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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, 2, 0, 0, 6, 6, 1, 4, -2, -8, -10, 2, 4, 12, 6, -12, -2, 4, 0, 10, 0, 16, 2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 2736, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2736.s', 'trace_hash': 1543816632100312673}
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lmfdb_iso 2736.s does not appear in ec_padic
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ec_curvedata • Show schema
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id: 16231
{'Ciso': '2736t', 'Clabel': '2736t3', 'Cnumber': 3, 'abc_quality': 0.9811108308373943, 'absD': 4595429376, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -14619, 680330], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 3072, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99744466269117406144542237005', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [115714886617, 1539], 'lmfdb_iso': '2736.s', 'lmfdb_label': '2736.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -102, 385], '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.1.1', '24.24.0-24.z.1.12', '76.12.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], '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, 171], [3, 8, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 107}, 'szpiro_ratio': 5.102672192511335, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 16230
{'Ciso': '2736t', 'Clabel': '2736t2', 'Cnumber': 2, 'abc_quality': 0.9072668607940285, 'absD': 9701462016, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 228, 'ainvs': [0, 0, 0, -939, 10010], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 1536, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.65087107241120140673680630932', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [30664297, 3249], 'lmfdb_iso': '2736.s', 'lmfdb_label': '2736.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7, 5], '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.b.1.1', '76.24.0.?', '228.48.0.?'], '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, 9], [3, 8, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59158225248279874837804843060', 'prec': 107}, 'szpiro_ratio': 4.062045072368696, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 16229
{'Ciso': '2736t', 'Clabel': '2736t1', 'Cnumber': 1, 'abc_quality': 0.9626725733934746, 'absD': 170201088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -219, -1078], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 768, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.30429748213122875202819024859', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [389017, 57], 'lmfdb_iso': '2736.s', 'lmfdb_label': '2736.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, -1], '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.z.1.16', '114.6.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], '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, 171], [3, 8, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93815584276277140308666449133', 'prec': 107}, 'szpiro_ratio': 3.510226518403011, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 16232
{'Ciso': '2736t', 'Clabel': '2736t4', 'Cnumber': 4, 'abc_quality': 0.9747386105988611, 'absD': 1167409262592, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, 1221, 49322], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 3072, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99744466269117406144542237005', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 390963], 'lmfdb_iso': '2736.s', 'lmfdb_label': '2736.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 8, 29], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '6.6.0.a.1', '12.24.0-12.g.1.2', '152.24.0.?', '456.48.0.?'], '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, 9], [3, 8, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 107}, 'szpiro_ratio': 4.439509294882377, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
