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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, -4, 0, 0, 0, 1, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, -4, 1, -2, 2, 0, 8, 6, 8, 6, 2, 0, 8, -6, -4, 6, 4, 0, -14, 4, 12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1584, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1584.o', 'trace_hash': 1619252262249239878}
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lmfdb_iso 1584.o does not appear in ec_padic
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ec_curvedata • Show schema
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id: 8631
{'Ciso': '1584q', 'Clabel': '1584q3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 1180380377088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -21099, 1178458], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1584, 'degree': 3072, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2298212577773115568724086197', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '1584.o', 'lmfdb_label': '1584.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '12.24.0-12.h.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.012632067116688598242446120220', 'prec': 110}, 'szpiro_ratio': 5.630589945319043, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 8630
{'Ciso': '1584q', 'Clabel': '1584q2', 'Cnumber': 2, 'abc_quality': 1.0066941367119941, 'absD': 263390662656, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 132, 'ainvs': [0, 0, 0, -1659, 8170], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1584, 'degree': 1536, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88324766749733890216379255898', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [169112377, 88209], 'lmfdb_iso': '1584.o', 'lmfdb_label': '1584.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11, 0], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.1', '44.24.0-44.b.1.3', '132.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.35920565739666125295106218094', 'prec': 107}, 'szpiro_ratio': 4.5951212063731885, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 8629
{'Ciso': '1584q', 'Clabel': '1584q1', 'Cnumber': 1, 'abc_quality': 1.0970565641289056, 'absD': 886837248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -939, -10982], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1584, 'degree': 768, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53667407721736624745517649825', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [30664297, 297], 'lmfdb_iso': '1584.o', 'lmfdb_label': '1584.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6, -9], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.ba.1.16', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824167', 'prec': 107}, 'szpiro_ratio': 4.36337148172355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 8632
{'Ciso': '1584q', 'Clabel': '1584q4', 'Cnumber': 4, 'abc_quality': 1.0376318384434067, 'absD': 17455617552384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, 6261, 63610], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1584, 'degree': 3072, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2298212577773115568724086197', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [9090072503, 5845851], 'lmfdb_iso': '1584.o', 'lmfdb_label': '1584.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 44, 55], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '22.6.0.a.1', '24.24.0-24.ba.1.4', '44.12.0.g.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.012632067116688598242446120220', 'prec': 110}, 'szpiro_ratio': 5.1359100659657395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}