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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-mm images
1001.a1 1001.a 71113 7 \cdot 11 \cdot 13 22 trivial\mathsf{trivial} 0.0360107450.036010745 [0,0,1,199,1092][0, 0, 1, -199, 1092] y2+y=x3199x+1092y^2+y=x^3-199x+1092 22.2.0.a.1
1001.b1 1001.b 71113 7 \cdot 11 \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,9916,377564][1, -1, 1, -9916, -377564] y2+xy+y=x3x29916x377564y^2+xy+y=x^3-x^2-9916x-377564 2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 56.24.0-56.z.1.12, 616.48.0.?
1001.b2 1001.b 71113 7 \cdot 11 \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,1006,2552][1, -1, 1, -1006, 2552] y2+xy+y=x3x21006x+2552y^2+xy+y=x^3-x^2-1006x+2552 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 44.12.0-4.c.1.1, \ldots
1001.b3 1001.b 71113 7 \cdot 11 \cdot 13 00 Z/2ZZ/2Z\Z/2\Z\oplus\Z/2\Z 11 [1,1,1,621,5764][1, -1, 1, -621, -5764] y2+xy+y=x3x2621x5764y^2+xy+y=x^3-x^2-621x-5764 2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 44.24.0-44.a.1.2, 308.48.0.?
1001.b4 1001.b 71113 7 \cdot 11 \cdot 13 00 Z/4Z\Z/4\Z 11 [1,1,1,16,198][1, -1, 1, -16, -198] y2+xy+y=x3x216x198y^2+xy+y=x^3-x^2-16x-198 2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 88.24.0.?, \ldots
1001.c1 1001.c 71113 7 \cdot 11 \cdot 13 11 trivial\mathsf{trivial} 1.5623894121.562389412 [0,1,1,15881,778423][0, -1, 1, -15881, 778423] y2+y=x3x215881x+778423y^2+y=x^3-x^2-15881x+778423 182.2.0.?
1002.a1 1002.a 23167 2 \cdot 3 \cdot 167 00 Z/2Z\Z/2\Z 11 [1,1,0,860,10074][1, 1, 0, -860, -10074] y2+xy=x3+x2860x10074y^2+xy=x^3+x^2-860x-10074 2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?
1002.a2 1002.a 23167 2 \cdot 3 \cdot 167 00 Z/2Z\Z/2\Z 11 [1,1,0,50,192][1, 1, 0, -50, -192] y2+xy=x3+x250x192y^2+xy=x^3+x^2-50x-192 2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?
1002.b1 1002.b 23167 2 \cdot 3 \cdot 167 00 trivial\mathsf{trivial} 11 [1,1,0,564,1872][1, 1, 0, 564, 1872] y2+xy=x3+x2+564x+1872y^2+xy=x^3+x^2+564x+1872 1336.2.0.?
1002.c1 1002.c 23167 2 \cdot 3 \cdot 167 11 trivial\mathsf{trivial} 0.1085401710.108540171 [1,0,1,3264,71590][1, 0, 1, -3264, 71590] y2+xy+y=x33264x+71590y^2+xy+y=x^3-3264x+71590 1336.2.0.?
1002.d1 1002.d 23167 2 \cdot 3 \cdot 167 11 Z/2Z\Z/2\Z 3.0215020523.021502052 [1,0,1,125,544][1, 0, 1, -125, -544] y2+xy+y=x3125x544y^2+xy+y=x^3-125x-544 2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?
1002.d2 1002.d 23167 2 \cdot 3 \cdot 167 11 Z/2Z\Z/2\Z 1.5107510261.510751026 [1,0,1,5,16][1, 0, 1, -5, -16] y2+xy+y=x35x16y^2+xy+y=x^3-5x-16 2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.?
1002.e1 1002.e 23167 2 \cdot 3 \cdot 167 11 trivial\mathsf{trivial} 0.0482342940.048234294 [1,0,0,27,81][1, 0, 0, -27, 81] y2+xy=x327x+81y^2+xy=x^3-27x+81 1336.2.0.?
1003.a1 1003.a 1759 17 \cdot 59 00 trivial\mathsf{trivial} 11 [1,1,1,63,332][1, -1, 1, 63, -332] y2+xy+y=x3x2+63x332y^2+xy+y=x^3-x^2+63x-332 118.2.0.?
1003.b1 1003.b 1759 17 \cdot 59 11 trivial\mathsf{trivial} 0.7014504530.701450453 [0,1,1,1,1][0, -1, 1, 1, 1] y2+y=x3x2+x+1y^2+y=x^3-x^2+x+1 2006.2.0.?
