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ec_curvedata • Show schema
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{'Ciso': '116610o', 'Clabel': '116610o4', 'Cnumber': 4, 'abc_quality': 0.9768763648888013, 'absD': 288021466050435292500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2392, 'ainvs': [1, 1, 0, -29444197, -61502964791], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 116610, 'degree': 11010048, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9590104698967936398927756584', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [584874606003693846049, 59671196032500], 'lmfdb_iso': '116610.v', 'lmfdb_label': '116610.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -174226, -28061077], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '26.6.0.b.1', '52.24.0-52.g.1.1', '184.24.0.?', '2392.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6765357911660252718660319376', 'prec': 100}, 'szpiro_ratio': 5.417831911557355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 1, 1, 4, -1, 1, -1, 0, -1, 0, -4, -1, 1, 2, -1, 0, 1], 'aplist': [-1, -1, 1, 4, 0, 0, 2, 0, -1, -2, 0, -2, -2, 12, 0, -2, -4, -10, 8, 0, 14, 0, -16, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 116610, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '116610.v', 'trace_hash': 1913820094279003720}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0026905196117749595935947697142', 'prec': 110}, 'conductor': 116610, 'gens': [], 'heights': [], 'lmfdb_label': '116610.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.064811531315810587292801312743', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0739690021059387933696420077851714390', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-12629, 12629, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': [0, 0], '5': [1, 0], '13': 'a', '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '116610.v1'}
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ec_torsion_growth • Show schema
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id: 5346762
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 2]}
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id: 5346764
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [4]}
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id: 5346763
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [4]}
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id: 5346765
{'degree': 4, 'field': [-52, 0, 0, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 4]}
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id: 5346766
{'degree': 4, 'field': [9, 0, 7, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 4]}
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id: 5346770
{'degree': 8, 'field': [-3731290, 3511975, -1388305, 328201, -54331, 5677, -263, -1, 1], 'lmfdb_label': '116610.v1', 'torsion': [6]}
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id: 5346767
{'degree': 8, 'field': [196, 0, -152, 0, 32, 0, 4, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [4, 4]}
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id: 5346768
{'degree': 8, 'field': [625, 0, 0, 0, 418, 0, 0, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [8]}
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id: 5346769
{'degree': 8, 'field': [3844, 4712, 2888, -2488, 1172, 68, 8, -4, 1], 'lmfdb_label': '116610.v1', 'torsion': [8]}
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id: 5346773
{'degree': 16, 'field': [6561, 0, 0, 0, -4455, 0, 0, 0, 9664, 0, 0, 0, -55, 0, 0, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 8]}
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id: 5346774
{'degree': 16, 'field': [306040036, 0, -39163229, 0, 8496562, 0, 464133, 0, -136605, 0, -11463, 0, -173, 0, -26, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 6]}
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id: 5346775
{'degree': 16, 'field': [306040036, 0, 39163229, 0, 8496562, 0, -464133, 0, -136605, 0, 11463, 0, -173, 0, 26, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [12]}
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id: 5346771
{'degree': 16, 'field': [915480151, 160045580, -119086350, -110289896, 11045361, -2438440, 2731806, 307228, -117374, 15244, -16782, 2672, -63, 16, 6, -4, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 8]}
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id: 5346772
{'degree': 16, 'field': [923187456, 203694336, 22471808, 3564480, 790128, 4650128, 1013664, -915496, 377977, -10490, -4206, 2290, -589, -22, 8, -4, 1], 'lmfdb_label': '116610.v1', 'torsion': [2, 8]}
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id: 5346776
{'degree': 16, 'field': [13922525064100, 0, 1973631273725, 0, 27572793055, 0, -5227795899, 0, -44726793, 0, 5770431, 0, -28139, 0, 527, 0, 1], 'lmfdb_label': '116610.v1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 2869839
{'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116610.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2869840
{'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '116610.v1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2869841
{'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '116610.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 2869842
{'conductor': 116610, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '116610.v1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2869843
{'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '116610.v1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2426473
{'adelic_gens': [[833, 8, 940, 33], [7, 6, 2386, 2387], [1, 0, 8, 1], [1648, 2389, 731, 2390], [1499, 1496, 322, 1501], [1499, 1498, 2106, 907], [2385, 8, 2384, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '2392.48.0.?', 'conductor': 116610, 'lmfdb_label': '116610.v1', 'prime': 0}
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id: 460058
{'conductor': 116610, 'elladic_image': '4.12.0.8', 'lmfdb_label': '116610.v1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 116610.v does not appear in ec_padic