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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1001.a1 1001.a \( 7 \cdot 11 \cdot 13 \) $2$ $\mathsf{trivial}$ $0.036010745$ $[0, 0, 1, -199, 1092]$ \(y^2+y=x^3-199x+1092\) 22.2.0.a.1
1001.b1 1001.b \( 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -9916, -377564]$ \(y^2+xy+y=x^3-x^2-9916x-377564\) 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 \( 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1006, 2552]$ \(y^2+xy+y=x^3-x^2-1006x+2552\) 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 \( 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -621, -5764]$ \(y^2+xy+y=x^3-x^2-621x-5764\) 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 \( 7 \cdot 11 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[1, -1, 1, -16, -198]$ \(y^2+xy+y=x^3-x^2-16x-198\) 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 \( 7 \cdot 11 \cdot 13 \) $1$ $\mathsf{trivial}$ $1.562389412$ $[0, -1, 1, -15881, 778423]$ \(y^2+y=x^3-x^2-15881x+778423\) 182.2.0.?
1002.a1 1002.a \( 2 \cdot 3 \cdot 167 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -860, -10074]$ \(y^2+xy=x^3+x^2-860x-10074\) 2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?
1002.a2 1002.a \( 2 \cdot 3 \cdot 167 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -50, -192]$ \(y^2+xy=x^3+x^2-50x-192\) 2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?
1002.b1 1002.b \( 2 \cdot 3 \cdot 167 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 564, 1872]$ \(y^2+xy=x^3+x^2+564x+1872\) 1336.2.0.?
1002.c1 1002.c \( 2 \cdot 3 \cdot 167 \) $1$ $\mathsf{trivial}$ $0.108540171$ $[1, 0, 1, -3264, 71590]$ \(y^2+xy+y=x^3-3264x+71590\) 1336.2.0.?
1002.d1 1002.d \( 2 \cdot 3 \cdot 167 \) $1$ $\Z/2\Z$ $3.021502052$ $[1, 0, 1, -125, -544]$ \(y^2+xy+y=x^3-125x-544\) 2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?
1002.d2 1002.d \( 2 \cdot 3 \cdot 167 \) $1$ $\Z/2\Z$ $1.510751026$ $[1, 0, 1, -5, -16]$ \(y^2+xy+y=x^3-5x-16\) 2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.?
1002.e1 1002.e \( 2 \cdot 3 \cdot 167 \) $1$ $\mathsf{trivial}$ $0.048234294$ $[1, 0, 0, -27, 81]$ \(y^2+xy=x^3-27x+81\) 1336.2.0.?
1003.a1 1003.a \( 17 \cdot 59 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, 63, -332]$ \(y^2+xy+y=x^3-x^2+63x-332\) 118.2.0.?
1003.b1 1003.b \( 17 \cdot 59 \) $1$ $\mathsf{trivial}$ $0.701450453$ $[0, -1, 1, 1, 1]$ \(y^2+y=x^3-x^2+x+1\) 2006.2.0.?
1003.c1 1003.c \( 17 \cdot 59 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -8, -11]$ \(y^2+xy+y=x^3-8x-11\) 118.2.0.?
1003.d1 1003.d \( 17 \cdot 59 \) $1$ $\mathsf{trivial}$ $0.545993865$ $[0, 0, 1, -41, 135]$ \(y^2+y=x^3-41x+135\) 2006.2.0.?
1005.a1 1005.a \( 3 \cdot 5 \cdot 67 \) $1$ $\mathsf{trivial}$ $0.312315735$ $[0, 1, 1, -3001, -70904]$ \(y^2+y=x^3+x^2-3001x-70904\) 3.8.0-3.a.1.1, 134.2.0.?, 402.16.0.?
1005.a2 1005.a \( 3 \cdot 5 \cdot 67 \) $1$ $\Z/3\Z$ $0.936947207$ $[0, 1, 1, 239, 295]$ \(y^2+y=x^3+x^2+239x+295\) 3.8.0-3.a.1.2, 134.2.0.?, 402.16.0.?
