-
ec_curvedata • Show schema
Hide schema
{'Ciso': '156702cl', 'Clabel': '156702cl2', 'Cnumber': 2, 'abc_quality': 0.8498275131816658, 'absD': 58957795846404, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 89544, 'ainvs': [1, 1, 0, -12471, 383265], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 156702, 'degree': 749568, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3499079097403898243226067739', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [1823449422313, 501132996], 'lmfdb_iso': '156702.b', 'lmfdb_label': '156702.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -255, -1154], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '52.12.0-2.a.1.1', '56.12.0-2.a.1.1', '728.24.0.?', '984.12.0.?', '3444.12.0.?', '6888.24.0.?', '12792.24.0.?', '44772.24.0.?', '89544.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2302006575926668085972287817', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37695283521273317176993040218', 'prec': 103}, 'szpiro_ratio': 3.3361373027747105, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, -1, 1, -2, 1, 0, -1, 1, 2, -4, -1, 1, 0, 2, 1, 6, -1, -8, -2], 'aplist': [-1, -1, -2, 0, -4, 1, 6, -8, 8, 6, 0, -6, -1, -4, -8, 6, 0, 6, -12, 4, -10, 16, 16, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 156702, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '156702.b', 'trace_hash': 708442641786386234}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.067217891825938908979238403497', 'prec': 107}, 'conductor': 156702, 'gens': [[8, 529, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2302006575926668085972287817', 'prec': 100}], 'lmfdb_label': '156702.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58309112281188490043831185485', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8692763308785089872235417644475656163', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[34, -17, 1], [90, -45, 1]], 'xcoord_integral_points': [-57, 8, 34, 90, 115, 132, 377]}
-
lmfdb_label 156702.b2 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 7022224
{'degree': 4, 'field': [303, -22, 23, -2, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 4]}
-
id: 7022226
{'degree': 4, 'field': [3364, 0, -130, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 4]}
-
id: 7022225
{'degree': 4, 'field': [44944, 0, 437, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 4]}
-
id: 7022227
{'degree': 8, 'field': [-115248, 0, -146804, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 6]}
-
id: 7022229
{'degree': 16, 'field': [43510457, 53564728, -19777964, -60059952, 11896978, 19959080, -3715904, -2398232, 468651, 59368, 15248, -13816, 1514, 336, -28, -8, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 8]}
-
id: 7022231
{'degree': 16, 'field': [33439242496, 0, -14584774656, 0, 2448744448, 0, -204983040, 0, 9309024, 0, -253440, 0, 6208, 0, -144, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 8]}
-
id: 7022228
{'degree': 16, 'field': [557098820356, -149021827240, -53501614764, 8248309160, 4635412882, -807161680, 4408162, 4044040, 6937245, -867620, 326, -2080, 5416, -260, 28, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [4, 4]}
-
id: 7022230
{'degree': 16, 'field': [5111779826810944, 0, 137737821779712, 0, 3254056750000, 0, 103143102048, 0, 2211346188, 0, 27841152, 0, 202765, 0, 678, 0, 1], 'lmfdb_label': '156702.b2', 'torsion': [2, 8]}
-
ec_localdata • Show schema
Hide schema
-
id: 3876237
{'conductor': 156702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '156702.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 3876238
{'conductor': 156702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '156702.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 3876239
{'conductor': 156702, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '156702.b2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 3876240
{'conductor': 156702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '156702.b2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
id: 3876241
{'conductor': 156702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '156702.b2', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 2678414
{'adelic_gens': [[1, 0, 4, 1], [41329, 2, 0, 1], [29849, 4, 59698, 9], [1, 4, 0, 1], [74257, 4, 58970, 9], [51167, 89542, 0, 89543], [67159, 4, 44774, 9], [44775, 2, 89542, 89543], [89541, 4, 89540, 5]], 'adelic_image': '89544.48.0.?', 'conductor': 156702, 'lmfdb_label': '156702.b2', 'prime': 0}
-
id: 598336
{'conductor': 156702, 'elladic_image': '2.6.0.1', 'lmfdb_label': '156702.b2', 'modell_image': '2Cs', 'prime': 2}
-
lmfdb_iso 156702.b does not appear in ec_padic