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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, -1, -2, -1, 4, -3, 1, -2, 1, 1, -2, 4, 2, -1, -2, 1, 0, 2], 'aplist': [1, -1, -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': 33, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '33.a', 'trace_hash': 2215180138185436427}
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lmfdb_iso 33.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 63
{'Ciso': '33a', 'Clabel': '33a3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 395307, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -146, 621], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': 1, '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': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 110}, 'szpiro_ratio': 7.600471453800636, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 61
{'Ciso': '33a', 'Clabel': '33a1', 'Cnumber': 1, 'abc_quality': 1.0066941367119941, 'absD': 88209, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 132, 'ainvs': [1, 1, 0, -11, 0], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 3, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.35920565739666125295106218094', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [169112377, 88209], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11, 0], 'min_quad_twist_disc': 1, '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.1.2', '132.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35920565739666125295106218094', 'prec': 107}, 'szpiro_ratio': 5.418570865787225, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 62
{'Ciso': '33a', 'Clabel': '33a2', 'Cnumber': 2, 'abc_quality': 1.0970565641289056, 'absD': 297, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -6, -9], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [30664297, 297], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 0, -6, -9], 'min_quad_twist_disc': 1, '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', '24.24.0-24.ba.1.4', '44.12.0-4.c.1.2', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 107}, 'szpiro_ratio': 4.930236605691871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 64
{'Ciso': '33a', 'Clabel': '33a4', 'Cnumber': 4, 'abc_quality': 1.0376318384434067, 'absD': 5845851, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, 44, 55], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120206', 'prec': 110}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [9090072503, 5845851], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 44, 55], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '22.6.0.a.1', '24.24.0-24.ba.1.16', '44.24.0-44.g.1.1', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 11], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120206', 'prec': 110}, 'szpiro_ratio': 6.558100709959362, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
