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ec_curvedata • Show schema
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{'Ciso': '11760cp', 'Clabel': '11760cp8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 2823576000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -355560, -11225292], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 11760, 'degree': 165888, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2302682403039536422591508147', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '11760.ci', 'lmfdb_label': '11760.ci2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '56.12.0-4.c.1.2', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1371460372241426466564699723', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232152', 'prec': 103}, 'szpiro_ratio': 5.330292993103165, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, -2, -6, -4, 0, -6, 8, 2, 6, 4, 0, -6, 0, 10, 4, 0, -2, -8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 11760, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '11760.ci', 'trace_hash': 607211587070975277}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011556161967375950568427083829', 'prec': 107}, 'conductor': 11760, 'gens': [[-514, 6000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1371460372241426466564699723', 'prec': 100}], 'lmfdb_label': '11760.ci2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21115289289306812890773252553', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7626802096423901396957343827105546322', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[611, 0, 1]], 'xcoord_integral_points': [-514, 611, 1052]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 1], '5': [2, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '11760.ci2'}
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ec_torsion_growth • Show schema
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id: 609107
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [4]}
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id: 609106
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 2]}
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id: 609108
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '11760.ci2', 'torsion': [4]}
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id: 609109
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [6]}
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id: 609110
{'degree': 4, 'field': [4, 0, -10, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 4]}
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id: 609112
{'degree': 4, 'field': [25, 0, -4, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [12]}
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id: 609111
{'degree': 4, 'field': [25, 0, 4, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 6]}
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id: 609113
{'degree': 4, 'field': [25, 0, 11, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [12]}
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id: 609114
{'degree': 6, 'field': [-334, -126, 147, -6, -21, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [6]}
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id: 609118
{'degree': 8, 'field': [1, 0, 0, 0, 23, 0, 0, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 12]}
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id: 609117
{'degree': 8, 'field': [204, -216, 324, -240, 211, -62, 15, -2, 1], 'lmfdb_label': '11760.ci2', 'torsion': [8]}
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id: 609116
{'degree': 8, 'field': [281, -40, -760, 240, 318, -40, -40, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [8]}
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id: 609115
{'degree': 8, 'field': [865, 1224, 632, 240, 54, -24, 8, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 12]}
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id: 609121
{'degree': 12, 'field': [-1854, 6156, 2214, -2220, 2619, 144, -890, 0, 219, -12, -24, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [12]}
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id: 609122
{'degree': 12, 'field': [256, 0, 48, 0, -327, 0, -71, 0, 96, 0, -15, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [12]}
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id: 609120
{'degree': 12, 'field': [6561, 0, 0, 0, 0, 0, -888, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 6]}
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id: 609119
{'degree': 12, 'field': [119716, 0, -96432, 0, 36645, 0, -6854, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [3, 6]}
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id: 609127
{'degree': 16, 'field': [1, 0, -25, 0, 301, 0, -850, 0, 1246, 0, -850, 0, 301, 0, -25, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [24]}
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id: 609124
{'degree': 16, 'field': [3600, 0, -73920, 0, 357376, 0, -324192, 0, 119544, 0, -21136, 0, 1824, 0, -72, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 8]}
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id: 609123
{'degree': 16, 'field': [30625, 0, 0, 8400, -12974, -2952, 1152, -1248, 2391, 1416, 288, 288, 22, -24, 0, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [4, 12]}
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id: 609125
{'degree': 16, 'field': [41616, 0, -1584, 0, -5316, 0, 19644, 0, 13105, 0, -5696, 0, 774, 0, -44, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [2, 8]}
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id: 609126
{'degree': 16, 'field': [435465, 603720, 389664, -73008, -121136, 56376, -37744, -29664, 17478, 1368, -1184, -48, 192, -24, -16, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [24]}
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id: 609128
{'degree': 18, 'field': [22282396000, 9163140000, 3463496400, -1240913120, -348694920, 124884840, 91194644, -5398080, -3729240, 163360, 306228, 29940, -3235, -360, 627, -20, 15, 0, 1], 'lmfdb_label': '11760.ci2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 253412
{'conductor': 11760, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '11760.ci2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 253413
{'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11760.ci2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 253414
{'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '11760.ci2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 253415
{'conductor': 11760, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11760.ci2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1741981
{'adelic_gens': [[15, 106, 374, 11], [146, 357, 105, 566], [1, 12, 12, 145], [246, 49, 35, 176], [456, 833, 791, 834], [817, 24, 816, 25], [599, 0, 0, 839], [337, 504, 84, 169], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 11760, 'lmfdb_label': '11760.ci2', 'prime': 0}
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id: 56324
{'conductor': 11760, 'elladic_image': '4.6.0.1', 'lmfdb_label': '11760.ci2', 'modell_image': '2B', 'prime': 2}
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id: 56325
{'conductor': 11760, 'elladic_image': '3.4.0.1', 'lmfdb_label': '11760.ci2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 510886
{'lmfdb_iso': '11760.ci', 'p': 13, 'prec': 20, 'unit': 826231148315652059706, 'val': 1}
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id: 510888
{'lmfdb_iso': '11760.ci', 'p': 17, 'prec': 20, 'unit': 123193070121420061459819, 'val': 1}
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id: 510879
{'lmfdb_iso': '11760.ci', 'p': 19, 'prec': 20, 'unit': 1543739058691847217109779, 'val': 1}
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id: 510885
{'lmfdb_iso': '11760.ci', 'p': 29, 'prec': 20, 'unit': 5238931404331463829427084834, 'val': 1}
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id: 510894
{'lmfdb_iso': '11760.ci', 'p': 31, 'prec': 20, 'unit': 7308657473972481686642163541, 'val': 1}
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id: 510882
{'lmfdb_iso': '11760.ci', 'p': 37, 'prec': 20, 'unit': 542463828858201507873139691942, 'val': 1}
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id: 510883
{'lmfdb_iso': '11760.ci', 'p': 41, 'prec': 20, 'unit': 521238158546269866878946282859, 'val': 1}
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id: 510884
{'lmfdb_iso': '11760.ci', 'p': 43, 'prec': 20, 'unit': 8381871807313308973220794937543, 'val': 1}
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id: 510890
{'lmfdb_iso': '11760.ci', 'p': 53, 'prec': 20, 'unit': 140423285399493960464247090761513, 'val': 1}
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id: 510893
{'lmfdb_iso': '11760.ci', 'p': 61, 'prec': 20, 'unit': 1375073649818090831558222376527231, 'val': 1}
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id: 510881
{'lmfdb_iso': '11760.ci', 'p': 67, 'prec': 20, 'unit': 31927327806541499358386264164816601, 'val': 1}
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id: 510891
{'lmfdb_iso': '11760.ci', 'p': 73, 'prec': 20, 'unit': 136837582363016716510593763734148627, 'val': 1}
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id: 510887
{'lmfdb_iso': '11760.ci', 'p': 79, 'prec': 20, 'unit': 969044422621225855831970780255029770, 'val': 1}
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id: 510889
{'lmfdb_iso': '11760.ci', 'p': 83, 'prec': 20, 'unit': 2685391143207460858299667794487881734, 'val': 1}
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id: 510892
{'lmfdb_iso': '11760.ci', 'p': 89, 'prec': 20, 'unit': 84064181548527264322279364137144955, 'val': 1}
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id: 510880
{'lmfdb_iso': '11760.ci', 'p': 97, 'prec': 20, 'unit': 36094634410755509458760736388518014359, 'val': 1}