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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
101568.a1 101568.a \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.823193735$ $[0, -1, 0, -70625, -7200639]$ \(y^2=x^3-x^2-70625x-7200639\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 24.24.0.dn.1, 92.12.0.?, $\ldots$ $[(523, 9932)]$
101568.a2 101568.a \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.911596867$ $[0, -1, 0, -4385, -112959]$ \(y^2=x^3-x^2-4385x-112959\) 2.3.0.a.1, 4.12.0.f.1, 24.24.0.dt.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ $[(109, 832)]$
101568.b1 101568.b \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.255897473$ $[0, -1, 0, -245, 1581]$ \(y^2=x^3-x^2-245x+1581\) 6.2.0.a.1 $[(12, 15)]$
101568.c1 101568.c \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.954653059$ $[0, -1, 0, 16223, 31005121]$ \(y^2=x^3-x^2+16223x+31005121\) 4.8.0.b.1, 8.16.0-4.b.1.1 $[(-176, 4761)]$
101568.d1 101568.d \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.424368645$ $[0, -1, 0, -29409, -1954431]$ \(y^2=x^3-x^2-29409x-1954431\) 24.2.0.b.1 $[(205, 768)]$
101568.e1 101568.e \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.655331130$ $[0, -1, 0, -3649, 84289]$ \(y^2=x^3-x^2-3649x+84289\) 2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? $[(49, 144), (40, 27)]$
101568.e2 101568.e \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.655331130$ $[0, -1, 0, 31, 4065]$ \(y^2=x^3-x^2+31x+4065\) 2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? $[(8, 69), (1, 64)]$
101568.f1 101568.f \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.998763708$ $[0, -1, 0, -421789, 105029149]$ \(y^2=x^3-x^2-421789x+105029149\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? $[(10121/5, 84744/5)]$
101568.f2 101568.f \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.999381854$ $[0, -1, 0, -178449, 225093105]$ \(y^2=x^3-x^2-178449x+225093105\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? $[(645, 19440)]$
101568.g1 101568.g \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $10.66511108$ $[0, -1, 0, -51489, 1567329]$ \(y^2=x^3-x^2-51489x+1567329\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(-61, 2116), (1055, 33472)]$
101568.g2 101568.g \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $2.666277770$ $[0, -1, 0, 11991, 183465]$ \(y^2=x^3-x^2+11991x+183465\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(8, 529), (-3, 384)]$
101568.h1 101568.h \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.117630966$ $[0, -1, 0, -1067169, 424344129]$ \(y^2=x^3-x^2-1067169x+424344129\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(1424, 42311)]$
101568.h2 101568.h \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.558815483$ $[0, -1, 0, -51489, 9743553]$ \(y^2=x^3-x^2-51489x+9743553\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(-163, 3712)]$
101568.i1 101568.i \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $99.09146184$ $[0, -1, 0, -19402309, -32894210915]$ \(y^2=x^3-x^2-19402309x-32894210915\) 6.2.0.a.1 $[(7302368187433264043552176368520480365977332/37278371924929983117, 5236766944329185260640262930976161206453362634818612051518948143/37278371924929983117)]$
101568.j1 101568.j \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.071795836$ $[0, -1, 0, 31, -351]$ \(y^2=x^3-x^2+31x-351\) 24.2.0.b.1 $[(9, 24)]$
101568.k1 101568.k \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.172699637$ $[0, -1, 0, -787489, 269239489]$ \(y^2=x^3-x^2-787489x+269239489\) 24.2.0.b.1 $[(509, 144)]$
101568.l1 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.678512251$ $[0, -1, 0, -813249, -282010527]$ \(y^2=x^3-x^2-813249x-282010527\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ $[(1733, 59248)]$
101568.l2 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.339256125$ $[0, -1, 0, -136129, 19375585]$ \(y^2=x^3-x^2-136129x+19375585\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ $[(192, 529)]$
101568.l3 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.357024503$ $[0, -1, 0, -51489, -4272831]$ \(y^2=x^3-x^2-51489x-4272831\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 92.24.0.?, $\ldots$ $[(1143, 37800)]$
101568.l4 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.678512251$ $[0, -1, 0, -9169, 255409]$ \(y^2=x^3-x^2-9169x+255409\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ $[(85, 288)]$
101568.l5 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.357024503$ $[0, -1, 0, 1411, 24765]$ \(y^2=x^3-x^2+1411x+24765\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ $[(-71/3, 3088/3)]$
101568.l6 101568.l \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.71404900$ $[0, -1, 0, 33151, -17019615]$ \(y^2=x^3-x^2+33151x-17019615\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 92.12.0.?, $\ldots$ $[(705911/25, 597023784/25)]$
101568.m1 101568.m \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $7.786739918$ $[0, -1, 0, 64891, -6323235]$ \(y^2=x^3-x^2+64891x-6323235\) 6.6.0.b.1 $[(133188/13, 50753847/13)]$
101568.n1 101568.n \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -252278689, -1542216255071]$ \(y^2=x^3-x^2-252278689x-1542216255071\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? $[ ]$
101568.n2 101568.n \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -15752209, -24142001135]$ \(y^2=x^3-x^2-15752209x-24142001135\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? $[ ]$
