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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 2, 0, -1, 0, 1, 0, 0, 0, 2, 0, -2, 0, -6, 0, -4, 0], 'aplist': [0, -1, 2, -1, 0, 2, -6, -4, 4, -6, 8, -10, 10, 12, 8, 6, -4, 10, -12, -4, -2, 8, 4, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 40656, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '40656.bi', 'trace_hash': 971686433995719871}
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lmfdb_iso 40656.bi does not appear in ec_padic
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ec_curvedata • Show schema
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id: 270427
{'Ciso': '40656i', 'Clabel': '40656i4', 'Cnumber': 4, 'abc_quality': 0.9646136186834661, 'absD': 1028582489088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -18432, 968112], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 92160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2059066314682798155319221186', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [381775972, 567], 'lmfdb_iso': '40656.bi', 'lmfdb_label': '40656.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -152, 672], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '28.12.0.h.1', '44.12.0-4.c.1.1', '168.24.0.?', '264.24.0.?', '308.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.57066365539752654768007643826', 'prec': 107}, 'szpiro_ratio': 3.870683919994415, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 270425
{'Ciso': '40656i', 'Clabel': '40656i2', 'Cnumber': 2, 'abc_quality': 0.9539300254639066, 'absD': 200002150656, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 924, 'ainvs': [0, -1, 0, -1492, 5920], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 46080, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85933304118830716082330605791', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [810448, 441], 'lmfdb_iso': '40656.bi', 'lmfdb_label': '40656.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12, 0], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '44.12.0-2.a.1.1', '84.24.0.?', '132.24.0.?', '308.24.0.?', '924.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.80171271558417498415248714538', 'prec': 107}, 'szpiro_ratio': 3.160105734690092, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 270424
{'Ciso': '40656i', 'Clabel': '40656i1', 'Cnumber': 1, 'abc_quality': 0.9302571953252023, 'absD': 595244496, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -887, -9810], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 23040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51275945090833450611468999718', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 21], 'lmfdb_iso': '40656.bi', 'lmfdb_label': '40656.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, -10], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '88.12.0.?', '132.12.0.?', '168.24.0.?', '264.24.0.?', '308.12.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91723724567749920238869249896', 'prec': 107}, 'szpiro_ratio': 3.013150036698405, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 270426
{'Ciso': '40656i', 'Clabel': '40656i3', 'Cnumber': 3, 'abc_quality': 1.0121470066906046, 'absD': 13066807176192, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, -1, 0, 5768, 40768], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 92160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2059066314682798155319221186', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [11696828, 7203], 'lmfdb_iso': '40656.bi', 'lmfdb_label': '40656.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 48, 48], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '44.12.0-4.c.1.2', '56.12.0.ba.1', '132.24.0.?', '168.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.57066365539752654768007643826', 'prec': 107}, 'szpiro_ratio': 3.54226136614405, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}