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ec_curvedata • Show schema
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{'Ciso': '309738u', 'Clabel': '309738u4', 'Cnumber': 4, 'abc_quality': 1.059433311036222, 'absD': 363288293082, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 65208, 'ainvs': [1, 0, 1, -14867432, -22066142524], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 309738, 'degree': 8294400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4064852850440856057199865676', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [7725203825376001537, 7722], 'lmfdb_iso': '309738.u', 'lmfdb_label': '309738.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -41184, 3199767], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '152.12.0.?', '312.12.0.?', '1672.24.0.?', '2964.12.0.?', '3432.24.0.?', '5928.24.0.?', '65208.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93426579546086537571547285166', 'prec': 103}, 'szpiro_ratio': 4.83708945659151, '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, -2, -1, 0, -1, 1, 2, 1, 1, -1, 0, -2, 1, 6, -1, 0, -2], 'aplist': [-1, 1, -2, 0, 1, -1, 6, 0, 4, -6, -4, -2, -10, -4, 8, 6, -4, -2, 4, 8, 14, 8, 4, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 309738, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '309738.u', 'trace_hash': 1279979887546210008}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0081236918233337741151257838773', 'prec': 110}, 'conductor': 309738, 'gens': [], 'heights': [], 'lmfdb_label': '309738.u1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.076884813985404661929135666349', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8452355356497118862992559923676375593', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [[-8905, 8901, 2]], 'xcoord_integral_points': []}
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lmfdb_label 309738.u1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13067645
{'degree': 2, 'field': [-858, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 2]}
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id: 13067647
{'degree': 2, 'field': [418, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [4]}
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id: 13067646
{'degree': 2, 'field': [741, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [4]}
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id: 13067648
{'degree': 4, 'field': [101761, 0, -220, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 4]}
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id: 13067652
{'degree': 8, 'field': [-1189598, -142817, 51244, -1183, -583, 197, -35, -2, 1], 'lmfdb_label': '309738.u1', 'torsion': [6]}
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id: 13067650
{'degree': 8, 'field': [228484, 0, 71624, 0, 6885, 0, -154, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [8]}
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id: 13067651
{'degree': 8, 'field': [72914939, 2833276, -2788642, -88936, 43639, 992, -326, -4, 1], 'lmfdb_label': '309738.u1', 'torsion': [8]}
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id: 13067649
{'degree': 8, 'field': [10778177124, 0, 0, 0, -843414, 0, 0, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 4]}
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id: 13067658
{'degree': 16, 'field': [70906254802, -11618988940, 93252749427, -103591783604, 35080227530, -19109310, -2525011059, 404679060, 39367293, -11799334, 296971, 39636, -4887, 1062, -66, -4, 1], 'lmfdb_label': '309738.u1', 'torsion': [12]}
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id: 13067655
{'degree': 16, 'field': [172255997137, -29613957688, 28972984056, 1612353064, -1613498058, 916910808, -220560956, -70199792, 14241447, 2059976, -268916, -74736, 9726, 1232, -156, -8, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 8]}
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id: 13067657
{'degree': 16, 'field': [3629009145252, -5373711747756, 3259056897541, -1013445823186, 212708568256, -31003846196, 3659962805, -282821654, 20953929, -854784, 188841, -13538, -3355, 1444, -92, -4, 1], 'lmfdb_label': '309738.u1', 'torsion': [12]}
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id: 13067654
{'degree': 16, 'field': [7663972997641, -475929991704, 595091346464, -228968931736, 91745588168, 25492723512, -5548533736, -2446471392, 510933049, 65708328, -11735012, -756824, 117462, 3976, -548, -8, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 8]}
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id: 13067656
{'degree': 16, 'field': [27980747887882, 19815515786156, 66964198941, -2371438094796, -419101238736, -16611889734, 282445571, 3733182832, 307074777, -107588918, -7835461, 442632, 987, 534, -66, -4, 1], 'lmfdb_label': '309738.u1', 'torsion': [2, 6]}
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id: 13067653
{'degree': 16, 'field': [116150921918257031521, 0, 109087827584492336, 0, -18175153905196832, 0, 2241858013880, 0, 732932205790, 0, 3373712, 0, -1686800, 0, 8, 0, 1], 'lmfdb_label': '309738.u1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 7669556
{'conductor': 309738, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '309738.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7669557
{'conductor': 309738, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '309738.u1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 7669558
{'conductor': 309738, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '309738.u1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 7669559
{'conductor': 309738, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '309738.u1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7669560
{'conductor': 309738, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '309738.u1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3608881
{'adelic_gens': [[46912, 48051, 36613, 37754], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [34752, 33041, 64771, 57894], [7, 6, 65202, 65203], [48584, 48051, 13205, 37754], [44195, 13300, 54530, 1293], [37751, 0, 0, 65207], [24340, 37753, 14687, 58350], [65201, 8, 65200, 9]], 'adelic_image': '65208.48.0.?', 'conductor': 309738, 'lmfdb_label': '309738.u1', 'prime': 0}
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id: 1087657
{'conductor': 309738, 'elladic_image': '4.6.0.1', 'lmfdb_label': '309738.u1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 309738.u does not appear in ec_padic