101568.o1 101568.o \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $24.56231740$ $[0, -1, 0, -2421409, -1449246911]$ \(y^2=x^3-x^2-2421409x-1449246911\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(38165585040/3043, 6819399935665949/3043)]$
101568.o2 101568.o \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.28115870$ $[0, -1, 0, -136129, -27345695]$ \(y^2=x^3-x^2-136129x-27345695\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(1153917/17, 1233816928/17)]$
101568.p1 101568.p \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6230209, -5983445567]$ \(y^2=x^3-x^2-6230209x-5983445567\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.9, 184.24.0.?, $\ldots$ $[ ]$
101568.p2 101568.p \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -643969, 43294849]$ \(y^2=x^3-x^2-643969x+43294849\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.s.1.5, 184.24.0.?, $\ldots$ $[ ]$
101568.p3 101568.p \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -390049, -93060191]$ \(y^2=x^3-x^2-390049x-93060191\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.b.1.7, 92.12.0.?, $\ldots$ $[ ]$
101568.p4 101568.p \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9169, -3248687]$ \(y^2=x^3-x^2-9169x-3248687\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.1, 46.6.0.a.1, $\ldots$ $[ ]$
101568.q1 101568.q \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $5.397239464$ $[0, -1, 0, -12481, -840863]$ \(y^2=x^3-x^2-12481x-840863\) 4.8.0.b.1, 184.16.0.? $[(592, 14103)]$
101568.r1 101568.r \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.658177767$ $[0, -1, 0, 7759, 18417]$ \(y^2=x^3-x^2+7759x+18417\) 4.4.0-4.a.1.1 $[(11, 324)]$
101568.s1 101568.s \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -190616, -31983438]$ \(y^2=x^3-x^2-190616x-31983438\) 4.4.0-4.a.1.1 $[ ]$
101568.t1 101568.t \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $16.00961502$ $[0, -1, 0, -1541153, -735613215]$ \(y^2=x^3-x^2-1541153x-735613215\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[(8094424/35, 22587425743/35)]$
101568.t2 101568.t \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.004807512$ $[0, -1, 0, -81113, -15229479]$ \(y^2=x^3-x^2-81113x-15229479\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[(10001/5, 502824/5)]$
101568.u1 101568.u \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.767264252$ $[0, -1, 0, -98707873, 377497101505]$ \(y^2=x^3-x^2-98707873x+377497101505\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? $[(5739, 284)]$
101568.u2 101568.u \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.383632126$ $[0, -1, 0, -6154033, 5930455441]$ \(y^2=x^3-x^2-6154033x+5930455441\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? $[(1365, 8464)]$
101568.v1 101568.v \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -26086753, -8752849439]$ \(y^2=x^3-x^2-26086753x-8752849439\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.8, $\ldots$ $[ ]$
101568.v2 101568.v \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -19484833, -33098394335]$ \(y^2=x^3-x^2-19484833x-33098394335\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 24.48.0-12.h.1.6, $\ldots$ $[ ]$
101568.v3 101568.v \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1202593, -530411999]$ \(y^2=x^3-x^2-1202593x-530411999\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.6, $\ldots$ $[ ]$
101568.v4 101568.v \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 6415007, -1088934431]$ \(y^2=x^3-x^2+6415007x-1088934431\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 24.48.0-12.i.1.8, $\ldots$ $[ ]$
101568.w1 101568.w \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -153, 891]$ \(y^2=x^3-x^2-153x+891\) 6.2.0.a.1 $[ ]$
101568.x1 101568.x \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.746539757$ $[0, -1, 0, -186913, 30294145]$ \(y^2=x^3-x^2-186913x+30294145\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(629, 12696)]$
101568.x2 101568.x \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.493079514$ $[0, -1, 0, 3527, 1613881]$ \(y^2=x^3-x^2+3527x+1613881\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(55, 1404)]$
101568.y1 101568.y \( 2^{6} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -81113, -10192341]$ \(y^2=x^3-x^2-81113x-10192341\) 6.2.0.a.1 $[ ]$
101568.z1 101568.z \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $19.14473513$ $[0, -1, 0, -14988, 435798]$ \(y^2=x^3-x^2-14988x+435798\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? $[(-61, 1058), (2035987/9, 2905017254/9)]$
101568.z2 101568.z \( 2^{6} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $4.786183783$ $[0, -1, 0, 45847, 3027369]$ \(y^2=x^3-x^2+45847x+3027369\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? $[(31, 2116), (100541, 31879656)]$
101568.ba1 101568.ba \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.269154398$ $[0, -1, 0, -2913, 61473]$ \(y^2=x^3-x^2-2913x+61473\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[(32, 1)]$
101568.ba2 101568.ba \( 2^{6} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.134577199$ $[0, -1, 0, -153, 1305]$ \(y^2=x^3-x^2-153x+1305\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[(8, 23)]$
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