdb_iso': '7938.i', 'lmfdb_label': '7938.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -852, 19664], 'min_quad_twist_disc': -7, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.128.1-21.a.1.1', '24.8.0.a.1', '56.16.0.a.1', '63.384.5-63.e.3.3', '168.256.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3790122011390937350463659305', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.096836017345063048634241494924', 'prec': 110}, 'szpiro_ratio': 5.0058831856667805, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 50926
{'Ciso': '7938m', 'Clabel': '7938m2', 'Cnumber': 2, 'abc_quality': 1.1780968639246816, 'absD': 55576446408, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [1, -1, 0, -2067, 38429], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 7938, 'degree': 6480, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81867422321169502752846286918', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-140625, 8], 'lmfdb_iso': '7938.i', 'lmfdb_label': '7938.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -42, -100], 'min_quad_twist_disc': -7, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.128.1-21.a.3.1', '24.8.0.a.1', '56.16.0.a.1', '63.384.5-63.e.4.2', '168.256.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48271602873415624786376656150', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697910918727197011869178666', 'prec': 103}, 'szpiro_ratio': 3.854281900255985, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 50925
{'Ciso': '7938m', 'Clabel': '7938m1', 'Cnumber': 1, 'abc_quality': 1.4265653296335434, 'absD': 171532242, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [1, -1, 0, 138, 62], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 7938, 'degree': 2160, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26936807887764018183084025072', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [3375, 2], 'lmfdb_iso': '7938.i', 'lmfdb_label': '7938.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 3, -1], 'min_quad_twist_disc': -7, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.128.1-21.a.2.4', '24.8.0.a.1', '56.16.0.a.1', '63.384.5-63.e.2.2', '168.256.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4481480862024687435912996845', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2528931399840713164194587395', 'prec': 103}, 'szpiro_ratio': 2.9390868368496417, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}