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ec_curvedata • Show schema
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{'Ciso': '154560br', 'Clabel': '154560br2', 'Cnumber': 2, 'abc_quality': 0.9046466342741584, 'absD': 85999656960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1288, 'ainvs': [0, 1, 0, -43041, -3422241], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154560, 'degree': 655360, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4932460607993186109577452625', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 158, 'isogeny_degrees': [1, 2], 'jinv': [134555337776164, 1312250625], 'lmfdb_iso': '154560.gc', 'lmfdb_label': '154560.gc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10760, 422400], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0.b.1', '56.24.0-28.b.1.2', '92.12.0.?', '184.24.0.?', '644.24.0.?', '1288.48.0.?'], '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': '0.56904982005272486506810243389', 'prec': 103}, 'szpiro_ratio': 3.650997555682194, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 1, 0, 1, 0, 4, 0, -2, 0, -1, 0, -2, 0, -8, 0], 'aplist': [0, 1, -1, 1, 4, -2, -2, -8, -1, 2, 4, -6, -6, 4, 12, 10, 12, 2, -4, 8, -14, -8, 0, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 154560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '154560.gc', 'trace_hash': 2218310308967567893}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.050464148697586406426632627871', 'prec': 107}, 'conductor': 154560, 'gens': [], 'heights': [], 'lmfdb_label': '154560.gc3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.33165292848663286903961826600', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6532234278930629523169461279886243129', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-111, 0, 1], [239, 0, 1]], 'xcoord_integral_points': [-129, -111, 239]}
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lmfdb_label 154560.gc3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6930615
{'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 4]}
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id: 6930614
{'degree': 4, 'field': [18, -16, 17, -2, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 4]}
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id: 6930613
{'degree': 4, 'field': [81, 0, -74, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 4]}
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id: 6930616
{'degree': 8, 'field': [-839523, 0, -87814, 0, -3174, 0, 0, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 6]}
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id: 6930617
{'degree': 16, 'field': [1742400, 1848000, -1193648, -862944, 1009858, 306252, -349474, -50712, 75065, 2016, -9982, 120, 872, -12, -44, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [4, 4]}
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id: 6930620
{'degree': 16, 'field': [5617502500, 0, -1477231500, 0, 110914625, 0, 16149030, 0, 1857756, 0, 34008, 0, 3608, 0, 18, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 8]}
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id: 6930619
{'degree': 16, 'field': [37181480625, 0, 20020008600, 0, 2890460736, 0, 276814152, 0, 17789458, 0, 691736, 0, 15936, 0, 200, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 8]}
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id: 6930618
{'degree': 16, 'field': [2468791995121, 0, -870597559736, 0, 19498265080, 0, -777190344, 0, 40484514, 0, -662424, 0, 17080, 0, -296, 0, 1], 'lmfdb_label': '154560.gc3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 3821212
{'conductor': 154560, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '154560.gc3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3821213
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154560.gc3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 3821214
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154560.gc3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3821215
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154560.gc3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3821216
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154560.gc3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2665180
{'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [1, 4, 0, 1], [281, 2, 0, 1], [321, 1286, 0, 1287], [1285, 4, 1284, 5], [643, 1286, 0, 1287]], 'adelic_image': '1288.48.0.?', 'conductor': 154560, 'lmfdb_label': '154560.gc3', 'prime': 0}
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id: 591159
{'conductor': 154560, 'elladic_image': '8.12.0.1', 'lmfdb_label': '154560.gc3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 154560.gc does not appear in ec_padic