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ec_curvedata • Show schema
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{'Ciso': '37440cj', 'Clabel': '37440cj1', 'Cnumber': 1, 'abc_quality': 1.0003394075128273, 'absD': 10443616637875200, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -82632, 7707944], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 196608, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7948329630832666656555807341', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 149, 'isogeny_degrees': [1, 2, 4], 'jinv': [83587439220736, 13990184325], 'lmfdb_iso': '37440.ft', 'lmfdb_label': '37440.ft4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2295, -36450], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.i.1', '24.24.0-8.o.1.5', '26.6.0.b.1', '48.48.0-16.i.1.4', '52.12.0.g.1', '104.24.0.?', '208.48.1.?', '312.48.0.?', '520.48.0.?', '624.96.1.?', '1040.96.3.?', '1560.96.0.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7223692653673353658809204067', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66790416828259072877693134776', 'prec': 103}, 'szpiro_ratio': 4.328387242405017, '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, 1, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 1, 4, 0, -1, -2, 0, 0, -2, -4, -6, 6, -4, 4, -10, 0, 2, -8, -4, -6, -8, 8, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '37440.ft', 'trace_hash': 1345695889946886718}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.027607551843522906162831101699', 'prec': 107}, 'conductor': 37440, 'gens': [[458, 8120, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7223692653673353658809204067', 'prec': 100}], 'lmfdb_label': '37440.ft4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38775803520918514343170798074', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3245465114843240270933889470712135432', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-326, 0, 1]], 'xcoord_integral_points': [-326, 458]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.ft4'}
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ec_torsion_growth • Show schema
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id: 1851531
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 2]}
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id: 1851532
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [4]}
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id: 1851533
{'degree': 2, 'field': [78, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [4]}
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id: 1851534
{'degree': 4, 'field': [87, -6, 7, -2, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 4]}
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id: 1851538
{'degree': 8, 'field': [-1587, 0, 780, 0, -18, 0, -14, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [6]}
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id: 1851536
{'degree': 8, 'field': [25, 20, -54, -28, 80, -32, -2, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [8]}
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id: 1851535
{'degree': 8, 'field': [83521, 0, -24264, 0, -434, 0, -24, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 4]}
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id: 1851537
{'degree': 8, 'field': [564001, 0, -9406, 0, 4311, 0, -106, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 8]}
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id: 1851543
{'degree': 16, 'field': [-279933, 1208292, 633708, -2812104, -694644, 2304792, -423214, -268232, 38151, 11124, 5198, -3144, -204, 308, -24, -8, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 6]}
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id: 1851542
{'degree': 16, 'field': [90, -360, 5964, -5928, -3212, 8624, -92, -5504, 1480, 2276, -664, -520, 178, 76, -20, -4, 1], 'lmfdb_label': '37440.ft4', 'torsion': [16]}
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id: 1851540
{'degree': 16, 'field': [529, -3772, 9378, -7472, -3750, 4500, 3958, -1244, -2697, 128, 1642, -660, -72, 56, 12, -8, 1], 'lmfdb_label': '37440.ft4', 'torsion': [2, 8]}
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id: 1851545
{'degree': 16, 'field': [2722500, 0, 585000, 0, 373500, 0, 1903800, 0, 135600, 0, 5340, 0, 1096, 0, 50, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [12]}
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id: 1851541
