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ec_curvedata • Show schema
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{'Ciso': '134640bm', 'Clabel': '134640bm4', 'Cnumber': 4, 'abc_quality': 1.1007554501001078, 'absD': 97523026755010560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [0, 0, 0, -1152867, -35446174], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 134640, 'degree': 3932160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5251442019374215426094879528', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 149, 'isogeny_degrees': [1, 2, 4], 'jinv': [56751044592329569, 32660264340000], 'lmfdb_iso': '134640.ft', 'lmfdb_label': '134640.ft2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8006, -21180], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '136.12.0.?', '204.12.0.?', '408.24.0.?', '440.12.0.?', '1320.24.0.?', '7480.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8560450928390943820563722835', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2826908770434213874946332129', 'prec': 100}, 'szpiro_ratio': 4.528811241298624, '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, 1, 0, -2, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 0, 1, 4, 1, -2, -1, 0, 0, -2, -4, -6, 2, -4, -8, 14, 4, 2, 16, -12, -6, 8, -12, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 134640, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '134640.ft', 'trace_hash': 128155531176333470}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0064074852361836040615289174089', 'prec': 110}, 'conductor': 134640, 'gens': [[1615, 48114, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8560450928390943820563722835', 'prec': 100}], 'lmfdb_label': '134640.ft2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15852760252252180696768229087', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4155001197271372788112562634156827697', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-1058, 0, 1]], 'xcoord_integral_points': [-1058, -233, 1615]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [1, 0], '11': [2, 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': '134640.ft2'}
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ec_torsion_growth • Show schema
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id: 6101485
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 2]}
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id: 6101487
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [4]}
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id: 6101486
{'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '134640.ft2', 'torsion': [4]}
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id: 6101488
{'degree': 4, 'field': [100, 0, -14, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 4]}
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id: 6101492
{'degree': 8, 'field': [-995328, 0, 103248, 0, -3456, 0, 0, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [6]}
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id: 6101490
{'degree': 8, 'field': [625, 0, -925, 0, 2496, 0, -37, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [8]}
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id: 6101489
{'degree': 8, 'field': [10000, 0, -10656, 0, -56, 0, -24, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 4]}
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id: 6101491
{'degree': 8, 'field': [1990921, 0, -61404, 0, -1804, 0, 36, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [8]}
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id: 6101498
{'degree': 16, 'field': [3600, 0, 1234800, 0, 1692100, 0, 2649504, 0, 290472, 0, 13444, 0, 816, 0, 48, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [12]}
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id: 6101493
{'degree': 16, 'field': [390625, 0, 0, 0, 1791724, 0, 0, 0, -30522, 0, 0, 0, 172, 0, 0, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [4, 4]}
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id: 6101494
{'degree': 16, 'field': [11092091761, 0, 6046781914, 0, 1301936509, 0, 107274886, 0, 814300, 0, -209054, 0, 5149, 0, -26, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 8]}
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id: 6101496
{'degree': 16, 'field': [20648540416, 0, -231461815808, 0, 50216905216, 0, -17726183936, 0, 330602656, 0, -2464544, 0, 25456, 0, -272, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 6]}
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id: 6101495
{'degree': 16, 'field': [48721291441, 0, 18385394204, 0, 2292979664, 0, 18346896, 0, 2048015, 0, -262464, 0, 10304, 0, 164, 0, 1], 'lmfdb_label': '134640.ft2', 'torsion': [2, 8]}
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id: 6101497
{'degree': 16, 'field': [402484358025, -71310272400, 74245718880, -5830744176, 2810280114, 139092264, -67295048, 16519912, -2331345, -1234912, 284312, -22296, 5354, -784, 132, -8, 1], 'lmfdb_label': '134640.ft2', 'torsion': [12]}
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ec_localdata • Show schema
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id: 3321616
{'conductor': 134640, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '134640.ft2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3321617
{'conductor': 134640, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '134640.ft2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3321618
{'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '134640.ft2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 3321619
{'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '134640.ft2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 3321620
{'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '134640.ft2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2540224
{'adelic_gens': [[22433, 8, 22432, 9], [18361, 7488, 21084, 7513], [1, 0, 8, 1], [1, 8, 0, 1], [18928, 3, 12765, 14962], [1, 4, 4, 17], [7, 6, 22434, 22435], [8977, 7488, 5988, 7513], [10288, 21513, 12147, 4654], [14959, 0, 0, 22439], [10277, 10284, 17718, 6539]], 'adelic_image': '22440.48.0.?', 'conductor': 134640, 'lmfdb_label': '134640.ft2', 'prime': 0}
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id: 522350
{'conductor': 134640, 'elladic_image': '4.6.0.1', 'lmfdb_label': '134640.ft2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 134640.ft does not appear in ec_padic