1003.c1 1003.c 1759 17 \cdot 59 00 trivial\mathsf{trivial} 11 [1,0,1,8,11][1, 0, 1, -8, -11] y2+xy+y=x38x11y^2+xy+y=x^3-8x-11 118.2.0.?
1003.d1 1003.d 1759 17 \cdot 59 11 trivial\mathsf{trivial} 0.5459938650.545993865 [0,0,1,41,135][0, 0, 1, -41, 135] y2+y=x341x+135y^2+y=x^3-41x+135 2006.2.0.?
1005.a1 1005.a 3567 3 \cdot 5 \cdot 67 11 trivial\mathsf{trivial} 0.3123157350.312315735 [0,1,1,3001,70904][0, 1, 1, -3001, -70904] y2+y=x3+x23001x70904y^2+y=x^3+x^2-3001x-70904 3.8.0-3.a.1.1, 134.2.0.?, 402.16.0.?
1005.a2 1005.a 3567 3 \cdot 5 \cdot 67 11 Z/3Z\Z/3\Z 0.9369472070.936947207 [0,1,1,239,295][0, 1, 1, 239, 295] y2+y=x3+x2+239x+295y^2+y=x^3+x^2+239x+295 3.8.0-3.a.1.2, 134.2.0.?, 402.16.0.?
1005.b1 1005.b 3567 3 \cdot 5 \cdot 67 00 Z/2Z\Z/2\Z 11 [1,1,0,297,1944][1, 1, 0, -297, -1944] y2+xy=x3+x2297x1944y^2+xy=x^3+x^2-297x-1944 2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.?
1005.b2 1005.b 3567 3 \cdot 5 \cdot 67 00 Z/2Z\Z/2\Z 11 [1,1,0,328,8319][1, 1, 0, 328, -8319] y2+xy=x3+x2+328x8319y^2+xy=x^3+x^2+328x-8319 2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.?
1006.a1 1006.a 2503 2 \cdot 503 00 Z/2Z\Z/2\Z 11 [1,1,0,32,24][1, -1, 0, -32, 24] y2+xy=x3x232x+24y^2+xy=x^3-x^2-32x+24 2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?
1006.a2 1006.a 2503 2 \cdot 503 00 Z/2Z\Z/2\Z 11 [1,1,0,8,0][1, -1, 0, 8, 0] y2+xy=x3x2+8xy^2+xy=x^3-x^2+8x 2.3.0.a.1, 8.6.0.c.1, 1006.6.0.?, 4024.12.0.?
1006.b1 1006.b 2503 2 \cdot 503 11 trivial\mathsf{trivial} 0.2846284870.284628487 [1,0,1,2,4][1, 0, 1, -2, 4] y2+xy+y=x32x+4y^2+xy+y=x^3-2x+4 1006.2.0.?
1006.c1 1006.c 2503 2 \cdot 503 11 trivial\mathsf{trivial} 0.0717544890.071754489 [1,1,1,135,639][1, -1, 1, -135, 639] y2+xy+y=x3x2135x+639y^2+xy+y=x^3-x^2-135x+639 1006.2.0.?
1006.d1 1006.d 2503 2 \cdot 503 11 trivial\mathsf{trivial} 0.1063606650.106360665 [1,1,1,23,45][1, 1, 1, -23, 45] y2+xy+y=x3+x223x+45y^2+xy+y=x^3+x^2-23x+45 1006.2.0.?
1006.e1 1006.e 2503 2 \cdot 503 11 trivial\mathsf{trivial} 0.3249155870.324915587 [1,0,0,5,1][1, 0, 0, 5, 1] y2+xy=x3+5x+1y^2+xy=x^3+5x+1 1006.2.0.?
1007.a1 1007.a 1953 19 \cdot 53 11 trivial\mathsf{trivial} 1.5650310161.565031016 [0,0,1,61,105][0, 0, 1, 61, -105] y2+y=x3+61x105y^2+y=x^3+61x-105 38.2.0.a.1
1008.a1 1008.a 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,327,2270][0, 0, 0, -327, -2270] y2=x3327x2270y^2=x^3-327x-2270 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?
1008.a2 1008.a 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,12,65][0, 0, 0, -12, -65] y2=x312x65y^2=x^3-12x-65 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?
