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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
198744.a1 198744.a \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -46541980, -122196677084]$ \(y^2=x^3-x^2-46541980x-122196677084\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ $[ ]$
198744.a2 198744.a \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2942515, -1862153684]$ \(y^2=x^3-x^2-2942515x-1862153684\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ $[ ]$
198744.b1 198744.b \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $16.38792174$ $[0, -1, 0, -1865985, -983166939]$ \(y^2=x^3-x^2-1865985x-983166939\) 6.2.0.a.1 $[(31143865/3, 173803559138/3)]$
198744.c1 198744.c \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -499620, -123474924]$ \(y^2=x^3-x^2-499620x-123474924\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
198744.c2 198744.c \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 38645, -9362744]$ \(y^2=x^3-x^2+38645x-9362744\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
198744.d1 198744.d \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.842494258$ $[0, -1, 0, -212, -1119]$ \(y^2=x^3-x^2-212x-1119\) 2.2.0.a.1, 182.6.0.?, 1092.12.0.? $[(-8, 1)]$
198744.e1 198744.e \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $3.264972091$ $[0, -1, 0, 394728, -96644484]$ \(y^2=x^3-x^2+394728x-96644484\) 4.8.0.b.1, 28.16.0-4.b.1.1 $[(282, 6084), (13802, 1623076)]$
198744.f1 198744.f \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.712335789$ $[0, -1, 0, 187703, -38801699]$ \(y^2=x^3-x^2+187703x-38801699\) 182.2.0.? $[(2791, 149058)]$
198744.g1 198744.g \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -582161792, 5406661891149]$ \(y^2=x^3-x^2-582161792x+5406661891149\) 2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? $[ ]$
198744.h1 198744.h \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.763126242$ $[0, -1, 0, -1758332, 338381289]$ \(y^2=x^3-x^2-1758332x+338381289\) 2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? $[(-1408, 4563)]$
198744.i1 198744.i \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -38898617, -133321430451]$ \(y^2=x^3-x^2-38898617x-133321430451\) 182.2.0.? $[ ]$
198744.j1 198744.j \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9939388944, 382801519911420]$ \(y^2=x^3-x^2-9939388944x+382801519911420\) 52.2.0.a.1 $[ ]$
198744.k1 198744.k \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $6.175607886$ $[0, -1, 0, -2188944, 1236530268]$ \(y^2=x^3-x^2-2188944x+1236530268\) 2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? $[(-1398, 39528)]$
198744.k2 198744.k \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $12.35121577$ $[0, -1, 0, -35884, 47179924]$ \(y^2=x^3-x^2-35884x+47179924\) 2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? $[(-227690/27, 103820536/27)]$
198744.l1 198744.l \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -10404, -498252]$ \(y^2=x^3-x^2-10404x-498252\) 6.2.0.a.1 $[ ]$
198744.m1 198744.m \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 502381, 1846276860]$ \(y^2=x^3-x^2+502381x+1846276860\) 6.2.0.a.1 $[ ]$
198744.n1 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1253944904, 17091351939180]$ \(y^2=x^3-x^2-1253944904x+17091351939180\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 48.48.0-48.e.1.4, 112.48.0.?, $\ldots$ $[ ]$
198744.n2 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -78374144, 267053450364]$ \(y^2=x^3-x^2-78374144x+267053450364\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.25, 56.48.0-56.h.1.4, $\ldots$ $[ ]$
198744.n3 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -71418104, 316382903628]$ \(y^2=x^3-x^2-71418104x+316382903628\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 24.24.0.bz.1, $\ldots$ $[ ]$
198744.n4 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -5335724, 3384754164]$ \(y^2=x^3-x^2-5335724x+3384754164\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.1.11, 28.24.0-4.b.1.2, $\ldots$ $[ ]$
198744.n5 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1981919, -1031536260]$ \(y^2=x^3-x^2-1981919x-1031536260\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ $[ ]$
198744.n6 198744.n \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 14041816, 22304984220]$ \(y^2=x^3-x^2+14041816x+22304984220\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bz.2, $\ldots$ $[ ]$
198744.o1 198744.o \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -12224, -338820]$ \(y^2=x^3-x^2-12224x-338820\) 2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
198744.o2 198744.o \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 35096, -2364116]$ \(y^2=x^3-x^2+35096x-2364116\) 2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
198744.p1 198744.p \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -77289, -22637187]$ \(y^2=x^3-x^2-77289x-22637187\) 6.2.0.a.1 $[ ]$
198744.q1 198744.q \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.969066206$ $[0, -1, 0, -4772616, -3866544891]$ \(y^2=x^3-x^2-4772616x-3866544891\) 2.2.0.a.1, 4.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? $[(-1290, 11907)]$