1005.b1 1005.b \( 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -297, -1944]$ \(y^2+xy=x^3+x^2-297x-1944\) 2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.?
1005.b2 1005.b \( 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 328, -8319]$ \(y^2+xy=x^3+x^2+328x-8319\) 2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.?
1006.a1 1006.a \( 2 \cdot 503 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -32, 24]$ \(y^2+xy=x^3-x^2-32x+24\) 2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?
1006.a2 1006.a \( 2 \cdot 503 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 8, 0]$ \(y^2+xy=x^3-x^2+8x\) 2.3.0.a.1, 8.6.0.c.1, 1006.6.0.?, 4024.12.0.?
1006.b1 1006.b \( 2 \cdot 503 \) $1$ $\mathsf{trivial}$ $0.284628487$ $[1, 0, 1, -2, 4]$ \(y^2+xy+y=x^3-2x+4\) 1006.2.0.?
1006.c1 1006.c \( 2 \cdot 503 \) $1$ $\mathsf{trivial}$ $0.071754489$ $[1, -1, 1, -135, 639]$ \(y^2+xy+y=x^3-x^2-135x+639\) 1006.2.0.?
1006.d1 1006.d \( 2 \cdot 503 \) $1$ $\mathsf{trivial}$ $0.106360665$ $[1, 1, 1, -23, 45]$ \(y^2+xy+y=x^3+x^2-23x+45\) 1006.2.0.?
1006.e1 1006.e \( 2 \cdot 503 \) $1$ $\mathsf{trivial}$ $0.324915587$ $[1, 0, 0, 5, 1]$ \(y^2+xy=x^3+5x+1\) 1006.2.0.?
1007.a1 1007.a \( 19 \cdot 53 \) $1$ $\mathsf{trivial}$ $1.565031016$ $[0, 0, 1, 61, -105]$ \(y^2+y=x^3+61x-105\) 38.2.0.a.1
1008.a1 1008.a \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -327, -2270]$ \(y^2=x^3-327x-2270\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?
1008.a2 1008.a \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -12, -65]$ \(y^2=x^3-12x-65\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?
1008.b1 1008.b \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -36291, 2661010]$ \(y^2=x^3-36291x+2661010\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3531, -9686]$ \(y^2=x^3-3531x-9686\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -2271, 41470]$ \(y^2=x^3-2271x+41470\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -66, 1339]$ \(y^2=x^3-66x+1339\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.476444740$ $[0, 0, 0, -6, -5]$ \(y^2=x^3-6x-5\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.738222370$ $[0, 0, 0, 9, -26]$ \(y^2=x^3+9x-26\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
1008.d1 1008.d \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.137828769$ $[0, 0, 0, -2691, 53730]$ \(y^2=x^3-2691x+53730\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.284457192$ $[0, 0, 0, -531, -3726]$ \(y^2=x^3-531x-3726\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.568914384$ $[0, 0, 0, -171, 810]$ \(y^2=x^3-171x+810\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.137828769$ $[0, 0, 0, 9, 54]$ \(y^2=x^3+9x+54\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.688154321$ $[0, 0, 0, -1371, 19514]$ \(y^2=x^3-1371x+19514\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.376308643$ $[0, 0, 0, -111, 110]$ \(y^2=x^3-111x+110\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.752617286$ $[0, 0, 0, -66, -205]$ \(y^2=x^3-66x-205\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/4\Z$ $0.688154321$ $[0, 0, 0, 429, 866]$ \(y^2=x^3+429x+866\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -111, -450]$ \(y^2=x^3-111x-450\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -6, -9]$ \(y^2=x^3-6x-9\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?
1008.g1 1008.g \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $5.679364664$ $[0, 0, 0, -16455, -812446]$ \(y^2=x^3-16455x-812446\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $2.839682332$ $[0, 0, 0, -1020, -12913]$ \(y^2=x^3-1020x-12913\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $1.893121554$ $[0, 0, 0, -255, -502]$ \(y^2=x^3-255x-502\) 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 \( 2^{4} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $0.946560777$ $[0, 0, 0, 60, -61]$ \(y^2=x^3+60x-61\) 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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