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ec_curvedata • Show schema
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{'Ciso': '26912a', 'Clabel': '26912a3', 'Cnumber': 3, 'abc_quality': 1.172456969504371, 'absD': 304549540352, 'ainvs': [0, 0, 0, -9251, -341446], 'analytic_rank': 1, 'bad_primes': [2, 29], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 26912, 'degree': 22400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0662621696416728047565930543', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '26912.d', 'lmfdb_label': '26912.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 29, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.687425461398050817066678045', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [29, 422, 32]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670530', 'prec': 103}, 'szpiro_ratio': 3.824491281379356, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, -2, 0, 0, 6, -2, 0, 0, 0, 0, 2, -10, 0, 0, 14, 0, 10, 0, 0, 6, 0, 0, -10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 26912, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '26912.d', 'trace_hash': 1595023086173870896}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11853768651759263495672578931', 'prec': 103}, 'conductor': 26912, 'gens': [[1392722129, 51975262257633, 70]], 'heights': [{'__RealLiteral__': 0, 'data': '17.687425461398050817066678045', 'prec': 100}], 'lmfdb_label': '26912.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48690386426396871420573907844', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3060379030178103707766087081597767594', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-58, 0, 1]], 'xcoord_integral_points': [-58]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [3, 0], '7': [3, 1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [3, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': 'a', '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '26912.d1'}
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ec_torsion_growth • Show schema
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id: 1348261
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 2]}
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id: 1348262
{'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [4]}
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id: 1348263
{'degree': 2, 'field': [58, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [4]}
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id: 1348264
{'degree': 4, 'field': [225, 0, 28, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 4]}
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id: 1348268
{'degree': 8, 'field': [-101306, -65860, -8564, 2336, -1244, -16, 10, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [6]}
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id: 1348265
{'degree': 8, 'field': [2151, 1548, -1258, -552, 207, 80, -22, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 4]}
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id: 1348266
{'degree': 8, 'field': [4385, 664, 1488, 64, 301, -4, 26, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [8]}
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id: 1348267
{'degree': 8, 'field': [16129, 0, 5488, 0, 980, 0, 56, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 8]}
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id: 1348269
{'degree': 8, 'field': [221957, -61436, 4598, 1568, 248, -56, 2, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [10]}
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id: 1348270
{'degree': 16, 'field': [1883961, 2581032, -690112, -3010200, -246736, 1628920, 178344, -488512, -28543, 83016, -68, -7896, 406, 392, -36, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [4, 4]}
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id: 1348271
{'degree': 16, 'field': [3354017, -5476788, 9180772, -8681956, 7774012, -4842712, 2906736, -1288668, 562021, -181976, 59460, -13860, 3402, -532, 96, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 8]}
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id: 1348277
{'degree': 16, 'field': [5831233, 3217840, -6489990, -2135188, 3525998, 520084, -1069318, -56116, 195663, 1804, -22270, 124, 1548, -8, -60, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [20]}
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id: 1348276
{'degree': 16, 'field': [16221262, 5161380, 14058760, 3699192, 5581516, 989940, 1288486, 117336, 190303, 4776, 18910, -144, 1264, -12, 52, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [12]}
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id: 1348279
{'degree': 16, 'field': [130540426, 49694168, -43104924, -31347904, 5959732, 4439112, 88740, -214152, -47460, -1500, 6036, -1616, 42, 0, 28, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [20]}
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id: 1348274
{'degree': 16, 'field': [982324222, 822291096, -595524124, -313568160, 126831832, 42714168, -9402844, -3271368, 203764, 86292, 16664, 1992, -746, -168, -4, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 6]}
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id: 1348278
{'degree': 16, 'field': [1922471716, 0, 1085472656, 0, 262742944, 0, 36133208, 0, 3103948, 0, 170816, 0, 5884, 0, 116, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [12]}
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id: 1348273
{'degree': 16, 'field': [2161415756, 3108958744, 1074369456, -25838080, -249305192, -46354560, 1464184, 4616304, -865162, -289604, -34076, 6160, -392, 120, 6, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [10]}
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id: 1348275
{'degree': 16, 'field': [3033744226, 1738067736, -1311871164, -709164960, 273954732, 124177976, -33610940, -12020520, 2531900, 720676, -121252, -28272, 3962, 672, -84, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 10]}
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id: 1348272
{'degree': 16, 'field': [17670518461, 5049669244, 605757782, 344179248, 429131366, 15400208, -3667442, 4363332, 1053955, -280272, 25054, 3052, -3220, 168, 8, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [3, 6]}
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ec_localdata • Show schema
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id: 620150
{'conductor': 26912, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26912.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 620151
{'conductor': 26912, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26912.d1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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lmfdb_label 26912.d1 does not appear in ec_galrep
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ec_padic • Show schema
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id: 1285653
{'lmfdb_iso': '26912.d', 'p': 5, 'prec': 20, 'unit': 1730556869721, 'val': 2}
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id: 1285647
{'lmfdb_iso': '26912.d', 'p': 13, 'prec': 20, 'unit': 95412602748053120514, 'val': 2}
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id: 1285648
{'lmfdb_iso': '26912.d', 'p': 17, 'prec': 20, 'unit': 3382160916690730420645, 'val': 2}
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id: 1285645
{'lmfdb_iso': '26912.d', 'p': 37, 'prec': 20, 'unit': 191929302606298976368145177701, 'val': 1}
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id: 1285646
{'lmfdb_iso': '26912.d', 'p': 41, 'prec': 20, 'unit': 3081610038410885853729297265, 'val': 1}
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id: 1285649
{'lmfdb_iso': '26912.d', 'p': 53, 'prec': 20, 'unit': 272725165385096904026567012719635, 'val': 1}
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id: 1285652
{'lmfdb_iso': '26912.d', 'p': 61, 'prec': 20, 'unit': 1178644359710738120179948183723992, 'val': 1}
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id: 1285650
{'lmfdb_iso': '26912.d', 'p': 73, 'prec': 20, 'unit': 244580400990973421815433905376890716, 'val': 1}
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id: 1285651
{'lmfdb_iso': '26912.d', 'p': 89, 'prec': 20, 'unit': 8168581916616076349483828802818565540, 'val': 1}
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id: 1285644
{'lmfdb_iso': '26912.d', 'p': 97, 'prec': 20, 'unit': 15476218598460396813184116251228139281, 'val': 1}