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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
76296.a1 76296.a \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2316720, -1356473124]$ \(y^2=x^3-x^2-2316720x-1356473124\) 2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?
76296.a2 76296.a \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2305160, -1370691924]$ \(y^2=x^3-x^2-2305160x-1370691924\) 2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?
76296.b1 76296.b \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $1.634250436$ $[0, -1, 0, 23, -131]$ \(y^2=x^3-x^2+23x-131\) 22.2.0.a.1
76296.c1 76296.c \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1858944, 975437820]$ \(y^2=x^3-x^2-1858944x+975437820\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 66.6.0.a.1, 132.12.0.?, $\ldots$
76296.c2 76296.c \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1223144, -514775652]$ \(y^2=x^3-x^2-1223144x-514775652\) 2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 408.24.0.?, 748.24.0.?, $\ldots$
76296.c3 76296.c \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -142284, 7928244]$ \(y^2=x^3-x^2-142284x+7928244\) 2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$
76296.c4 76296.c \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, 32561, 934444]$ \(y^2=x^3-x^2+32561x+934444\) 2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$
76296.d1 76296.d \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $2$ $\Z/2\Z$ $2.084730396$ $[0, -1, 0, -164, 804]$ \(y^2=x^3-x^2-164x+804\) 2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.?
76296.d2 76296.d \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $2$ $\Z/2\Z$ $2.084730396$ $[0, -1, 0, 176, 3388]$ \(y^2=x^3-x^2+176x+3388\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
76296.e1 76296.e \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.455367613$ $[0, -1, 0, 8319, 306549]$ \(y^2=x^3-x^2+8319x+306549\) 22.2.0.a.1
76296.f1 76296.f \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2408, 14268]$ \(y^2=x^3-x^2-2408x+14268\) 2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?
76296.f2 76296.f \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 9152, 102124]$ \(y^2=x^3-x^2+9152x+102124\) 2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?
76296.g1 76296.g \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $2$ $\Z/2\Z$ $5.177333911$ $[0, -1, 0, -250948, 48355876]$ \(y^2=x^3-x^2-250948x+48355876\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
76296.g2 76296.g \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $2$ $\Z/2\Z$ $5.177333911$ $[0, -1, 0, -152688, 86520060]$ \(y^2=x^3-x^2-152688x+86520060\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
76296.h1 76296.h \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -534809913, -5025601030131]$ \(y^2=x^3-x^2-534809913x-5025601030131\) 374.2.0.?
76296.i1 76296.i \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -378108, 89523348]$ \(y^2=x^3-x^2-378108x+89523348\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
76296.i2 76296.i \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -279848, 137041884]$ \(y^2=x^3-x^2-279848x+137041884\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
76296.j1 76296.j \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $15.52482849$ $[0, -1, 0, -53272, -4711460]$ \(y^2=x^3-x^2-53272x-4711460\) 2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?
76296.j2 76296.j \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $7.762414248$ $[0, -1, 0, -41712, -6824628]$ \(y^2=x^3-x^2-41712x-6824628\) 2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.?
76296.k1 76296.k \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -203552, 35415612]$ \(y^2=x^3-x^2-203552x+35415612\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$
76296.k2 76296.k \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -30152, -1234212]$ \(y^2=x^3-x^2-30152x-1234212\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$
76296.k3 76296.k \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -12812, 548340]$ \(y^2=x^3-x^2-12812x+548340\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$
76296.k4 76296.k \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 193, 28140]$ \(y^2=x^3-x^2+193x+28140\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$
76296.l1 76296.l \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.911042367$ $[0, -1, 0, 193, -3072]$ \(y^2=x^3-x^2+193x-3072\) 6.2.0.a.1
76296.m1 76296.m \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -60497, 16413573]$ \(y^2=x^3-x^2-60497x+16413573\) 374.2.0.?
76296.n1 76296.n \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.511066454$ $[0, -1, 0, -3671552, -2194244820]$ \(y^2=x^3-x^2-3671552x-2194244820\) 2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?
76296.n2 76296.n \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $11.02213290$ $[0, -1, 0, -3475032, -2492090532]$ \(y^2=x^3-x^2-3475032x-2492090532\) 2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?
76296.o1 76296.o \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -22060, 594944]$ \(y^2=x^3+x^2-22060x+594944\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
76296.o2 76296.o \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 76200, 4525344]$ \(y^2=x^3+x^2+76200x+4525344\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
76296.p1 76296.p \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -136504, 19363760]$ \(y^2=x^3+x^2-136504x+19363760\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 136.12.0.?, $\ldots$
76296.p2 76296.p \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -9344, 238896]$ \(y^2=x^3+x^2-9344x+238896\) 2.6.0.a.1, 24.12.0.a.1, 88.12.0.?, 132.12.0.?, 136.12.0.?, $\ldots$
76296.p3 76296.p \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -3564, -80160]$ \(y^2=x^3+x^2-3564x-80160\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 66.6.0.a.1, 88.12.0.?, $\ldots$
76296.p4 76296.p \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 25336, 1626096]$ \(y^2=x^3+x^2+25336x+1626096\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 88.12.0.?, 136.12.0.?, $\ldots$
76296.q1 76296.q \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 55681, -14758470]$ \(y^2=x^3+x^2+55681x-14758470\) 6.2.0.a.1
76296.r1 76296.r \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -11708064, 827356896]$ \(y^2=x^3+x^2-11708064x+827356896\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 264.24.0.?, $\ldots$
76296.r2 76296.r \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -8274744, 9135991296]$ \(y^2=x^3+x^2-8274744x+9135991296\) 2.6.0.a.1, 8.12.0.b.1, 68.12.0-2.a.1.1, 132.12.0.?, 136.24.0.?, $\ldots$
76296.r3 76296.r \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -8268964, 9149428640]$ \(y^2=x^3+x^2-8268964x+9149428640\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 68.12.0-4.c.1.2, $\ldots$
76296.r4 76296.r \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4933904, 16584728160]$ \(y^2=x^3+x^2-4933904x+16584728160\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$
76296.s1 76296.s \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 2404095, 1520499987]$ \(y^2=x^3+x^2+2404095x+1520499987\) 22.2.0.a.1
76296.t1 76296.t \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -47492, 3665280]$ \(y^2=x^3+x^2-47492x+3665280\) 2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.?
76296.t2 76296.t \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 50768, 16950032]$ \(y^2=x^3+x^2+50768x+16950032\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
76296.u1 76296.u \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.106664290$ $[0, 1, 0, -238232, -42875280]$ \(y^2=x^3+x^2-238232x-42875280\) 2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?
76296.u2 76296.u \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\Z/2\Z$ $4.053332145$ $[0, 1, 0, -41712, 2402928]$ \(y^2=x^3+x^2-41712x+2402928\) 2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?
76296.v1 76296.v \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $9.349826041$ $[0, 1, 0, 6551, -604117]$ \(y^2=x^3+x^2+6551x-604117\) 22.2.0.a.1
76296.w1 76296.w \( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 38919, -7327413]$ \(y^2=x^3+x^2+38919x-7327413\) 374.2.0.?
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