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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
122304.a1 122304.a \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.662959636$ $[0, -1, 0, -11825, 454161]$ \(y^2=x^3-x^2-11825x+454161\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(96, 441)]$
122304.a2 122304.a \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.331479818$ $[0, -1, 0, 915, 33741]$ \(y^2=x^3-x^2+915x+33741\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(5, 196)]$
122304.b1 122304.b \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.662422013$ $[0, -1, 0, -11681665, 15751629601]$ \(y^2=x^3-x^2-11681665x+15751629601\) 52.2.0.a.1 $[(2165, 24576)]$
122304.c1 122304.c \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.230198744$ $[0, -1, 0, -3985, 85681]$ \(y^2=x^3-x^2-3985x+85681\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(21, 104)]$
122304.c2 122304.c \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.460397488$ $[0, -1, 0, -1045, -11339]$ \(y^2=x^3-x^2-1045x-11339\) 2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? $[(-19, 36)]$
122304.d1 122304.d \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 62655, -24230079]$ \(y^2=x^3-x^2+62655x-24230079\) 52.2.0.a.1 $[ ]$
122304.e1 122304.e \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -21732381477, -1233148118938371]$ \(y^2=x^3-x^2-21732381477x-1233148118938371\) 182.2.0.? $[ ]$
122304.f1 122304.f \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -7916897, 8593192161]$ \(y^2=x^3-x^2-7916897x+8593192161\) 24.2.0.b.1 $[ ]$
122304.g1 122304.g \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -727617, 464454369]$ \(y^2=x^3-x^2-727617x+464454369\) 2184.2.0.? $[ ]$
122304.h1 122304.h \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.619555563$ $[0, -1, 0, -4867, 462589]$ \(y^2=x^3-x^2-4867x+462589\) 182.2.0.? $[(12, 637), (685/2, 17199/2)]$
122304.i1 122304.i \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.237862390$ $[0, -1, 0, -69057, 13307841]$ \(y^2=x^3-x^2-69057x+13307841\) 3.4.0.a.1, 6.8.0-3.a.1.2, 24.16.0-24.d.1.1 $[(131, 2548)]$
122304.i2 122304.i \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $3.713587170$ $[0, -1, 0, 589503, -266580159]$ \(y^2=x^3-x^2+589503x-266580159\) 3.4.0.a.1, 6.8.0-3.a.1.1, 24.16.0-24.d.1.2 $[(3395, 202124)]$
122304.j1 122304.j \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.273259442$ $[0, -1, 0, -6215617, 6353484481]$ \(y^2=x^3-x^2-6215617x+6353484481\) 2184.2.0.? $[(2385, 71344)]$
122304.k1 122304.k \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.470321290$ $[0, -1, 0, 4443, 139581]$ \(y^2=x^3-x^2+4443x+139581\) 182.2.0.? $[(12, 441)]$
122304.l1 122304.l \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -46027, -19635839]$ \(y^2=x^3-x^2-46027x-19635839\) 182.2.0.? $[ ]$
122304.m1 122304.m \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.619870108$ $[0, -1, 0, 383, 2689]$ \(y^2=x^3-x^2+383x+2689\) 2184.2.0.? $[(33, 224)]$
122304.n1 122304.n \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $64.69104725$ $[0, -1, 0, -379228117, -2842841392691]$ \(y^2=x^3-x^2-379228117x-2842841392691\) 182.2.0.? $[(7234378122262754444032099667485/17753106748946, 4132946210968040330937044103074987733658372887/17753106748946)]$
122304.o1 122304.o \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -34757, -2518179]$ \(y^2=x^3-x^2-34757x-2518179\) 182.2.0.? $[ ]$
122304.p1 122304.p \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -22017, 2733249]$ \(y^2=x^3-x^2-22017x+2733249\) 2184.2.0.? $[ ]$
122304.q1 122304.q \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -69057, 7084449]$ \(y^2=x^3-x^2-69057x+7084449\) 2184.2.0.? $[ ]$
122304.r1 122304.r \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2021217, 1112853729]$ \(y^2=x^3-x^2-2021217x+1112853729\) 2184.2.0.? $[ ]$
122304.s1 122304.s \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2809, 46873]$ \(y^2=x^3-x^2-2809x+46873\) 2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$ $[ ]$
122304.s2 122304.s \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 376, 4194]$ \(y^2=x^3-x^2+376x+4194\) 2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 84.12.0.?, 104.24.0.?, $\ldots$ $[ ]$
122304.t1 122304.t \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.472969870$ $[0, -1, 0, -289, 1345]$ \(y^2=x^3-x^2-289x+1345\) 2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? $[(-9, 56)]$
122304.t2 122304.t \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.736484935$ $[0, -1, 0, 831, 8289]$ \(y^2=x^3-x^2+831x+8289\) 2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? $[(5, 112)]$
122304.u1 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -29679169, -62223821855]$ \(y^2=x^3-x^2-29679169x-62223821855\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.2, $\ldots$ $[ ]$
