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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
29744.a1 29744.a \( 2^{4} \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.327327738$ $[0, 0, 0, 4901, -136214]$ \(y^2=x^3+4901x-136214\) 104.2.0.?
29744.b1 29744.b \( 2^{4} \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.237561603$ $[0, 0, 0, -3523, 127426]$ \(y^2=x^3-3523x+127426\) 104.2.0.?
29744.c1 29744.c \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.895716054$ $[0, 0, 0, -595387, 279954922]$ \(y^2=x^3-595387x+279954922\) 104.2.0.?
29744.d1 29744.d \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.401405975$ $[0, 1, 0, -9520, -902316]$ \(y^2=x^3+x^2-9520x-902316\) 88.2.0.?
29744.e1 29744.e \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1226761592, 16537796026324]$ \(y^2=x^3+x^2-1226761592x+16537796026324\) 4.2.0.a.1, 572.4.0.?
29744.f1 29744.f \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.844323755$ $[0, 1, 0, -24392, -1475564]$ \(y^2=x^3+x^2-24392x-1475564\) 1144.2.0.?
29744.g1 29744.g \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.446194562$ $[0, 1, 0, -56, 114388]$ \(y^2=x^3+x^2-56x+114388\) 1144.2.0.?
29744.h1 29744.h \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -178520, 40057876]$ \(y^2=x^3+x^2-178520x+40057876\) 1144.2.0.?
29744.i1 29744.i \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.982778129$ $[0, 1, 0, -7258944, 7525211188]$ \(y^2=x^3+x^2-7258944x+7525211188\) 4.2.0.a.1, 44.4.0-4.a.1.1
29744.j1 29744.j \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -56, -428]$ \(y^2=x^3+x^2-56x-428\) 88.2.0.?
29744.k1 29744.k \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.504641386$ $[0, -1, 0, -282117, 59071609]$ \(y^2=x^3-x^2-282117x+59071609\) 3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.?
29744.k2 29744.k \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.834880462$ $[0, -1, 0, 15323, 327209]$ \(y^2=x^3-x^2+15323x+327209\) 3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.?
29744.l1 29744.l \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -40785, -3157571]$ \(y^2=x^3-x^2-40785x-3157571\) 22.2.0.a.1
29744.m1 29744.m \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -486945, -162704387]$ \(y^2=x^3-x^2-486945x-162704387\) 22.2.0.a.1
29744.n1 29744.n \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -13069, 582737]$ \(y^2=x^3-x^2-13069x+582737\) 3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.?
29744.n2 29744.n \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 451, 4081]$ \(y^2=x^3-x^2+451x+4081\) 3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.?
29744.o1 29744.o \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -61139, 5981586]$ \(y^2=x^3-61139x+5981586\) 1144.2.0.?
29744.p1 29744.p \( 2^{4} \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.618176741$ $[0, 0, 0, -3419, 76986]$ \(y^2=x^3-3419x+76986\) 4.8.0.b.1, 52.16.0-4.b.1.1
29744.q1 29744.q \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.928060902$ $[0, 0, 0, -2171, -38870]$ \(y^2=x^3-2171x-38870\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.?
29744.q2 29744.q \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.856121805$ $[0, 0, 0, -91, -1014]$ \(y^2=x^3-91x-1014\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.?
29744.r1 29744.r \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2197, 742586]$ \(y^2=x^3+2197x+742586\) 1144.2.0.?
29744.s1 29744.s \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -87880, 10024911]$ \(y^2=x^3-87880x+10024911\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 26.6.0.b.1, 44.12.0.m.1, $\ldots$
29744.s2 29744.s \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -76895, 12623962]$ \(y^2=x^3-76895x+12623962\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 52.12.0.l.1, 88.24.0.?, $\ldots$
29744.t1 29744.t \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.412804635$ $[0, 0, 0, -520, 4563]$ \(y^2=x^3-520x+4563\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 26.6.0.b.1, 44.12.0.m.1, $\ldots$
29744.t2 29744.t \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $4.825609271$ $[0, 0, 0, -455, 5746]$ \(y^2=x^3-455x+5746\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 52.12.0.l.1, 88.24.0.?, $\ldots$
29744.u1 29744.u \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.426775757$ $[0, 0, 0, 13, 338]$ \(y^2=x^3+13x+338\) 1144.2.0.?
29744.v1 29744.v \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -366899, -85397390]$ \(y^2=x^3-366899x-85397390\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.?
29744.v2 29744.v \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -15379, -2227758]$ \(y^2=x^3-15379x-2227758\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.?
