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ec_curvedata • Show schema
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{'Ciso': '35490bl', 'Clabel': '35490bl4', 'Cnumber': 4, 'abc_quality': 1.0492593576333011, 'absD': 22972346906015502720270, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -7117608, -493126112], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35490, 'degree': 3440640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9802847817817677745664378088', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [8261629364934163009, 4759323790524030], 'lmfdb_iso': '35490.bp', 'lmfdb_label': '35490.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -42116, -227694], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.bb.1', '104.12.0.?', '120.12.0.?', '728.24.0.?', '780.12.0.?', '840.24.0.?', '1560.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1384244341100272878316398967', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2535], [3, 4, 11830], [5, 6, 2366], [7, 8, 5070], [13, 98, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6978101030509994065396940880', 'prec': 100}, 'szpiro_ratio': 5.626402071769989, '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, -1, -1, 1, -1, 0, 1, 0, 1, 1, 1, 2, -1, -4, 1], 'aplist': [-1, 1, 1, -1, 0, 0, 2, -4, -8, 10, -4, -10, -6, 0, 4, -2, -4, 10, 8, 8, 10, 0, -12, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 35490, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35490.bp', 'trace_hash': 1724901047386925840}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0025784429665564919675513070757', 'prec': 110}, 'conductor': 35490, 'gens': [[3302, 107937, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1384244341100272878316398967', 'prec': 100}], 'lmfdb_label': '35490.bp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10065679503778642041714654222', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1721733508136669010469517406140430695', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[10807, -10811, 2]], 'xcoord_integral_points': [3302]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35490.bp1'}
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ec_torsion_growth • Show schema
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id: 1760717
{'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4]}
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id: 1760716
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 2]}
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id: 1760718
{'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4]}
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id: 1760719
{'degree': 4, 'field': [1, 0, -28, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 4]}
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id: 1760723
{'degree': 8, 'field': [-146754, -12411, 13752, -2683, 1345, -7, 7, -4, 1], 'lmfdb_label': '35490.bp1', 'torsion': [6]}
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id: 1760721
{'degree': 8, 'field': [1, 0, -139, 0, 396, 0, -139, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [8]}
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id: 1760722
{'degree': 8, 'field': [6140, 2800, 5096, -672, 408, -56, -28, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [8]}
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id: 1760720
{'degree': 8, 'field': [99376, 69120, 26576, 6720, 156, -240, -4, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 4]}
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id: 1760725
{'degree': 16, 'field': [14400, 0, -187200, 0, 763440, 0, -1063920, 0, 498676, 0, -68744, 0, 3996, 0, -104, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 8]}
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id: 1760724
{'degree': 16, 'field': [38576521, -53663040, 37324800, -18267600, 10551226, -5989320, 2448000, -481440, 27231, -7320, 7200, 1440, -74, -120, 0, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4, 4]}
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id: 1760729
{'degree': 16, 'field': [78428736, 0, -136832328, 0, 236540196, 0, -99842696, 0, 4429676, 0, -10124, 0, -584, 0, -52, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [12]}
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id: 1760726
{'degree': 16, 'field': [305585361, 0, -224124144, 0, 80285692, 0, -16772400, 0, 2176086, 0, -170320, 0, 7452, 0, -144, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 8]}
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id: 1760728
{'degree': 16, 'field': [7349285880, -39811321380, 67580871985, -27711477430, -11706470990, -4714339670, -2040822511, -309049484, 25283175, 2070120, 506757, 255244, -1387, 1750, 160, -4, 1], 'lmfdb_label': '35490.bp1', 'torsion': [12]}
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id: 1760727
{'degree': 16, 'field': [4839172161606, 348249415068, -384047786835, 71636683140, -35893491840, 22309974, 101849647, -86098160, 12247665, 5886410, -882493, -156504, 22535, 1610, -210, -8, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 834732
{'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.bp1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 834733
{'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '35490.bp1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 834734
{'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.bp1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 834735
{'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '35490.bp1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 834736
{'conductor': 35490, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '35490.bp1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1901180
{'adelic_gens': [[1964, 6721, 8983, 846], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1, 4, 4, 17], [4096, 8723, 6409, 8958], [7801, 10088, 3484, 7593], [6719, 0, 0, 10919], [7, 6, 10914, 10915], [3888, 5993, 3913, 7320], [508, 6721, 6071, 846]], 'adelic_image': '10920.48.0.?', 'conductor': 35490, 'lmfdb_label': '35490.bp1', 'prime': 0}
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id: 157542
{'conductor': 35490, 'elladic_image': '4.6.0.1', 'lmfdb_label': '35490.bp1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1741584
{'lmfdb_iso': '35490.bp', 'p': 17, 'prec': 20, 'unit': 60791038674827324452506, 'val': 1}
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id: 1741575
{'lmfdb_iso': '35490.bp', 'p': 19, 'prec': 20, 'unit': 362808638867980276732669, 'val': 1}
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id: 1741581
{'lmfdb_iso': '35490.bp', 'p': 23, 'prec': 20, 'unit': 12560069839589102522331952, 'val': 1}
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id: 1741582
{'lmfdb_iso': '35490.bp', 'p': 29, 'prec': 20, 'unit': 211841638175829389708422824, 'val': 1}
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id: 1741591
{'lmfdb_iso': '35490.bp', 'p': 31, 'prec': 20, 'unit': 21252371042459046606283420434, 'val': 1}
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id: 1741578
{'lmfdb_iso': '35490.bp', 'p': 37, 'prec': 20, 'unit': 7497623388242219645973255158, 'val': 2}
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id: 1741580
{'lmfdb_iso': '35490.bp', 'p': 41, 'prec': 20, 'unit': 2663837872994540350538747932905, 'val': 1}
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id: 1741583
{'lmfdb_iso': '35490.bp', 'p': 47, 'prec': 20, 'unit': 20475052336452404301787361035647, 'val': 1}
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id: 1741586
{'lmfdb_iso': '35490.bp', 'p': 53, 'prec': 20, 'unit': 291032772861838334505939808969010, 'val': 1}
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id: 1741589
{'lmfdb_iso': '35490.bp', 'p': 59, 'prec': 20, 'unit': 2648406234336998206190936674716416, 'val': 1}
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id: 1741590
{'lmfdb_iso': '35490.bp', 'p': 61, 'prec': 20, 'unit': 6321771078384926453081481340725065, 'val': 1}
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id: 1741577
{'lmfdb_iso': '35490.bp', 'p': 67, 'prec': 20, 'unit': 48980798736622380310010693676542241, 'val': 1}
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id: 1741579
{'lmfdb_iso': '35490.bp', 'p': 71, 'prec': 20, 'unit': 29421695558158208821814167018396919, 'val': 1}
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id: 1741587
{'lmfdb_iso': '35490.bp', 'p': 73, 'prec': 20, 'unit': 80946627454815404045993213892776716, 'val': 1}
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id: 1741585
{'lmfdb_iso': '35490.bp', 'p': 83, 'prec': 20, 'unit': 1060436286651379946849980476372965304, 'val': 1}
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id: 1741588
{'lmfdb_iso': '35490.bp', 'p': 89, 'prec': 20, 'unit': 5954305257702843499743589987458774178, 'val': 1}
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id: 1741576
{'lmfdb_iso': '35490.bp', 'p': 97, 'prec': 20, 'unit': 34036355654679597935195993841483726359, 'val': 1}