-
ec_curvedata • Show schema
Hide schema
{'Ciso': '207214w', 'Clabel': '207214w1', 'Cnumber': 1, 'abc_quality': 0.9222376257281353, 'absD': 27652439750656, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2296, 'ainvs': [1, 0, 1, -7589, -27632], 'analytic_rank': 2, 'bad_primes': [2, 7, 19, 41], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 207214, 'degree': 633600, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2689510903108119046204352369', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [1027243729, 587776], 'lmfdb_iso': '207214.j', 'lmfdb_label': '207214.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -21, -5], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['2296.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.6080155365298990578500064148', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20326839927240832538407847904', 'prec': 107}, 'szpiro_ratio': 3.1382392562513126, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 1, 1, -1, -1, -1, -1, -2, 1, -6, 1, 4, 1, -1, 1, 7, 2, 0, -1], 'aplist': [-1, 1, -1, -1, -6, 4, 7, 0, -8, -1, -5, 2, -1, -5, -6, 3, 10, -3, -14, -3, 8, -7, -2, -5, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 207214, 'isogeny_matrix': [[1]], 'lmfdb_iso': '207214.j', 'trace_hash': 898259933788234268}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.079032020913319444926584678563', 'prec': 107}, 'conductor': 207214, 'gens': [[-8, 184, 1], [-89, 2973, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5415733406334650939961390634', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.9931077133117393438481386120', 'prec': 100}], 'lmfdb_label': '207214.j1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.55441172947321067091472821032', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.218951452187864481939591568578197500', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-8, 436, 1474]}
-
lmfdb_label 207214.j1 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 9062805
{'degree': 3, 'field': [-14, -14, -1, 1], 'lmfdb_label': '207214.j1', 'torsion': [2]}
-
id: 9062806
{'degree': 6, 'field': [8, -8, -94, 144, -47, -2, 1], 'lmfdb_label': '207214.j1', 'torsion': [2, 2]}
-
id: 9062807
{'degree': 8, 'field': [-1512174, 177093, -172896, -8395, 4201, -7, 7, -4, 1], 'lmfdb_label': '207214.j1', 'torsion': [3]}
-
id: 9062808
{'degree': 12, 'field': [17103980411, 17340588656, 6133440072, -628684772, -416801877, -19248480, 5532160, 446952, -47015, -1104, -8, -4, 1], 'lmfdb_label': '207214.j1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 5132784
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '207214.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 5132785
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '207214.j1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 5132786
{'conductor': 207214, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '207214.j1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 5132787
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '207214.j1', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
{'adelic_gens': [[1149, 2, 1149, 3], [2295, 2, 2294, 3], [785, 2, 785, 3], [1, 1, 2295, 0], [575, 2, 575, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1641, 2, 1641, 3]], 'adelic_image': '2296.2.0.?', 'conductor': 207214, 'lmfdb_label': '207214.j1', 'prime': 0}
-
lmfdb_iso 207214.j does not appear in ec_padic