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ec_curvedata • Show schema
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{'Ciso': '43758w', 'Clabel': '43758w4', 'Cnumber': 4, 'abc_quality': 0.9818166830550068, 'absD': 550124414391516224832, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2652, 'ainvs': [1, -1, 1, -5606915, 5234671811], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 43758, 'degree': 2820096, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7599019221567172965276622815', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-26740407923656692603625, 754628826325811008], 'lmfdb_iso': '43758.o', 'lmfdb_label': '43758.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -622991, -193876734], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '52.6.0.a.1', '68.6.0.c.1', '156.48.0.?', '204.48.0.?', '884.12.0.?', '2652.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7673682707928281308700021249', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2105957778226624508300396630', 'prec': 100}, 'szpiro_ratio': 5.453622149481444, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, -4, 1, 0, 0, 1, 0, 1, -4, 0, 1, -1, 0, -4, 0], 'aplist': [1, 0, 0, -4, 1, 1, -1, -4, -6, 6, 8, -4, 0, 8, 0, 6, -12, 14, -4, 12, 8, 14, -12, -6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 43758, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '43758.o', 'trace_hash': 173962879069785087}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0040066337890154276005103456218', 'prec': 110}, 'conductor': 43758, 'gens': [[11067, 1134010, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7673682707928281308700021249', 'prec': 100}], 'lmfdb_label': '43758.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16362273213720227606350166555', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5493804296682751874288089569800253461', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[1887, 36082, 1]], 'xcoord_integral_points': [919, 1887, 11067]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': 'a', '5': [1, 3, 0], '7': [5, 0], '11': [2, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '43758.o2'}
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ec_torsion_growth • Show schema
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id: 2143944
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [2, 6]}
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id: 2143945
{'degree': 4, 'field': [-104, -44, -1, -1, 1], 'lmfdb_label': '43758.o2', 'torsion': [12]}
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id: 2143946
{'degree': 6, 'field': [88752, 0, 48252, 0, -441, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [3, 6]}
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id: 2143947
{'degree': 8, 'field': [81, 0, -108, 0, 522, 0, -12, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [2, 12]}
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id: 2143948
{'degree': 8, 'field': [3636, 6084, 1662, -1638, 217, -78, 8, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [2, 12]}
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id: 2143949
{'degree': 9, 'field': [1077725506, -167622312, -58023108, 424541, 1196052, 89505, -4114, -543, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [18]}
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id: 2143950
{'degree': 12, 'field': [14122564, -22548, -56334, 150230, -56265, -22668, 7655, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '43758.o2', 'torsion': [6, 6]}
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id: 2143951
{'degree': 16, 'field': [456976, 0, -41391480, 0, 3416504, 0, 16270982, 0, -136695, 0, 98852, 0, 1314, 0, 230, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [24]}
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id: 2143952
{'degree': 18, 'field': [4494249109183559648, 335234772028192608, -167975498134531152, 7432483103407648, 8553743561949768, 207413255653032, -149344840927724, -5383156418640, 2400478038816, 239743284924, -6051286956, -1985329632, -57309151, 6539016, 395235, -8228, -969, 0, 1], 'lmfdb_label': '43758.o2', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 1040508
{'conductor': 43758, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '43758.o2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 1040509
{'conductor': 43758, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '43758.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1040510
{'conductor': 43758, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '43758.o2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 1040511
{'conductor': 43758, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43758.o2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 1040512
{'conductor': 43758, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '43758.o2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1955881
{'adelic_gens': [[1873, 12, 630, 73], [883, 2640, 884, 2651], [1, 0, 12, 1], [222, 1117, 221, 1106], [1, 6, 6, 37], [2641, 12, 2640, 13], [11, 2, 2602, 2643], [826, 3, 2013, 2644], [1, 12, 0, 1]], 'adelic_image': '2652.96.1.?', 'conductor': 43758, 'lmfdb_label': '43758.o2', 'prime': 0}
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id: 190588
{'conductor': 43758, 'elladic_image': '2.3.0.1', 'lmfdb_label': '43758.o2', 'modell_image': '2B', 'prime': 2}
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id: 190589
{'conductor': 43758, 'elladic_image': '3.8.0.1', 'lmfdb_label': '43758.o2', 'modell_image': '3B.1.1', 'prime': 3}
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ec_padic • Show schema
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id: 2182015
{'lmfdb_iso': '43758.o', 'p': 7, 'prec': 20, 'unit': 384693312073989, 'val': 2}
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id: 2182011
{'lmfdb_iso': '43758.o', 'p': 19, 'prec': 20, 'unit': 236267435210294526447300, 'val': 1}
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id: 2182022
{'lmfdb_iso': '43758.o', 'p': 23, 'prec': 20, 'unit': 68187023969229524876708079, 'val': 1}
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id: 2182018
{'lmfdb_iso': '43758.o', 'p': 29, 'prec': 20, 'unit': 37378280512831705595459198, 'val': 1}
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id: 2182027
{'lmfdb_iso': '43758.o', 'p': 31, 'prec': 20, 'unit': 18942821202002634225797803214, 'val': 1}
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id: 2182014
{'lmfdb_iso': '43758.o', 'p': 37, 'prec': 20, 'unit': 110424837844647085529761700623, 'val': 1}
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id: 2182017
{'lmfdb_iso': '43758.o', 'p': 43, 'prec': 20, 'unit': 8947159997039994568264609686897, 'val': 1}
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id: 2182021
{'lmfdb_iso': '43758.o', 'p': 53, 'prec': 20, 'unit': 159516960293381677639602578278307, 'val': 1}
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id: 2182025
{'lmfdb_iso': '43758.o', 'p': 59, 'prec': 20, 'unit': 3150814514153579800713203268785121, 'val': 1}
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id: 2182026
{'lmfdb_iso': '43758.o', 'p': 61, 'prec': 20, 'unit': 2435974485915636707658721600539128, 'val': 1}
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id: 2182013
{'lmfdb_iso': '43758.o', 'p': 67, 'prec': 20, 'unit': 21152559256564058255669208012750524, 'val': 1}
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id: 2182024
{'lmfdb_iso': '43758.o', 'p': 71, 'prec': 20, 'unit': 66084594618991953404373733683087839, 'val': 1}
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id: 2182016
{'lmfdb_iso': '43758.o', 'p': 73, 'prec': 20, 'unit': 84938881830463160525313036249624017, 'val': 1}
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id: 2182019
{'lmfdb_iso': '43758.o', 'p': 79, 'prec': 20, 'unit': 148739345061235587838853424127146858, 'val': 1}
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id: 2182020
{'lmfdb_iso': '43758.o', 'p': 83, 'prec': 20, 'unit': 281929789512918225789425785165147960, 'val': 1}
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id: 2182023
{'lmfdb_iso': '43758.o', 'p': 89, 'prec': 20, 'unit': 1089025493161000762729067926036145984, 'val': 1}
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id: 2182012
{'lmfdb_iso': '43758.o', 'p': 97, 'prec': 20, 'unit': 13032852098560422370773041928411953606, 'val': 1}