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ec_curvedata • Show schema
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{'Ciso': '34650b', 'Clabel': '34650b3', 'Cnumber': 3, 'abc_quality': 0.9444576321958399, 'absD': 290093589843750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [1, -1, 0, -59442, -26492284], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34650, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0325061293765596012480185312', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-75526045083, 943250000], 'lmfdb_iso': '34650.m', 'lmfdb_label': '34650.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -264, 7920], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.2', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '60.48.0-60.s.1.12', '462.24.0.?', '924.48.0.?', '1540.6.0.?', '2310.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '12.321011699597641681786996443', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40382795665842714540120493689', 'prec': 103}, 'szpiro_ratio': 4.564120667490691, '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, 0, 0, -1, -1, 0, 0, 1, 0, -2, 1, 0, 1, -6, 0, -4, 0], 'aplist': [-1, 0, 0, -1, 1, -2, -6, -4, -6, -6, 2, -2, -12, -8, -12, 6, 12, -10, 4, -12, -2, -10, -18, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 34650, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '34650.m', 'trace_hash': 1330342663362935244}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.017162778878043966224531359367', 'prec': 107}, 'conductor': 34650, 'gens': [[904, 25198, 1], [1579, 60973, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0637183693621488894959173646', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.2291853686257212765352914841', 'prec': 100}], 'lmfdb_label': '34650.m3', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13134903765612297859379970499', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4734121187679296720113663852642785929', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[364, -182, 1]], 'xcoord_integral_points': [364, 380, 904, 989, 1579, 14288]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '34650.m3'}
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ec_torsion_growth • Show schema
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id: 1718676
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '34650.m3', 'torsion': [6]}
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id: 1718675
{'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 2]}
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id: 1718677
{'degree': 4, 'field': [-131, 4, -3, -2, 1], 'lmfdb_label': '34650.m3', 'torsion': [4]}
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id: 1718678
{'degree': 4, 'field': [1464, 153, -17, -1, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 6]}
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id: 1718679
{'degree': 6, 'field': [571, -201, 66, -39, 0, -3, 1], 'lmfdb_label': '34650.m3', 'torsion': [6]}
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id: 1718682
{'degree': 8, 'field': [3361, 784, -737, 70, 136, -20, 7, -2, 1], 'lmfdb_label': '34650.m3', 'torsion': [12]}
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id: 1718680
{'degree': 8, 'field': [390625, 0, 53125, 0, 4500, 0, 85, 0, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 4]}
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id: 1718681
{'degree': 8, 'field': [393376, -28808, 36422, -15170, 7441, 170, -52, -4, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 4]}
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id: 1718683
{'degree': 12, 'field': [326041, -114771, 2715, 31272, -3483, -4287, 2060, 195, -183, 78, 9, -3, 1], 'lmfdb_label': '34650.m3', 'torsion': [3, 6]}
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id: 1718684
{'degree': 12, 'field': [8327641345, -470827230, 164107689, -108653742, 4032702, -1520502, 519461, -10302, 5118, -1134, 9, -6, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 6]}
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id: 1718685
{'degree': 16, 'field': [19448100, 0, -35073000, 0, -12621555, 0, -1149930, 0, -38709, 0, -1044, 0, 291, 0, 6, 0, 1], 'lmfdb_label': '34650.m3', 'torsion': [8]}
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id: 1718686
{'degree': 16, 'field': [100000000, 0, 17000000, 0, -1040000, 0, 756500, 0, 326725, 0, 7565, 0, -104, 0, 17, 0, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 12]}
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id: 1718687
{'degree': 16, 'field': [886509640, -234631800, -292623244, 68458792, 75713678, -26527758, -2541403, 860526, 634957, -138852, -24053, 302, 1773, 266, -71, -4, 1], 'lmfdb_label': '34650.m3', 'torsion': [2, 12]}
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id: 1718688