{'degree': 16, 'field': [4684705, 2879380, 1759444, 1599948, 1652786, 667000, 220020, 136916, 93700, 16492, -4524, -1396, 710, 144, -32, -4, 1], 'lmfdb_label': '37440.ft4', 'torsion': [16]}
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id: 1851544
{'degree': 16, 'field': [6734025, 0, 108919800, 0, 8800740, 0, 2012916, 0, 51054, 0, 12576, 0, 328, 0, 20, 0, 1], 'lmfdb_label': '37440.ft4', 'torsion': [12]}
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id: 1851539
{'degree': 16, 'field': [13505625, 23152500, 19845000, -23404500, 12890350, -857400, -131400, 9860, 53711, -29944, 5288, -1900, 366, -60, 32, -8, 1], 'lmfdb_label': '37440.ft4', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 883546
{'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '37440.ft4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 883547
{'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '37440.ft4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 883548
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.ft4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 883549
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.ft4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1914341
{'adelic_gens': [[1039, 0, 0, 3119], [1, 16, 0, 1], [15, 166, 2834, 3075], [1879, 1050, 1638, 1003], [1, 8, 8, 65], [3119, 2064, 1812, 1691], [787, 270, 2352, 853], [328, 9, 423, 1066], [1, 0, 16, 1], [3105, 16, 3104, 17]], 'adelic_image': '3120.192.3.?', 'conductor': 37440, 'lmfdb_label': '37440.ft4', 'prime': 0}
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id: 165610
{'conductor': 37440, 'elladic_image': '16.24.0.15', 'lmfdb_label': '37440.ft4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1844539
{'lmfdb_iso': '37440.ft', 'p': 7, 'prec': 20, 'unit': 11205783679154933, 'val': 1}
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id: 1844544
{'lmfdb_iso': '37440.ft', 'p': 17, 'prec': 20, 'unit': 92525214138267668411353, 'val': 1}
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id: 1844542
{'lmfdb_iso': '37440.ft', 'p': 29, 'prec': 20, 'unit': 2062106040271695620363165831, 'val': 1}
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id: 1844552
{'lmfdb_iso': '37440.ft', 'p': 31, 'prec': 20, 'unit': 12536264178200181753233366359, 'val': 1}
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id: 1844538
{'lmfdb_iso': '37440.ft', 'p': 37, 'prec': 20, 'unit': 560957940661820839604983102096, 'val': 1}
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id: 1844540
{'lmfdb_iso': '37440.ft', 'p': 41, 'prec': 20, 'unit': 3990436647749062011477935466104, 'val': 1}
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id: 1844541
{'lmfdb_iso': '37440.ft', 'p': 43, 'prec': 20, 'unit': 2050899471146627401196095713759, 'val': 1}
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id: 1844543
{'lmfdb_iso': '37440.ft', 'p': 47, 'prec': 20, 'unit': 33035345747969413198716746779414, 'val': 1}
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id: 1844546
{'lmfdb_iso': '37440.ft', 'p': 53, 'prec': 20, 'unit': 334451868037250335341004246094720, 'val': 1}
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id: 1844551
{'lmfdb_iso': '37440.ft', 'p': 61, 'prec': 20, 'unit': 5756419938528321289780853726741099, 'val': 1}
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id: 1844537
{'lmfdb_iso': '37440.ft', 'p': 67, 'prec': 20, 'unit': 48435124247055212293816304282900818, 'val': 1}
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id: 1844549
{'lmfdb_iso': '37440.ft', 'p': 71, 'prec': 20, 'unit': 65168811083119546537813841367073689, 'val': 1}
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id: 1844547
{'lmfdb_iso': '37440.ft', 'p': 73, 'prec': 20, 'unit': 124842598189076724083188220597559006, 'val': 1}
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id: 1844550
{'lmfdb_iso': '37440.ft', 'p': 79, 'prec': 20, 'unit': 626901307242618161794504631693765301, 'val': 1}
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id: 1844545
{'lmfdb_iso': '37440.ft', 'p': 83, 'prec': 20, 'unit': 2219126933704640577704043726818095761, 'val': 1}
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id: 1844548
{'lmfdb_iso': '37440.ft', 'p': 89, 'prec': 20, 'unit': 1839291576766883053991911073802969872, 'val': 1}
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id: 1844536
{'lmfdb_iso': '37440.ft', 'p': 97, 'prec': 20, 'unit': 8920989794786486698992347248319331, 'val': 1}