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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
122010.a1 122010.a \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $2$ $\mathsf{trivial}$ $1.574987868$ $[1, 1, 0, -88, 232]$ \(y^2+xy=x^3+x^2-88x+232\) 3320.2.0.?
122010.b1 122010.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -274523, 3588847893]$ \(y^2+xy=x^3+x^2-274523x+3588847893\) 3.4.0.a.1, 21.8.0-3.a.1.2, 9960.8.0.?, 69720.16.0.?
122010.b2 122010.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 30502, -132884142]$ \(y^2+xy=x^3+x^2+30502x-132884142\) 3.4.0.a.1, 21.8.0-3.a.1.1, 9960.8.0.?, 69720.16.0.?
122010.c1 122010.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $0.698384057$ $[1, 1, 0, -508, 4012]$ \(y^2+xy=x^3+x^2-508x+4012\) 2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.?
122010.c2 122010.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $1.396768114$ $[1, 1, 0, -88, -272]$ \(y^2+xy=x^3+x^2-88x-272\) 2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.?
122010.d1 122010.d \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\mathsf{trivial}$ $0.276811149$ $[1, 1, 0, -928673, 344215677]$ \(y^2+xy=x^3+x^2-928673x+344215677\) 3.4.0.a.1, 21.8.0-3.a.1.2, 1992.8.0.?, 4648.2.0.?, 13944.16.0.?
122010.d2 122010.d \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\mathsf{trivial}$ $0.830433447$ $[1, 1, 0, 8452, 1878402]$ \(y^2+xy=x^3+x^2+8452x+1878402\) 3.4.0.a.1, 21.8.0-3.a.1.1, 1992.8.0.?, 4648.2.0.?, 13944.16.0.?
122010.e1 122010.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2573, -46563]$ \(y^2+xy=x^3+x^2-2573x-46563\) 2.3.0.a.1, 24.6.0.c.1, 5810.6.0.?, 69720.12.0.?
122010.e2 122010.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 3307, -221787]$ \(y^2+xy=x^3+x^2+3307x-221787\) 2.3.0.a.1, 24.6.0.b.1, 11620.6.0.?, 69720.12.0.?
122010.f1 122010.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $2.373036747$ $[1, 1, 0, -56277, -5157459]$ \(y^2+xy=x^3+x^2-56277x-5157459\) 2.3.0.a.1, 56.6.0.c.1, 498.6.0.?, 13944.12.0.?
122010.f2 122010.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $1.186518373$ $[1, 1, 0, -42557, -7717611]$ \(y^2+xy=x^3+x^2-42557x-7717611\) 2.3.0.a.1, 56.6.0.b.1, 996.6.0.?, 13944.12.0.?
122010.g1 122010.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -38882, 960534]$ \(y^2+xy=x^3+x^2-38882x+960534\) 2.3.0.a.1, 280.6.0.?, 996.6.0.?, 69720.12.0.?
122010.g2 122010.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -21732, -1231236]$ \(y^2+xy=x^3+x^2-21732x-1231236\) 2.3.0.a.1, 280.6.0.?, 498.6.0.?, 69720.12.0.?
122010.h1 122010.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -2736577, -1743589259]$ \(y^2+xy=x^3+x^2-2736577x-1743589259\) 4648.2.0.?
122010.i1 122010.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $2$ $\Z/2\Z$ $1.646773240$ $[1, 1, 0, -14845212, 21707761104]$ \(y^2+xy=x^3+x^2-14845212x+21707761104\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$
122010.i2 122010.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $2$ $\Z/2\Z$ $14.82095916$ $[1, 1, 0, -1555677, -733336659]$ \(y^2+xy=x^3+x^2-1555677x-733336659\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$
122010.i3 122010.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $2$ $\Z/2\Z$ $1.646773240$ $[1, 1, 0, -1125212, 60291145104]$ \(y^2+xy=x^3+x^2-1125212x+60291145104\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0-6.a.1.4, $\ldots$
122010.i4 122010.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $2$ $\Z/2\Z$ $14.82095916$ $[1, 1, 0, 125023, -2232857199]$ \(y^2+xy=x^3+x^2+125023x-2232857199\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0-6.a.1.3, $\ldots$
122010.j1 122010.j \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3707, 21981]$ \(y^2+xy=x^3+x^2-3707x+21981\) 2.3.0.a.1, 56.6.0.c.1, 3320.6.0.?, 5810.6.0.?, 23240.12.0.?
122010.j2 122010.j \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 14213, 190429]$ \(y^2+xy=x^3+x^2+14213x+190429\) 2.3.0.a.1, 56.6.0.b.1, 3320.6.0.?, 11620.6.0.?, 23240.12.0.?
