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ec_curvedata • Show schema
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{'Ciso': '32487l', 'Clabel': '32487l2', 'Cnumber': 2, 'abc_quality': 0.9364282242275584, 'absD': 78658291840401, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 12376, 'ainvs': [1, 0, 0, -26657, -1622160], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 98304, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4349638392305892169973386657', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [17806161424897, 668584449], 'lmfdb_iso': '32487.f', 'lmfdb_label': '32487.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -544, 4496], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '28.24.0-4.b.1.3', '56.48.0-8.d.1.9', '68.24.0.c.1', '104.48.0.?', '136.48.0.?', '476.48.0.?', '728.96.0.?', '952.96.0.?', '1768.96.1.?', '12376.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6426794849659410540227150570', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46200876470293256444466229398', 'prec': 103}, 'szpiro_ratio': 4.060801810486835, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, -1, 2, -1, 0, 3, 1, -2, 4, -1, -1, 0, 2, -1, -1, -1, 4, -2], 'aplist': [-1, 1, 2, 0, 4, -1, -1, 4, 0, -2, 8, -2, -2, -4, -8, -10, -4, -14, -4, 0, 14, -8, 4, 6, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 32487, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '32487.f', 'trace_hash': 1380467224825648488}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.056703027281749446699799914123', 'prec': 107}, 'conductor': 32487, 'gens': [[-83, 184, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6426794849659410540227150570', 'prec': 100}], 'lmfdb_label': '32487.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37449772672391408388559631081', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4567007452143323777180998356224113168', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-108, 54, 1], [-80, 40, 1]], 'xcoord_integral_points': [-108, -83, -80, 2419]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 0], '3': [4, 0], '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '32487.f3'}
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ec_torsion_growth • Show schema
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id: 1617302
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 4]}
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id: 1617303
{'degree': 4, 'field': [2, 22, -21, -2, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 4]}
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id: 1617304
{'degree': 4, 'field': [36, 0, 5, 0, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 4]}
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id: 1617306
{'degree': 8, 'field': [29, -146, 272, -274, 193, -70, 28, -4, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 8]}
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id: 1617305
{'degree': 8, 'field': [72, -288, 470, -390, 261, -82, 32, -4, 1], 'lmfdb_label': '32487.f3', 'torsion': [4, 4]}
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id: 1617307
{'degree': 8, 'field': [1143, -942, 1118, -330, 111, 62, -16, -4, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 8]}
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id: 1617308
{'degree': 8, 'field': [112107, 90543, 19713, 949, -77, -68, -5, -2, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 6]}
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id: 1617312
{'degree': 16, 'field': [85703, -56342, 81112, -77218, 116543, -118140, 80962, -37072, 11852, -3094, 2238, -1216, 506, -168, 44, -8, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 12]}
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id: 1617311
{'degree': 16, 'field': [480249, 0, -896364, 0, 853330, 0, -442188, 0, 132275, 0, -21780, 0, 1874, 0, -72, 0, 1], 'lmfdb_label': '32487.f3', 'torsion': [4, 8]}
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id: 1617310
{'degree': 16, 'field': [1212201, 0, 2206644, 0, 1193278, 0, -47112, 0, -37629, 0, -248, 0, 294, 0, 12, 0, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 8]}
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id: 1617309
{'degree': 16, 'field': [697065604, 0, -135221832, 0, -29777648, 0, 6770628, 0, 153213, 0, -82944, 0, 4222, 0, -108, 0, 1], 'lmfdb_label': '32487.f3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 759850
{'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '32487.f3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 759851
{'conductor': 32487, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '32487.f3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 759852
{'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '32487.f3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 759853
{'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.f3', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1881143
{'adelic_gens': [[8569, 8848, 7756, 10641], [5, 4, 12372, 12373], [5307, 1330, 1764, 5741], [1, 0, 8, 1], [12369, 8, 12368, 9], [5303, 0, 0, 12375], [4425, 448, 5740, 9717], [4271, 5306, 10486, 8835], [1, 8, 0, 1]], 'adelic_image': '12376.192.1.?', 'conductor': 32487, 'lmfdb_label': '32487.f3', 'prime': 0}
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id: 145236
{'conductor': 32487, 'elladic_image': '8.24.0.15', 'lmfdb_label': '32487.f3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 1583818
{'lmfdb_iso': '32487.f', 'p': 5, 'prec': 20, 'unit': 208097374654, 'val': 3}
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id: 1583810
{'lmfdb_iso': '32487.f', 'p': 11, 'prec': 20, 'unit': 56117109237832116607, 'val': 1}
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id: 1583812
{'lmfdb_iso': '32487.f', 'p': 19, 'prec': 20, 'unit': 1862124310240784232905781, 'val': 1}
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id: 1583808
{'lmfdb_iso': '32487.f', 'p': 29, 'prec': 20, 'unit': 5440720905961847708703138444, 'val': 1}
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id: 1583805
{'lmfdb_iso': '32487.f', 'p': 31, 'prec': 20, 'unit': 15333579921312198027309620673, 'val': 1}
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id: 1583804
{'lmfdb_iso': '32487.f', 'p': 37, 'prec': 20, 'unit': 41874851266576493547010385636, 'val': 1}
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id: 1583806
{'lmfdb_iso': '32487.f', 'p': 41, 'prec': 20, 'unit': 64295485837574418853878239990, 'val': 2}
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id: 1583807
{'lmfdb_iso': '32487.f', 'p': 43, 'prec': 20, 'unit': 287860237892022979344432289758, 'val': 1}
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id: 1583816
{'lmfdb_iso': '32487.f', 'p': 47, 'prec': 20, 'unit': 38695155028340275715157919840086, 'val': 1}
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id: 1583813
{'lmfdb_iso': '32487.f', 'p': 53, 'prec': 20, 'unit': 410794676426419149860792767321114, 'val': 1}
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id: 1583811
{'lmfdb_iso': '32487.f', 'p': 59, 'prec': 20, 'unit': 1964032332891863088545071323159040, 'val': 1}
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id: 1583817
{'lmfdb_iso': '32487.f', 'p': 61, 'prec': 20, 'unit': 3826141537543479739358611040698139, 'val': 1}
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id: 1583803
{'lmfdb_iso': '32487.f', 'p': 67, 'prec': 20, 'unit': 85573481296375538589988255761583, 'val': 2}
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id: 1583814
{'lmfdb_iso': '32487.f', 'p': 73, 'prec': 20, 'unit': 59656502008156508362265067689294414, 'val': 1}
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id: 1583809
{'lmfdb_iso': '32487.f', 'p': 79, 'prec': 20, 'unit': 630143241831897830464673720596727309, 'val': 1}
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id: 1583802
{'lmfdb_iso': '32487.f', 'p': 83, 'prec': 20, 'unit': 1308170691885597273506562041848301159, 'val': 1}
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id: 1583815
{'lmfdb_iso': '32487.f', 'p': 89, 'prec': 20, 'unit': 924745863117414905201503641465648120, 'val': 1}
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id: 1583801
{'lmfdb_iso': '32487.f', 'p': 97, 'prec': 20, 'unit': 15052686215865498625824087192855881653, 'val': 1}