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ec_curvedata • Show schema
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{'Ciso': '363090j', 'Clabel': '363090j2', 'Cnumber': 2, 'abc_quality': 0.9160757628662662, 'absD': 11838442562049899250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 207480, 'ainvs': [1, 1, 0, -669708, -131029002], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 9289728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3607916096108561737402223708', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [282353350636276921, 100625101463250], 'lmfdb_iso': '363090.j', 'lmfdb_label': '363090.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13668, 380056], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '228.24.0.?', '520.6.0.?', '1560.24.0.?', '1596.48.0.?', '10920.48.0.?', '29640.48.0.?', '207480.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3878365350831995211875459991', 'prec': 100}, 'szpiro_ratio': 4.050597717789809, '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, 0, -1, 1, 1, 0, -1, -1, 0, 1, 1, -6, -1, -1, -1], 'aplist': [-1, -1, -1, 0, 0, -1, -6, -1, 6, -6, 4, 8, 0, -4, 0, 6, 0, -8, 2, 12, -14, 8, 12, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '363090.j', 'trace_hash': 2142601591857973208}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0089010750338203519312467506224', 'prec': 110}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.j3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17181110287941065967712928797', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.68724441151764263870851715189494151757', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-837, 837, 2]], 'xcoord_integral_points': []}
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lmfdb_label 363090.j3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15094435
{'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 2]}
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id: 15094436
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '363090.j3', 'torsion': [6]}
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id: 15094437
{'degree': 4, 'field': [4680, 0, -123, 0, 1], 'lmfdb_label': '363090.j3', 'torsion': [4]}
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id: 15094438
{'degree': 4, 'field': [17294, 256, -255, -2, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 6]}
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id: 15094439
{'degree': 6, 'field': [-142121, 37163, 27122, 47, 314, -1, 1], 'lmfdb_label': '363090.j3', 'torsion': [6]}
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id: 15094442
{'degree': 8, 'field': [10040956, -304412, 314236, -19766, 10179, -358, 124, -4, 1], 'lmfdb_label': '363090.j3', 'torsion': [12]}
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id: 15094441
{'degree': 8, 'field': [92875006, -55595540, 12767430, -1327040, 65447, -2860, 130, 0, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 4]}
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id: 15094440
{'degree': 8, 'field': [3470829831, 66819396, -66423110, -791656, 393539, 2744, -910, -4, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 4]}
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id: 15094443
{'degree': 12, 'field': [3226012804, 1806630784, -524750632, 856721348, 711733710, -20475442, -8915927, 96967, 85206, -401, -334, -1, 1], 'lmfdb_label': '363090.j3', 'torsion': [3, 6]}
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id: 15094444
{'degree': 12, 'field': [1375921913625, 1062983250, -1249520625, 375423750, -193584000, 7045530, -2346899, -1206, 90, 130, -15, -6, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 6]}
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id: 15094447
{'degree': 16, 'field': [155774864312356, -390905627200, -16522474343104, 1367120370488, 2595332181072, 643054918496, 52888156872, -4919198980, -1479652283, -103837628, 4988808, 1245388, 60426, -3116, -352, -8, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 12]}
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id: 15094446
{'degree': 16, 'field': [2657793366471681, 0, 166438979850780, 0, 4711970995294, 0, 74779650920, 0, 873975471, 0, 8304400, 0, 57834, 0, 260, 0, 1], 'lmfdb_label': '363090.j3', 'torsion': [2, 12]}
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id: 15094445
{'degree': 16, 'field': [498478178112390000, -143381345449860000, 5439912288489000, 1880867215924200, -40899915069501, -26815612194036, 424839257844, 195696621240, 3106418002, -1027030252, -24988874, 833804, 454648, -12712, -296, -4, 1], 'lmfdb_label': '363090.j3', 'torsion': [8]}
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id: 15094448
{'degree': 18, 'field': [1760355941792364, -5233395795516, -281254791696732, -43306516009638, 21997265558940, 6282651660264, -338611508451, -270628638192, -10175307858, 6353266035, 565710813, -80790462, -10710959, 521274, 109185, -143, -498, -6, 1], 'lmfdb_label': '363090.j3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 8980894
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.j3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980895
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '363090.j3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8980896
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.j3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980897
{'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '363090.j3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8980898
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.j3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980899
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.j3', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3925844
{'adelic_gens': [[138329, 2, 34584, 1], [10, 3, 124461, 207472], [1, 0, 12, 1], [112395, 146968, 112358, 146957], [10, 3, 103713, 207472], [1, 6, 6, 37], [11, 2, 207430, 207471], [177839, 207468, 29634, 207407], [1, 12, 0, 1], [63850, 3, 159573, 207472], [163801, 12, 152886, 73], [207469, 12, 207468, 13]], 'adelic_image': '207480.96.1.?', 'conductor': 363090, 'lmfdb_label': '363090.j3', 'prime': 0}
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id: 1249899
{'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.j3', 'modell_image': '2B', 'prime': 2}
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id: 1249900
{'conductor': 363090, 'elladic_image': '3.4.0.1', 'lmfdb_label': '363090.j3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 363090.j does not appear in ec_padic