-
ec_curvedata • Show schema
Hide schema
{'Ciso': '189618j', 'Clabel': '189618j2', 'Cnumber': 2, 'abc_quality': 0.9869667517544912, 'absD': 13995354679753624304604048, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 29172, 'ainvs': [1, 0, 0, 49468747, 120262874289], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 189618, 'degree': 51093504, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5118079441958624413329979337', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2773679829880629422375, 2899504554614368272], 'lmfdb_iso': '189618.br', 'lmfdb_label': '189618.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 292714, 54762104], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.1', '68.6.0.a.1', '78.24.0.?', '132.24.0.?', '204.24.0.?', '1716.48.0.?', '2244.48.1.?', '2652.48.0.?', '29172.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2293332654650940733062542129', 'prec': 100}, 'szpiro_ratio': 5.329169814177974, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 1, 1, 0, 1, 4, 1, 1, 0, -1, 1, 0, 4, 0, 1, 1, 1, -2, 0], 'aplist': [1, 1, 0, 4, -1, 0, 1, -2, 0, -6, -8, -2, 6, 2, 6, 6, -6, -4, 16, -12, 4, 8, 12, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 189618, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '189618.br', 'trace_hash': 479121244759153208}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00089059935581584696660363207716', 'prec': 113}, 'conductor': 189618, 'gens': [], 'heights': [], 'lmfdb_label': '189618.br4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046617942625041257462716788672', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7129837380059410746312175687667812176', 'prec': 130}, 'tamagawa_product': 576, 'torsion_generators': [[-8849, 8849, 2]], 'xcoord_integral_points': []}
-
lmfdb_label 189618.br4 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 8353798
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '189618.br4', 'torsion': [6]}
-
id: 8353797
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 2]}
-
id: 8353799
{'degree': 4, 'field': [-2873, 0, -104, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [4]}
-
id: 8353800
{'degree': 4, 'field': [417, -28, 29, -2, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 6]}
-
id: 8353801
{'degree': 6, 'field': [12, 12, -8, -9, 7, -3, 1], 'lmfdb_label': '189618.br4', 'torsion': [6]}
-
id: 8353804
{'degree': 8, 'field': [867, 708, -584, -220, 41, 80, -22, -4, 1], 'lmfdb_label': '189618.br4', 'torsion': [12]}
-
id: 8353803
{'degree': 8, 'field': [1399368, -790296, 40894, 11934, 6285, -442, -120, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 4]}
-
id: 8353802
{'degree': 8, 'field': [2775556, 0, -248540, 0, 15317, 0, -68, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 4]}
-
id: 8353805
{'degree': 12, 'field': [144, 144, 240, 120, 88, -132, 197, -99, 30, -3, 2, -3, 1], 'lmfdb_label': '189618.br4', 'torsion': [3, 6]}
-
id: 8353806
{'degree': 12, 'field': [15896232, -8453880, 9812148, -2825808, 1690870, -347070, 138539, -20250, 5901, -570, 125, -6, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 6]}
-
id: 8353808
{'degree': 16, 'field': [53882793, -49185828, 77890692, -26834364, 16004870, -4570144, 2530060, -647156, 108239, -43928, 23444, -5236, 730, -204, 24, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 12]}
-
id: 8353809
{'degree': 16, 'field': [232586436, -39891012, 69501742, -60583450, 31047361, -12195600, 6561642, -3057912, 1342222, -455770, 105346, -16500, 2910, -408, 40, -4, 1], 'lmfdb_label': '189618.br4', 'torsion': [2, 12]}
-
id: 8353807
{'degree': 16, 'field': [279908716096, 0, -407795394032, 0, 15754303732, 0, 528679372, 0, 5024185, 0, -218660, 0, 5530, 0, 208, 0, 1], 'lmfdb_label': '189618.br4', 'torsion': [8]}
-
id: 8353810
{'degree': 18, 'field': [3717757743317712, 430046487181152, -341485055862768, 109852957535580, 173702735101116, 42400724720490, 14703993945575, 2627385578022, 120305799834, -68742021779, -7874046090, 862282098, 36381993, -6610860, 156078, 16484, -699, -3, 1], 'lmfdb_label': '189618.br4', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 4693886
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '189618.br4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
-
id: 4693887
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '189618.br4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
-
id: 4693888
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '189618.br4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 4693889
{'conductor': 189618, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '189618.br4', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 4693890
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '189618.br4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
-
ec_galrep • Show schema
Hide schema
-
id: 2881844
{'adelic_gens': [[10570, 24687, 16341, 13456], [17951, 0, 0, 29171], [1, 0, 12, 1], [1, 6, 6, 37], [2653, 11232, 6942, 9049], [29161, 12, 29160, 13], [1, 12, 0, 1], [17213, 6734, 3744, 1], [11, 2, 29122, 29163], [26742, 28249, 26741, 17018]], 'adelic_image': '29172.96.1.?', 'conductor': 189618, 'lmfdb_label': '189618.br4', 'prime': 0}
-
id: 707635
{'conductor': 189618, 'elladic_image': '2.3.0.1', 'lmfdb_label': '189618.br4', 'modell_image': '2B', 'prime': 2}
-
id: 707636
{'conductor': 189618, 'elladic_image': '3.4.0.1', 'lmfdb_label': '189618.br4', 'modell_image': '3B', 'prime': 3}
-
lmfdb_iso 189618.br does not appear in ec_padic