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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 2, 0, 4, 0, 1, 0, -4, 0, 1, 0, 2, 0, 2, 0, 0, 0], 'aplist': [0, 1, 2, 4, -4, 1, 2, 0, 0, -10, -4, -2, 6, 12, 0, 6, -12, -2, 8, 0, 2, -8, -4, -2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 624, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '624.i', 'trace_hash': 537655653692407192}
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lmfdb_iso 624.i does not appear in ec_padic
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ec_curvedata • Show schema
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id: 2891
{'Ciso': '624h', 'Clabel': '624h4', 'Cnumber': 4, 'abc_quality': 1.1161605159157866, 'absD': 4313088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -1112, 13908], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 256, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37478071843155785646845510429', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [37159393753, 1053], 'lmfdb_iso': '624.i', 'lmfdb_label': '624.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -69, -252], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.ba.1.8', '26.6.0.b.1', '52.24.0-52.g.1.2', '312.48.0.?'], '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, 'serre_invariants': [[2, 2, 13], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'szpiro_ratio': 5.073879063401496, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 2890
{'Ciso': '624h', 'Clabel': '624h3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 350957568, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -312, -2028], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 256, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37478071843155785646845510429', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '624.i', 'lmfdb_label': '624.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '12.24.0-12.h.1.1', '104.24.0.?', '312.48.0.?'], '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, 'serre_invariants': [[2, 2, 3], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'szpiro_ratio': 4.481843083591998, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2889
{'Ciso': '624h', 'Clabel': '624h2', 'Cnumber': 2, 'abc_quality': 0.9140273049268122, 'absD': 6230016, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 156, 'ainvs': [0, 1, 0, -72, 180], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 128, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.028207128151585201759839043559', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [10218313, 1521], 'lmfdb_iso': '624.i', 'lmfdb_label': '624.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4, -5], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.2', '52.24.0-52.b.1.1', '156.48.0.?'], '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, 'serre_invariants': [[2, 2, 1], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307790', 'prec': 107}, 'szpiro_ratio': 3.8000134906010468, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 2888
{'Ciso': '624h', 'Clabel': '624h1', 'Cnumber': 1, 'abc_quality': 0.8584360026236014, 'absD': 159744, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, 8, 20], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 64, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '624.i', 'lmfdb_label': '624.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': -4, '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.1.1', '24.24.0-24.ba.1.12', '52.12.0-4.c.1.1', '78.6.0.?', '104.24.0.?', '156.24.0.?', '312.48.0.?'], '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, 'serre_invariants': [[2, 2, 39], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 2.988888713593132, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