198744.r1 198744.r \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.343415018$ $[0, -1, 0, 6704, 475084]$ \(y^2=x^3-x^2+6704x+475084\) 24.2.0.b.1 $[(2493/2, 125567/2)]$
198744.s1 198744.s \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -140415396, -518956437663]$ \(y^2=x^3-x^2-140415396x-518956437663\) 2.2.0.a.1, 156.4.0.?, 182.6.0.?, 1092.12.0.? $[ ]$
198744.t1 198744.t \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.990153797$ $[0, -1, 0, 1255952, 85935004]$ \(y^2=x^3-x^2+1255952x+85935004\) 6.2.0.a.1 $[(14586, 1766744)]$
198744.u1 198744.u \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.678066884$ $[0, -1, 0, -565868, 163908900]$ \(y^2=x^3-x^2-565868x+163908900\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(464, 1014)]$
198744.u2 198744.u \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.356133769$ $[0, -1, 0, -27603, 3721236]$ \(y^2=x^3-x^2-27603x+3721236\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(-43, 2197)]$
198744.v1 198744.v \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -21688, 1099708]$ \(y^2=x^3-x^2-21688x+1099708\) 2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? $[ ]$
198744.v2 198744.v \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1972, 87060]$ \(y^2=x^3-x^2+1972x+87060\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 12.12.0.o.1, 14.6.0.b.1, $\ldots$ $[ ]$
198744.w1 198744.w \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -22096468, 23945748436]$ \(y^2=x^3-x^2-22096468x+23945748436\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
198744.w2 198744.w \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4278517, 2655860544]$ \(y^2=x^3-x^2+4278517x+2655860544\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
198744.x1 198744.x \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $14.75971865$ $[0, -1, 0, -1377861788, -19685484939420]$ \(y^2=x^3-x^2-1377861788x-19685484939420\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(2256593336/67, 106895257549002/67)]$
198744.x2 198744.x \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $29.51943730$ $[0, -1, 0, -85487523, -312277757364]$ \(y^2=x^3-x^2-85487523x-312277757364\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(420157817315837/57821, 8588236979158067229557/57821)]$
198744.y1 198744.y \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 7432, 36828]$ \(y^2=x^3-x^2+7432x+36828\) 6.2.0.a.1 $[ ]$
198744.z1 198744.z \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.754347443$ $[0, -1, 0, -830860, -235955747]$ \(y^2=x^3-x^2-830860x-235955747\) 2.2.0.a.1, 12.4.0-2.a.1.1, 182.6.0.?, 1092.12.0.? $[(-702, 931)]$
198744.ba1 198744.ba \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -28240, -1751231]$ \(y^2=x^3-x^2-28240x-1751231\) 2.2.0.a.1, 52.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? $[ ]$
198744.bb1 198744.bb \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -448766712, 557104816332]$ \(y^2=x^3-x^2-448766712x+557104816332\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 56.12.0.bb.1, 84.12.0.?, $\ldots$ $[ ]$
198744.bb2 198744.bb \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -332501472, 2329591653180]$ \(y^2=x^3-x^2-332501472x+2329591653180\) 2.6.0.a.1, 24.12.0-2.a.1.2, 52.12.0-2.a.1.1, 56.12.0.a.1, 84.12.0.?, $\ldots$ $[ ]$
198744.bb3 198744.bb \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -332335852, 2332032163252]$ \(y^2=x^3-x^2-332335852x+2332032163252\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 52.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$ $[ ]$
198744.bb4 198744.bb \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -218886152, 3945883195500]$ \(y^2=x^3-x^2-218886152x+3945883195500\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 52.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$ $[ ]$
198744.bc1 198744.bc \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $8.617634637$ $[0, -1, 0, 2973, 839448]$ \(y^2=x^3-x^2+2973x+839448\) 6.2.0.a.1 $[(2179/7, 352743/7)]$
198744.bd1 198744.bd \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.465532807$ $[0, -1, 0, -1261472, -544215972]$ \(y^2=x^3-x^2-1261472x-544215972\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ $[(1358, 15660)]$
198744.bd2 198744.bd \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.732766403$ $[0, -1, 0, -102132, -3036060]$ \(y^2=x^3-x^2-102132x-3036060\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$ $[(672, 15210)]$
198744.bd3 198744.bd \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.465532807$ $[0, -1, 0, -60727, 5741800]$ \(y^2=x^3-x^2-60727x+5741800\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ $[(2593/3, 93835/3)]$
198744.bd4 198744.bd \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.465532807$ $[0, -1, 0, 394728, -24301668]$ \(y^2=x^3-x^2+394728x-24301668\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ $[(4774/3, 493480/3)]$
198744.be1 198744.be \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6892552, 6967247260]$ \(y^2=x^3-x^2-6892552x+6967247260\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$ $[ ]$
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