{'degree': 18, 'field': [8176434087024, -4115419839216, -98212460472, 2872916898012, 1240640475480, 40120841754, -63964263411, -10371535002, 1024699842, 340784595, 36657603, -4562352, -1424619, -60426, 30645, 1257, -288, -6, 1], 'lmfdb_label': '34650.m3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 812854
{'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '34650.m3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 812855
{'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '34650.m3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 812856
{'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '34650.m3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 812857
{'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '34650.m3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 812858
{'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.m3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1895619
{'adelic_gens': [[4609, 12, 4608, 13], [4239, 2698, 1946, 401], [1528, 4609, 1575, 32], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 4570, 4611], [2110, 3, 1233, 4612], [923, 4608, 918, 4547], [1990, 3, 633, 4612]], 'adelic_image': '4620.96.1.?', 'conductor': 34650, 'lmfdb_label': '34650.m3', 'prime': 0}
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id: 154240
{'conductor': 34650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34650.m3', 'modell_image': '2B', 'prime': 2}
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id: 154241
{'conductor': 34650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '34650.m3', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 1694850
{'lmfdb_iso': '34650.m', 'p': 13, 'prec': 20, 'unit': 558687540102592768084, 'val': 2}
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id: 1694852
{'lmfdb_iso': '34650.m', 'p': 17, 'prec': 20, 'unit': 154538048697325473889679, 'val': 2}
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id: 1694853
{'lmfdb_iso': '34650.m', 'p': 19, 'prec': 20, 'unit': 1406629789883141151455700, 'val': 2}
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id: 1694857
{'lmfdb_iso': '34650.m', 'p': 23, 'prec': 20, 'unit': 1818017408886807658360301, 'val': 2}
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id: 1694849
{'lmfdb_iso': '34650.m', 'p': 29, 'prec': 20, 'unit': 4418560682050886649174782624, 'val': 2}
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id: 1694861
{'lmfdb_iso': '34650.m', 'p': 31, 'prec': 20, 'unit': 4963466277928780624179391631, 'val': 2}
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id: 1694845
{'lmfdb_iso': '34650.m', 'p': 37, 'prec': 20, 'unit': 460128878991198757205657904462, 'val': 2}
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id: 1694847
{'lmfdb_iso': '34650.m', 'p': 41, 'prec': 20, 'unit': 2978451817744655937100218605434, 'val': 2}
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id: 1694848
{'lmfdb_iso': '34650.m', 'p': 43, 'prec': 20, 'unit': 4262115477050053895941308009521, 'val': 2}
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id: 1694859
{'lmfdb_iso': '34650.m', 'p': 47, 'prec': 20, 'unit': 4878311320895705092388533670637, 'val': 2}
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id: 1694854
{'lmfdb_iso': '34650.m', 'p': 53, 'prec': 20, 'unit': 532566476969230924526074509388248, 'val': 2}
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id: 1694855
{'lmfdb_iso': '34650.m', 'p': 59, 'prec': 20, 'unit': 3591862590487558608293068953904836, 'val': 2}
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id: 1694860
{'lmfdb_iso': '34650.m', 'p': 61, 'prec': 20, 'unit': 6242469946855627055897384786097547, 'val': 2}
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id: 1694844
{'lmfdb_iso': '34650.m', 'p': 67, 'prec': 20, 'unit': 41115457804295405449797970720124855, 'val': 2}
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id: 1694846
{'lmfdb_iso': '34650.m', 'p': 71, 'prec': 20, 'unit': 121941714164340498954219359034604960, 'val': 2}
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id: 1694856
{'lmfdb_iso': '34650.m', 'p': 73, 'prec': 20, 'unit': 209955327090964421585599632084833351, 'val': 2}
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id: 1694851
{'lmfdb_iso': '34650.m', 'p': 79, 'prec': 20, 'unit': 921661191169071929452185859518702817, 'val': 2}
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id: 1694843
{'lmfdb_iso': '34650.m', 'p': 83, 'prec': 20, 'unit': 2675075929801296098060656246888640967, 'val': 2}
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id: 1694858
{'lmfdb_iso': '34650.m', 'p': 89, 'prec': 20, 'unit': 6666303229109411968426985105342809468, 'val': 2}
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id: 1694842
{'lmfdb_iso': '34650.m', 'p': 97, 'prec': 20, 'unit': 220099236567166343238159218367770086, 'val': 3}