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ec_curvedata • Show schema
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{'Ciso': '141610bo', 'Clabel': '141610bo1', 'Cnumber': 1, 'abc_quality': 0.9887036529951482, 'absD': 19310373815910800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 0, 1, -106503, -11596294], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 141610, 'degree': 1658880, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8502708581217114149264052911', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 6800], 'lmfdb_iso': '141610.g', 'lmfdb_label': '141610.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, 6], 'min_quad_twist_disc': -119, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '34.6.0.a.1', '56.12.0-4.b.1.1', '68.12.0.e.1', '340.24.0.?', '952.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1197653816449056505818163283', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53929088843405327775103838956', 'prec': 107}, 'szpiro_ratio': 3.907093071055995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 1, 2, 0, -1, 1, -1, 2, -2, 6, 0, -2, 1, 0, -1, 8, 1], 'aplist': [-1, -2, 1, 0, 2, 6, 0, 8, 2, -6, -2, -6, 2, -4, -4, -10, 0, -10, 8, -14, 10, 14, 4, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 141610, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '141610.g', 'trace_hash': 1367493627822148218}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.024710136961440381596072977264', 'prec': 107}, 'conductor': 141610, 'gens': [[4495, 298312, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1197653816449056505818163283', 'prec': 100}], 'lmfdb_label': '141610.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26682553810871705951212994221', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3970344593562642133921403452409543629', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-129, 64, 1]], 'xcoord_integral_points': [-129, 4495]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 0], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [3, 0], '13': [1, 0], '17': 'a', '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141610.g1'}
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ec_torsion_growth • Show schema
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id: 6403445
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '141610.g1', 'torsion': [2, 2]}
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id: 6403446
{'degree': 4, 'field': [53, -14, -3, 0, 1], 'lmfdb_label': '141610.g1', 'torsion': [4]}
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id: 6403449
{'degree': 8, 'field': [-107126, 3389, 8608, -3683, -379, 301, 19, -4, 1], 'lmfdb_label': '141610.g1', 'torsion': [6]}
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id: 6403448
{'degree': 8, 'field': [169, 0, 225, 0, 4, 0, 1, 0, 1], 'lmfdb_label': '141610.g1', 'torsion': [2, 4]}
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id: 6403447
{'degree': 8, 'field': [8836, 0, -7236, 0, 717, 0, -39, 0, 1], 'lmfdb_label': '141610.g1', 'torsion': [2, 4]}
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id: 6403451
{'degree': 16, 'field': [1519876, 1026780, 320958, -80722, -54689, 328788, 265273, 47718, -30932, -19476, -1507, 1330, 472, -20, -21, -4, 1], 'lmfdb_label': '141610.g1', 'torsion': [8]}
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id: 6403452
{'degree': 16, 'field': [96118416, 0, -36643824, 0, 4671264, 0, -643352, 0, 69716, 0, -7592, 0, 589, 0, -34, 0, 1], 'lmfdb_label': '141610.g1', 'torsion': [2, 6]}
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id: 6403450
{'degree': 16, 'field': [249450436, 0, 191256744, 0, 46829601, 0, 6603624, 0, 721284, 0, 51926, 0, 2608, 0, 80, 0, 1], 'lmfdb_label': '141610.g1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 3500773
{'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '141610.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3500774
{'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141610.g1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3500775
{'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141610.g1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3500776
{'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141610.g1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2584773
{'adelic_gens': [[1639, 686, 1218, 4075], [1, 0, 8, 1], [1191, 4088, 4424, 2073], [1, 8, 0, 1], [1, 4, 4, 17], [4753, 8, 4752, 9], [3399, 0, 0, 4759], [3, 8, 28, 75], [2381, 4088, 2044, 2073], [594, 679, 3297, 2036], [5, 8, 48, 77]], 'adelic_image': '4760.48.0.?', 'conductor': 141610, 'lmfdb_label': '141610.g1', 'prime': 0}
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id: 547508
{'conductor': 141610, 'elladic_image': '4.6.0.3', 'lmfdb_label': '141610.g1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 141610.g does not appear in ec_padic