-
ec_curvedata • Show schema
Hide schema
{'Ciso': '157146b', 'Clabel': '157146b1', 'Cnumber': 1, 'abc_quality': 0.9621878694896706, 'absD': 212807477317047681024, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 4400088, 'ainvs': [1, 0, 0, -5245956, 4677234192], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 2381], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 157146, 'degree': 6931344, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7083611010143077820381635507', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 7], 'jinv': [-15966056003238798715810369, 212807477317047681024], 'lmfdb_iso': '157146.j', 'lmfdb_label': '157146.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5245956, 4677234192], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '628584.2.0.?', '4400088.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9712665306053729051439693954', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 78573], [3, 4, 26191], [7, 2, 2381], [11, 12, 14286], [2381, 2382, 66]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7083611010143077820381635507', 'prec': 100}, 'szpiro_ratio': 4.852119918856678, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 1, -1, 1, -3, 1, 6, -1], 'aplist': [1, 1, -1, 1, 1, 0, -3, 6, 3, 9, 4, -11, 0, 2, -8, -9, 4, -8, 5, 9, -10, -11, 14, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 157146, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '157146.j', 'trace_hash': 2294842054631972270}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.0044416817486811254034091711427', 'prec': 110}, 'conductor': 157146, 'gens': [[-448, 83516, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9712665306053729051439693954', 'prec': 100}], 'lmfdb_label': '157146.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17824134798141011834441393449', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.864721891779750504404663478098714601', 'prec': 130}, 'tamagawa_product': 1029, 'torsion_generators': [[1224, 8892, 1]], 'xcoord_integral_points': [-888, -448, 1224, 2016, 2304, 161736]}
-
lmfdb_label 157146.j2 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 7039924
{'degree': 3, 'field': [324, -32, -1, 1], 'lmfdb_label': '157146.j2', 'torsion': [14]}
-
id: 7039925
{'degree': 6, 'field': [2514336, 0, 9409, 0, -194, 0, 1], 'lmfdb_label': '157146.j2', 'torsion': [2, 14]}
-
id: 7039926
{'degree': 8, 'field': [-20172, 0, 5759, 0, -492, 0, 0, 0, 1], 'lmfdb_label': '157146.j2', 'torsion': [21]}
-
id: 7039927
{'degree': 12, 'field': [2100166294416, 1523199226032, 402947938632, 30511861728, -4306915058, -693244630, 12602217, 3491248, 144343, -11690, -531, -4, 1], 'lmfdb_label': '157146.j2', 'torsion': [28]}
-
ec_localdata • Show schema
Hide schema
-
id: 3886799
{'conductor': 157146, 'conductor_valuation': 1, 'discriminant_valuation': 21, 'j_denominator_valuation': 21, 'kodaira_symbol': 25, 'lmfdb_label': '157146.j2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 21}
-
id: 3886800
{'conductor': 157146, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '157146.j2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
-
id: 3886801
{'conductor': 157146, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '157146.j2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
-
id: 3886802
{'conductor': 157146, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '157146.j2', 'prime': 2381, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2681236
{'adelic_gens': [[1466704, 7, 1466689, 4400082], [8, 7, 1100015, 4400082], [1, 14, 0, 1], [3300067, 2200058, 0, 2671483], [800024, 7, 400001, 4400082], [8, 7, 2200037, 4400082], [1, 0, 14, 1], [8, 5, 91, 57], [495272, 7, 1766681, 4400082], [4400075, 14, 4400074, 15]], 'adelic_image': '4400088.96.2.?', 'conductor': 157146, 'lmfdb_label': '157146.j2', 'prime': 0}
-
id: 599942
{'conductor': 157146, 'elladic_image': '7.48.0.1', 'lmfdb_label': '157146.j2', 'modell_image': '7B.1.1', 'prime': 7}
-
lmfdb_iso 157146.j does not appear in ec_padic