122010.k1 122010.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -276015947, 1763071924209]$ \(y^2+xy=x^3+x^2-276015947x+1763071924209\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$
122010.k2 122010.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -199719027, -1077737759559]$ \(y^2+xy=x^3+x^2-199719027x-1077737759559\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$
122010.k3 122010.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -21828447, 11770886709]$ \(y^2+xy=x^3+x^2-21828447x+11770886709\) 2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 420.24.0.?, $\ldots$
122010.k4 122010.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 5176433, 1438819621]$ \(y^2+xy=x^3+x^2+5176433x+1438819621\) 2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$
122010.l1 122010.l \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -148642, -20852894]$ \(y^2+xy=x^3+x^2-148642x-20852894\) 2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?
122010.l2 122010.l \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -28592, 1452396]$ \(y^2+xy=x^3+x^2-28592x+1452396\) 2.3.0.a.1, 40.6.0.c.1, 498.6.0.?, 9960.12.0.?
122010.m1 122010.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -18251937, -30021571971]$ \(y^2+xy=x^3+x^2-18251937x-30021571971\) 4648.2.0.?
122010.n1 122010.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2204682, 616329876]$ \(y^2+xy=x^3+x^2-2204682x+616329876\) 2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.?
122010.n2 122010.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1875402, 987296724]$ \(y^2+xy=x^3+x^2-1875402x+987296724\) 2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.?
122010.o1 122010.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -167507, -26457171]$ \(y^2+xy=x^3+x^2-167507x-26457171\) 2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?
122010.o2 122010.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -10707, -397011]$ \(y^2+xy=x^3+x^2-10707x-397011\) 2.3.0.a.1, 40.6.0.c.1, 498.6.0.?, 9960.12.0.?
122010.p1 122010.p \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\mathsf{trivial}$ $6.594695519$ $[1, 0, 1, -175054, -43179244]$ \(y^2+xy+y=x^3-175054x-43179244\) 11620.2.0.?
122010.q1 122010.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $2.152766924$ $[1, 0, 1, -5466074, 4918368872]$ \(y^2+xy+y=x^3-5466074x+4918368872\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 280.24.0.?, $\ldots$
122010.q2 122010.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.076383462$ $[1, 0, 1, -341654, 76816856]$ \(y^2+xy+y=x^3-341654x+76816856\) 2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 332.12.0.?, $\ldots$
122010.q3 122010.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $2.152766924$ $[1, 0, 1, -297554, 97385096]$ \(y^2+xy+y=x^3-297554x+97385096\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$
122010.q4 122010.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $0.538191731$ $[1, 0, 1, -24134, 866072]$ \(y^2+xy+y=x^3-24134x+866072\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$
122010.r1 122010.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -4768286410074, -3965581960364722484]$ \(y^2+xy+y=x^3-4768286410074x-3965581960364722484\) 2.3.0.a.1, 56.6.0.c.1, 498.6.0.?, 13944.12.0.?
122010.r2 122010.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -892725993794, -10225390245188511508]$ \(y^2+xy+y=x^3-892725993794x-10225390245188511508\) 2.3.0.a.1, 56.6.0.b.1, 996.6.0.?, 13944.12.0.?
122010.s1 122010.s \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -22419, -1298258]$ \(y^2+xy+y=x^3-22419x-1298258\) 11620.2.0.?
122010.t1 122010.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $5.703970382$ $[1, 0, 1, -181669, -8084464]$ \(y^2+xy+y=x^3-181669x-8084464\) 2.3.0.a.1, 56.6.0.c.1, 3320.6.0.?, 5810.6.0.?, 23240.12.0.?
122010.t2 122010.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $2.851985191$ $[1, 0, 1, 696411, -63227888]$ \(y^2+xy+y=x^3+696411x-63227888\) 2.3.0.a.1, 56.6.0.b.1, 3320.6.0.?, 11620.6.0.?, 23240.12.0.?
122010.u1 122010.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\mathsf{trivial}$ $0.772365573$ $[1, 0, 1, -372489, 87473236]$ \(y^2+xy+y=x^3-372489x+87473236\) 4648.2.0.?
122010.v1 122010.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $4.256946681$ $[1, 0, 1, -44994, -1803308]$ \(y^2+xy+y=x^3-44994x-1803308\) 2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.?
122010.v2 122010.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $1$ $\Z/2\Z$ $8.513893362$ $[1, 0, 1, -38274, -2883884]$ \(y^2+xy+y=x^3-38274x-2883884\) 2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.?
122010.w1 122010.w \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -69410878, -222587464144]$ \(y^2+xy+y=x^3-69410878x-222587464144\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$
122010.w2 122010.w \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -4338878, -3477025744]$ \(y^2+xy+y=x^3-4338878x-3477025744\) 2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, $\ldots$
122010.w3 122010.w \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -3492158, -4874452432]$ \(y^2+xy+y=x^3-3492158x-4874452432\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$
122010.w4 122010.w \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -324798, -31339472]$ \(y^2+xy+y=x^3-324798x-31339472\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$
122010.x1 122010.x \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -4338, -92564]$ \(y^2+xy+y=x^3-4338x-92564\) 3320.2.0.?
122010.y1 122010.y \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -479638, -77025112]$ \(y^2+xy+y=x^3-479638x-77025112\) 2.3.0.a.1, 20.6.0.b.1, 498.6.0.?, 4980.12.0.?
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