1008.b1 1008.b 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/4Z\Z/4\Z 11 [0,0,0,36291,2661010][0, 0, 0, -36291, 2661010] y2=x336291x+2661010y^2=x^3-36291x+2661010 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 42.6.0.a.1, 56.24.0-56.ba.1.13, \ldots
1008.b2 1008.b 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,3531,9686][0, 0, 0, -3531, -9686] y2=x33531x9686y^2=x^3-3531x-9686 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, \ldots
1008.b3 1008.b 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2ZZ/2Z\Z/2\Z\oplus\Z/2\Z 11 [0,0,0,2271,41470][0, 0, 0, -2271, 41470] y2=x32271x+41470y^2=x^3-2271x+41470 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 28.24.0-28.a.1.3, 84.48.0.?
1008.b4 1008.b 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,66,1339][0, 0, 0, -66, 1339] y2=x366x+1339y^2=x^3-66x+1339 2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 56.24.0-56.ba.1.5, \ldots
1008.c1 1008.c 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 1.4764447401.476444740 [0,0,0,6,5][0, 0, 0, -6, -5] y2=x36x5y^2=x^3-6x-5 2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?
1008.c2 1008.c 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 0.7382223700.738222370 [0,0,0,9,26][0, 0, 0, 9, -26] y2=x3+9x26y^2=x^3+9x-26 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
1008.d1 1008.d 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 1.1378287691.137828769 [0,0,0,2691,53730][0, 0, 0, -2691, 53730] y2=x32691x+53730y^2=x^3-2691x+53730 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 56.24.0.bp.1, \ldots
1008.d2 1008.d 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 0.2844571920.284457192 [0,0,0,531,3726][0, 0, 0, -531, -3726] y2=x3531x3726y^2=x^3-531x-3726 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, \ldots
1008.d3 1008.d 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2ZZ/2Z\Z/2\Z\oplus\Z/2\Z 0.5689143840.568914384 [0,0,0,171,810][0, 0, 0, -171, 810] y2=x3171x+810y^2=x^3-171x+810 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 28.12.0.b.1, \ldots
1008.d4 1008.d 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 1.1378287691.137828769 [0,0,0,9,54][0, 0, 0, 9, 54] y2=x3+9x+54y^2=x^3+9x+54 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 14.6.0.b.1, \ldots
1008.e1 1008.e 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 0.6881543210.688154321 [0,0,0,1371,19514][0, 0, 0, -1371, 19514] y2=x31371x+19514y^2=x^3-1371x+19514 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, \ldots
1008.e2 1008.e 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2ZZ/2Z\Z/2\Z\oplus\Z/2\Z 1.3763086431.376308643 [0,0,0,111,110][0, 0, 0, -111, 110] y2=x3111x+110y^2=x^3-111x+110 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 28.24.0-28.a.1.3, 84.48.0.?
1008.e3 1008.e 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 2.7526172862.752617286 [0,0,0,66,205][0, 0, 0, -66, -205] y2=x366x205y^2=x^3-66x-205 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 42.6.0.a.1, 56.24.0-56.ba.1.5, \ldots
1008.e4 1008.e 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/4Z\Z/4\Z 0.6881543210.688154321 [0,0,0,429,866][0, 0, 0, 429, 866] y2=x3+429x+866y^2=x^3+429x+866 2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 56.24.0-56.ba.1.13, \ldots
1008.f1 1008.f 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,111,450][0, 0, 0, -111, -450] y2=x3111x450y^2=x^3-111x-450 2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?
1008.f2 1008.f 24327 2^{4} \cdot 3^{2} \cdot 7 00 Z/2Z\Z/2\Z 11 [0,0,0,6,9][0, 0, 0, -6, -9] y2=x36x9y^2=x^3-6x-9 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
1008.g1 1008.g 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 5.6793646645.679364664 [0,0,0,16455,812446][0, 0, 0, -16455, -812446] y2=x316455x812446y^2=x^3-16455x-812446 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.4, 28.6.0.a.1, \ldots
1008.g2 1008.g 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 2.8396823322.839682332 [0,0,0,1020,12913][0, 0, 0, -1020, -12913] y2=x31020x12913y^2=x^3-1020x-12913 2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.1, 28.6.0.b.1, \ldots
1008.g3 1008.g 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 1.8931215541.893121554 [0,0,0,255,502][0, 0, 0, -255, -502] y2=x3255x502y^2=x^3-255x-502 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.2, 28.6.0.a.1, \ldots
1008.g4 1008.g 24327 2^{4} \cdot 3^{2} \cdot 7 11 Z/2Z\Z/2\Z 0.9465607770.946560777 [0,0,0,60,61][0, 0, 0, 60, -61] y2=x3+60x61y^2=x^3+60x-61 2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.4, 28.6.0.b.1, \ldots
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