122304.u2 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1855009, -971716031]$ \(y^2=x^3-x^2-1855009x-971716031\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.2, 24.48.0-24.i.2.31, $\ldots$ $[ ]$
122304.u3 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1690369, -1151404127]$ \(y^2=x^3-x^2-1690369x-1151404127\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 24.48.0-24.bz.1.2, $\ldots$ $[ ]$
122304.u4 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -126289, -12276431]$ \(y^2=x^3-x^2-126289x-12276431\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.1.6, 52.24.0.c.1, $\ldots$ $[ ]$
122304.u5 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -46909, 3774205]$ \(y^2=x^3-x^2-46909x+3774205\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 26.6.0.b.1, 48.48.0-48.e.2.17, $\ldots$ $[ ]$
122304.u6 122304.u \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 332351, -81347615]$ \(y^2=x^3-x^2+332351x-81347615\) 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.2, $\ldots$ $[ ]$
122304.v1 122304.v \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5504, -151626]$ \(y^2=x^3-x^2-5504x-151626\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[ ]$
122304.v2 122304.v \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1111, -499575]$ \(y^2=x^3-x^2+1111x-499575\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
122304.w1 122304.w \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6135649, 5850636289]$ \(y^2=x^3-x^2-6135649x+5850636289\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ $[ ]$
122304.w2 122304.w \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -428129, 68918529]$ \(y^2=x^3-x^2-428129x+68918529\) 2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
122304.w3 122304.w \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -177249, -27870975]$ \(y^2=x^3-x^2-177249x-27870975\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ $[ ]$
122304.w4 122304.w \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1265311, 477714945]$ \(y^2=x^3-x^2+1265311x+477714945\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.1, $\ldots$ $[ ]$
122304.x1 122304.x \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.137907615$ $[0, -1, 0, -733889, 242232705]$ \(y^2=x^3-x^2-733889x+242232705\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ $[(496, 41)]$
122304.x2 122304.x \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.568953807$ $[0, -1, 0, -45929, 3785769]$ \(y^2=x^3-x^2-45929x+3785769\) 2.6.0.a.1, 12.12.0.a.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ $[(145, 392)]$
122304.x3 122304.x \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.137907615$ $[0, -1, 0, -20449, 7939009]$ \(y^2=x^3-x^2-20449x+7939009\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ $[(-37, 2940)]$
122304.x4 122304.x \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.137907615$ $[0, -1, 0, -4524, -15210]$ \(y^2=x^3-x^2-4524x-15210\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ $[(131, 1274)]$
122304.y1 122304.y \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 73631, -4615967]$ \(y^2=x^3-x^2+73631x-4615967\) 52.2.0.a.1 $[ ]$
122304.z1 122304.z \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.923210316$ $[0, -1, 0, -159609, 24593913]$ \(y^2=x^3-x^2-159609x+24593913\) 2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? $[(233, 8)]$
122304.z2 122304.z \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.461605158$ $[0, -1, 0, -145889, 28981569]$ \(y^2=x^3-x^2-145889x+28981569\) 2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? $[(245, 2808)]$
122304.ba1 122304.ba \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -94929, -11225871]$ \(y^2=x^3-x^2-94929x-11225871\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[ ]$
122304.ba2 122304.ba \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5749, -185387]$ \(y^2=x^3-x^2-5749x-185387\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
122304.bb1 122304.bb \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.904870952$ $[0, -1, 0, -79249, 7080529]$ \(y^2=x^3-x^2-79249x+7080529\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[(2504, 124509)]$
122304.bb2 122304.bb \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.952435476$ $[0, -1, 0, 9931, 641733]$ \(y^2=x^3-x^2+9931x+641733\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[(-44, 343)]$
122304.bc1 122304.bc \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.296709458$ $[0, -1, 0, -59649, 5489793]$ \(y^2=x^3-x^2-59649x+5489793\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ $[(1384, 50715)]$
122304.bc2 122304.bc \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.648354729$ $[0, -1, 0, -8689, -187151]$ \(y^2=x^3-x^2-8689x-187151\) 2.6.0.a.1, 4.12.0.a.1, 24.24.0.k.1, 52.24.0.b.1, 56.24.0-4.a.1.1, $\ldots$ $[(-72, 245)]$
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