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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, -1, -1, -1, -4, 3, 1, 1, 0, -1, -6, 4, -1, -1, 2, -1, 4, 1], 'aplist': [-1, 1, -1, -4, 0, -6, 2, 4, -1, 10, -8, 2, -2, 8, 0, -6, 0, -6, 8, -4, -10, -16, 12, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 41745, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '41745.h', 'trace_hash': 1623144886077522993}
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ec_padic • Show schema
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id: 2076049
{'lmfdb_iso': '41745.h', 'p': 7, 'prec': 20, 'unit': 9750315187471595, 'val': 1}
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id: 2076053
{'lmfdb_iso': '41745.h', 'p': 13, 'prec': 20, 'unit': 578823985303547845811, 'val': 1}
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id: 2076055
{'lmfdb_iso': '41745.h', 'p': 17, 'prec': 20, 'unit': 95767712154879405145841, 'val': 1}
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id: 2076045
{'lmfdb_iso': '41745.h', 'p': 19, 'prec': 20, 'unit': 1517116130166315641371706, 'val': 1}
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id: 2076052
{'lmfdb_iso': '41745.h', 'p': 29, 'prec': 20, 'unit': 721812144122930553970683194, 'val': 1}
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id: 2076062
{'lmfdb_iso': '41745.h', 'p': 31, 'prec': 20, 'unit': 12115981745545678443385516611, 'val': 1}
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id: 2076048
{'lmfdb_iso': '41745.h', 'p': 37, 'prec': 20, 'unit': 141639156392518474434234157385, 'val': 1}
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id: 2076050
{'lmfdb_iso': '41745.h', 'p': 41, 'prec': 20, 'unit': 2705766188489273311422943693495, 'val': 1}
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id: 2076051
{'lmfdb_iso': '41745.h', 'p': 43, 'prec': 20, 'unit': 3824904208198943786100982424138, 'val': 1}
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id: 2076057
{'lmfdb_iso': '41745.h', 'p': 53, 'prec': 20, 'unit': 337932222003227832307330869617002, 'val': 1}
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id: 2076061
{'lmfdb_iso': '41745.h', 'p': 61, 'prec': 20, 'unit': 2973846234935146650687476046803001, 'val': 1}
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id: 2076047
{'lmfdb_iso': '41745.h', 'p': 67, 'prec': 20, 'unit': 35123700350341633803395227885341505, 'val': 1}
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id: 2076060
{'lmfdb_iso': '41745.h', 'p': 71, 'prec': 20, 'unit': 39263089359758546595291426389275784, 'val': 1}
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id: 2076058
{'lmfdb_iso': '41745.h', 'p': 73, 'prec': 20, 'unit': 74954112290444463312686639207787770, 'val': 1}
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id: 2076054
{'lmfdb_iso': '41745.h', 'p': 79, 'prec': 20, 'unit': 956780919747449740059575219535017381, 'val': 1}
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id: 2076056
{'lmfdb_iso': '41745.h', 'p': 83, 'prec': 20, 'unit': 2821487889190631921952573340706296187, 'val': 1}
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id: 2076059
{'lmfdb_iso': '41745.h', 'p': 89, 'prec': 20, 'unit': 2156250556145081398617877791350981094, 'val': 1}
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id: 2076046
{'lmfdb_iso': '41745.h', 'p': 97, 'prec': 20, 'unit': 15413662297959798860793714639507490857, 'val': 1}
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ec_curvedata • Show schema
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id: 278154
{'Ciso': '41745z', 'Clabel': '41745z4', 'Cnumber': 4, 'abc_quality': 1.0132386828274675, 'absD': 2417298444580078125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 30360, 'ainvs': [1, 0, 0, -3646156, -2679050989], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41745, 'degree': 1536000, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4852215202411045025875746609', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [3026030815665395929, 1364501953125], 'lmfdb_iso': '41745.h', 'lmfdb_label': '41745.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -30134, 2010071], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '132.12.0.?', '138.6.0.?', '276.12.0.?', '440.12.0.?', '920.12.0.?', '1012.12.0.?', '1320.24.0.?', '2760.24.0.?', '3036.24.0.?', '10120.24.0.?', '30360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5585588837233252942276222144', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2862738838419192305566028719', 'prec': 100}, 'szpiro_ratio': 5.351946837808953, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 278153
{'Ciso': '41745z', 'Clabel': '41745z3', 'Cnumber': 3, 'abc_quality': 1.0067661933729353, 'absD': 17759022373132387875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 30360, 'ainvs': [1, 0, 0, -2004186, 1072928385], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41745, 'degree': 1536000, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4852215202411045025875746609', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [502552788401502649, 10024505152875], 'lmfdb_iso': '41745.h', 'lmfdb_label': '41745.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16564, -807613], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '220.12.0.?', '264.12.0.?', '460.12.0.?', '552.12.0.?', '1012.12.0.?', '1320.24.0.?', '2760.24.0.?', '5060.24.0.?', '6072.24.0.?', '30360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63963972093083132355690555361', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2862738838419192305566028719', 'prec': 100}, 'szpiro_ratio': 5.183204487063156, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 278152
{'Ciso': '41745z', 'Clabel': '41745z2', 'Cnumber': 2, 'abc_quality': 0.996968534485588, 'absD': 864657984432515625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 15180, 'ainvs': [1, 0, 0, -264811, -27400240], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41745, 'degree': 768000, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1386479299611318478789586002', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [1159246431432649, 488076890625], 'lmfdb_iso': '41745.h', 'lmfdb_label': '41745.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2189, 20387], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '60.12.0.b.1', '132.12.0.?', '220.12.0.?', '276.12.0.?', '460.12.0.?', '660.24.0.?', '1012.12.0.?', '1380.24.0.?', '3036.24.0.?', '5060.24.0.?', '15180.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2792794418616626471138111072', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93970029356194657584798681122', 'prec': 103}, 'szpiro_ratio': 4.612498654288259, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 278151
{'Ciso': '41745z', 'Clabel': '41745z1', 'Cnumber': 1, 'abc_quality': 0.9760884218335485, 'absD': 15058570329705375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 30360, 'ainvs': [1, 0, 0, 55234, -3140829], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41745, 'degree': 384000, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7920743396811591931703425395', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [10519294081031, 8500170375], 'lmfdb_iso': '41745.h', 'lmfdb_label': '41745.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 456, 2401], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '30.6.0.a.1', '60.12.0.g.1', '132.12.0.?', '220.12.0.?', '552.12.0.?', '660.24.0.?', '920.12.0.?', '2024.12.0.?', '2760.24.0.?', '6072.24.0.?', '10120.24.0.?', '30360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5585588837233252942276222144', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59312670328197392113937075052', 'prec': 103}, 'szpiro_ratio': 4.1705241926373855, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}