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ec_curvedata • Show schema
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{'Ciso': '333270bv', 'Clabel': '333270bv6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 339942213705150, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 38640, 'ainvs': [1, -1, 0, -79984899, -275314176257], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 333270, 'degree': 23068672, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8538106817727616445624260824', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '333270.bv', 'lmfdb_label': '333270.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '56.24.0.bh.1', '112.48.0.?', '120.24.0.?', '240.48.0.?', '276.12.0.?', '552.24.0.?', '840.48.0.?', '920.24.0.?', '1104.48.0.?', '1680.96.1.?', '1840.48.0.?', '2760.48.0.?', '3864.48.0.?', '5520.96.0.?', '6440.48.0.?', '7728.96.0.?', '12880.96.0.?', '19320.96.0.?', '38640.192.1.?'], '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': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704803', 'prec': 103}, 'szpiro_ratio': 5.206193848965687, '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, 1, 0, -1, -1, 0, -1, 4, 0, -2, 1, 0, 1, 2, 0, 4, 1], 'aplist': [-1, 0, 1, -1, 4, -2, 2, 4, 0, -6, -8, 2, -2, 12, 8, 6, -4, 2, -12, -8, -14, 0, 12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 333270, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '333270.bv', 'trace_hash': 1510274243288535999}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0033205615674155931663111856049', 'prec': 110}, 'conductor': 333270, 'gens': [], 'heights': [], 'lmfdb_label': '333270.bv1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.050483278849405086374639692212', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6154649231809627639884701507954725879', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-20653, 20653, 2]], 'xcoord_integral_points': []}
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lmfdb_label 333270.bv1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13969955
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 2]}
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id: 13969957
{'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [4]}
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id: 13969956
{'degree': 2, 'field': [966, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [4]}
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id: 13969960
{'degree': 4, 'field': [441, 0, 27, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [8]}
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id: 13969958
{'degree': 4, 'field': [6889, 0, 110, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 4]}
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id: 13969959
{'degree': 4, 'field': [77841, 0, -282, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [8]}
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id: 13969965
{'degree': 8, 'field': [42195, -177405, -20415, -13122, 1026, -720, 41, -1, 1], 'lmfdb_label': '333270.bv1', 'torsion': [6]}
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id: 13969962
{'degree': 8, 'field': [122889, 8004, -6158, -3624, 1643, 200, -62, -4, 1], 'lmfdb_label': '333270.bv1', 'torsion': [8]}
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id: 13969963
{'degree': 8, 'field': [1030225, 0, 55930, 0, 2031, 0, -2, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 8]}
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id: 13969961
{'degree': 8, 'field': [7967971, 674852, -679418, 9200, -4769, 200, -62, -4, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 4]}
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id: 13969964
{'degree': 8, 'field': [12713841, 181440, -215136, 23760, 11061, -180, -126, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [16]}
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id: 13969970
{'degree': 16, 'field': [-3558274010605, 912124896390, 23718590155, -64870853414, 11561647165, 129315624, 920017126, -101554824, -26452714, 84392, 418658, -48360, 4823, -1326, -29, -2, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 6]}
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id: 13969971
{'degree': 16, 'field': [3444560113, -11600569126, 32250790139, -36516327410, 34519221637, 483121440, 1351799540, -267527876, 5122522, -2389660, 971420, -51048, -875, -1438, 83, -2, 1], 'lmfdb_label': '333270.bv1', 'torsion': [12]}
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id: 13969967
{'degree': 16, 'field': [5573966281, 0, 3623608940, 0, 810389150, 0, 92164800, 0, 6512831, 0, 294840, 0, 8450, 0, 140, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 8]}
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id: 13969972
{'degree': 16, 'field': [7992360000, 0, 3509101125, 0, 730787950, 0, 86108439, 0, 6227007, 0, 287359, 0, 8331, 0, 138, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [12]}
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id: 13969969
{'degree': 16, 'field': [2805453212065, -305020777180, 320208452480, -30894226860, 16757717096, -1610410832, 600010420, -54988620, 14804281, -771000, 219496, -34420, 4766, 420, -40, -8, 1], 'lmfdb_label': '333270.bv1', 'torsion': [2, 16]}
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id: 13969966
{'degree': 16, 'field': [63488561856841, 0, 11282591063660, 0, 373193034526, 0, -5137679680, 0, 124645951, 0, 733880, 0, -4094, 0, 140, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [4, 4]}
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id: 13969968
{'degree': 16, 'field': [8889107969228356, 0, -511498985716832, 0, 15764311782508, 0, -276863474264, 0, 4402659565, 0, -52502684, 0, 356458, 0, -932, 0, 1], 'lmfdb_label': '333270.bv1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 8249479
{'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333270.bv1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8249480
{'conductor': 333270, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '333270.bv1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8249481
{'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '333270.bv1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8249482
{'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333270.bv1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8249483
{'conductor': 333270, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '333270.bv1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3749126
{'adelic_gens': [[1, 16, 0, 1], [15, 2, 38542, 38627], [31919, 0, 0, 38639], [7267, 26864, 8096, 10395], [1, 0, 16, 1], [17228, 20585, 14283, 17642], [5, 4, 38636, 38637], [38625, 16, 38624, 17], [18976, 30245, 9315, 25186], [26221, 11776, 27968, 28245], [31718, 20585, 28773, 17642]], 'adelic_image': '38640.192.1.?', 'conductor': 333270, 'lmfdb_label': '333270.bv1', 'prime': 0}
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id: 1159944
{'conductor': 333270, 'elladic_image': '16.24.0.1', 'lmfdb_label': '333270.bv1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 333270.bv does not appear in ec_padic