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ec_curvedata • Show schema
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{'Ciso': '418950lu', 'Clabel': '418950lu1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 385211465343129600000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, -1, 1, 102918145, -854539259353], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 418950, 'degree': 165888000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7845167495937768253519366251', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 306, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '418950.lu', 'lmfdb_label': '418950.lu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '30.72.1.i.1', '70.72.0-10.a.2.4', '76.6.0.?', '105.24.0.?', '210.144.1.?', '380.72.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5303596624851150617250535323', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 46550], [5, 14, 8379], [7, 26, 8550], [19, 20, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579683', 'prec': 100}, 'szpiro_ratio': 5.289151102682632, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, -2, 0, 4, 0, 0, 1, 2, 0, 1, 0], 'aplist': [1, 0, 0, 0, -2, 4, 2, 1, 4, 0, 8, -8, -8, 6, 12, -6, 0, -2, -8, 8, 14, 0, -4, 0, -12], 'class_deg': 10, 'class_size': 4, 'conductor': 418950, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '418950.lu', 'trace_hash': 1662850425266521509}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00051619110672088641827779075853', 'prec': 113}, 'conductor': 418950, 'gens': [[8949, 880450, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5303596624851150617250535323', 'prec': 100}], 'lmfdb_label': '418950.lu4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.027325507030059064735315642572', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.435018844139833383769686206738714666', 'prec': 130}, 'tamagawa_product': 640, 'torsion_generators': [[6099, -3050, 1]], 'xcoord_integral_points': [6099, 8949, 81363]}
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lmfdb_label 418950.lu4 does not appear in ec_iwasawa
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lmfdb_label 418950.lu4 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10352176
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '418950.lu4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
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id: 10352177
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '418950.lu4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 10352178
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '418950.lu4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10352179
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418950.lu4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10352180
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418950.lu4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4254371
{'adelic_gens': [[2274, 1127, 6545, 3604], [11, 16, 7740, 7631], [2279, 0, 0, 7979], [1, 10, 10, 101], [7961, 20, 7960, 21], [3991, 6860, 0, 1], [1, 0, 20, 1], [4201, 6846, 0, 1], [7734, 1127, 6685, 1028], [1, 20, 0, 1]], 'adelic_image': '7980.288.5.?', 'conductor': 418950, 'lmfdb_label': '418950.lu4', 'prime': 0}
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id: 1414962
{'conductor': 418950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '418950.lu4', 'modell_image': '2B', 'prime': 2}
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id: 1414963
{'conductor': 418950, 'elladic_image': '5.12.0.1', 'lmfdb_label': '418950.lu4', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 418950.lu does not appear in ec_padic