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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, -1, 0, -2, 0, -2, 0, -1, 0, -4, 0], 'aplist': [0, 1, -2, 0, -1, -2, -1, -4, -4, 6, 8, -2, 6, 4, -4, 2, 4, -10, 12, -4, 14, -4, 4, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 219912, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '219912.bm', 'trace_hash': 2112463989315092871}
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lmfdb_iso 219912.bm does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1406217
{'Ciso': '219912c', 'Clabel': '219912c3', 'Cnumber': 3, 'abc_quality': 1.052485902764731, 'absD': 499190156270252181504, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -1985104, -58695904], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 219912, 'degree': 7077888, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6611594009859043825980937181', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [3590504967602306, 2071799959977], 'lmfdb_iso': '219912.bm', 'lmfdb_label': '219912.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40512, 182700], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '56.24.0-8.m.1.1', '264.24.0.?', '924.12.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0528194109449645297462879017', 'prec': 100}, 'szpiro_ratio': 4.480711034938258, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1406216
{'Ciso': '219912c', 'Clabel': '219912c2', 'Cnumber': 2, 'abc_quality': 1.0181024818099584, 'absD': 887558077682648064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -1402984, -638487424], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 219912, 'degree': 3538944, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3145858107059317278894776574', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [2535093488117092, 7367303889], 'lmfdb_iso': '219912.bm', 'lmfdb_label': '219912.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28632, 1869660], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '28.12.0-2.a.1.1', '56.24.0-8.b.1.2', '132.12.0.?', '264.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '0.76400808571165398415577451780', 'prec': 103}, 'szpiro_ratio': 4.396066617583906, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1406215
{'Ciso': '219912c', 'Clabel': '219912c1', 'Cnumber': 1, 'abc_quality': 0.962093811988451, 'absD': 2585130653952, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -1402004, -639425088], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 219912, 'degree': 1769472, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9680122204259590731808615966', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [10119139303540048, 85833], 'lmfdb_iso': '219912.bm', 'lmfdb_label': '219912.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28612, 1872388], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '28.12.0-4.c.1.2', '56.24.0-8.m.1.3', '66.6.0.a.1', '132.12.0.?', '264.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '0.53295902552500554768336381057', 'prec': 103}, 'szpiro_ratio': 4.395896203131423, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1406218
{'Ciso': '219912c', 'Clabel': '219912c4', 'Cnumber': 4, 'abc_quality': 0.9934707733092804, 'absD': 541803532694177875968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -836544, -1158252768], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 219912, 'degree': 7077888, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6611594009859043825980937181', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [-268702931670626, 2248659199809], 'lmfdb_iso': '219912.bm', 'lmfdb_label': '219912.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17072, 3381708], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '28.12.0-4.c.1.1', '56.24.0-8.d.1.1', '264.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.0528194109449645297462879017', 'prec': 100}, 'szpiro_ratio': 4.4925695832754045, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}