29744.w1 29744.w \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.301289913$ $[0, 0, 0, -577811, 169138242]$ \(y^2=x^3-577811x+169138242\) 4.16.0-4.b.1.1
29744.x1 29744.x \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $6.352042617$ $[0, 0, 0, -10332491, 13141544442]$ \(y^2=x^3-10332491x+13141544442\) 1144.2.0.?
29744.y1 29744.y \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $6.362457106$ $[0, 1, 0, -21146181, 37420901363]$ \(y^2=x^3+x^2-21146181x+37420901363\) 5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 260.24.0.?, $\ldots$
29744.y2 29744.y \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.272491421$ $[0, 1, 0, -27941, 3246803]$ \(y^2=x^3+x^2-27941x+3246803\) 5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 260.120.0.?, 275.300.12.?, $\ldots$
29744.y3 29744.y \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $6.362457106$ $[0, 1, 0, -901, -25037]$ \(y^2=x^3+x^2-901x-25037\) 5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 260.24.0.?, $\ldots$
29744.z1 29744.z \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.682218453$ $[0, 1, 0, -75522776, 252654335636]$ \(y^2=x^3+x^2-75522776x+252654335636\) 5.12.0.a.2, 40.24.0-5.a.2.7, 104.2.0.?, 260.24.0.?, 520.48.1.?
29744.z2 29744.z \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.411092266$ $[0, 1, 0, 757064, -38628524]$ \(y^2=x^3+x^2+757064x-38628524\) 5.12.0.a.1, 40.24.0-5.a.1.7, 104.2.0.?, 260.24.0.?, 520.48.1.?
29744.ba1 29744.ba \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -3605, 302147]$ \(y^2=x^3+x^2-3605x+302147\) 22.2.0.a.1
29744.bb1 29744.bb \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -90640, -10561004]$ \(y^2=x^3+x^2-90640x-10561004\) 104.2.0.?
29744.bc1 29744.bc \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 35096, -24140492]$ \(y^2=x^3+x^2+35096x-24140492\) 104.2.0.?
29744.bd1 29744.bd \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -17632, -6011136]$ \(y^2=x^3-x^2-17632x-6011136\) 3.4.0.a.1, 156.8.0.?, 264.8.0.?, 1144.2.0.?, 3432.16.0.?
29744.bd2 29744.bd \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 158128, 159203264]$ \(y^2=x^3-x^2+158128x+159203264\) 3.4.0.a.1, 156.8.0.?, 264.8.0.?, 1144.2.0.?, 3432.16.0.?
29744.be1 29744.be \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -472, -5136]$ \(y^2=x^3-x^2-472x-5136\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 78.8.0.?, 132.16.0.?, $\ldots$
29744.be2 29744.be \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 3688, 61424]$ \(y^2=x^3-x^2+3688x+61424\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 78.8.0.?, 132.16.0.?, $\ldots$
29744.bf1 29744.bf \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.053689904$ $[0, -1, 0, -56, -2848]$ \(y^2=x^3-x^2-56x-2848\) 4.2.0.a.1, 44.4.0-4.a.1.1
29744.bg1 29744.bg \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -143368, 21091056]$ \(y^2=x^3-x^2-143368x+21091056\) 3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.?
29744.bg2 29744.bg \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 5352, 151280]$ \(y^2=x^3-x^2+5352x+151280\) 3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.?
29744.bh1 29744.bh \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $16.93454217$ $[0, -1, 0, -24229248, 46240133120]$ \(y^2=x^3-x^2-24229248x+46240133120\) 3.4.0.a.1, 88.2.0.?, 156.8.0.?, 264.8.0.?, 3432.16.0.?
29744.bh2 29744.bh \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.644847390$ $[0, -1, 0, 904432, 335979968]$ \(y^2=x^3-x^2+904432x+335979968\) 3.4.0.a.1, 88.2.0.?, 156.8.0.?, 264.8.0.?, 3432.16.0.?
29744.bi1 29744.bi \( 2^{4} \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9520, -6295056]$ \(y^2=x^3-x^2-9520x-6295056\) 4.2.0.a.1, 572.4.0.?
29744.bj1 29744.bj \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.488604904$ $[0, -1, 0, -79824, -11603008]$ \(y^2=x^3-x^2-79824x-11603008\) 3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 44.4.0-4.a.1.1, $\ldots$
29744.bj2 29744.bj \( 2^{4} \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.829534968$ $[0, -1, 0, 623216, 137441472]$ \(y^2=x^3-x^2+623216x+137441472\) 3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.a.1.2, 44.4.0-4.a.1.1, $\ldots$
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