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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
107648.a1 107648.a \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $2.084535268$ $[0, 0, 0, 1682, -97556]$ \(y^2=x^3+1682x-97556\) 116.2.0.? $[(87, 841), (1740/7, 28594/7)]$
107648.b1 107648.b \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.628509807$ $[0, 0, 0, 6728, 780448]$ \(y^2=x^3+6728x+780448\) 116.2.0.? $[(348, 6728)]$
107648.c1 107648.c \( 2^{7} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -7543209, 7971597415]$ \(y^2=x^3+x^2-7543209x+7971597415\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0-8.h.1.1, 232.24.0.?, $\ldots$ $[ ]$
107648.c2 107648.c \( 2^{7} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -470399, 125022001]$ \(y^2=x^3+x^2-470399x+125022001\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0-8.g.1.1, 116.12.0.?, $\ldots$ $[ ]$
107648.d1 107648.d \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $8.501241423$ $[0, 1, 0, -7849, -248313]$ \(y^2=x^3+x^2-7849x-248313\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-6787/13, 134428/13)]$
107648.d2 107648.d \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $4.250620711$ $[0, 1, 0, 561, -17879]$ \(y^2=x^3+x^2+561x-17879\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$ $[(2861, 153062)]$
107648.e1 107648.e \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $14.61534426$ $[0, 1, 0, -1885802, -997392578]$ \(y^2=x^3+x^2-1885802x-997392578\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0-8.h.1.1, 232.24.0.?, $\ldots$ $[(60643389/70, 469231540637/70)]$
107648.e2 107648.e \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $7.307672133$ $[0, 1, 0, -1881597, -1002057605]$ \(y^2=x^3+x^2-1881597x-1002057605\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0-8.g.1.1, 116.12.0.?, $\ldots$ $[(83465/7, 9318280/7)]$
107648.f1 107648.f \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $8.515854410$ $[0, 1, 0, -1962, 30058]$ \(y^2=x^3+x^2-1962x+30058\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(3111/13, 49990/13)]$
107648.f2 107648.f \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $4.257927205$ $[0, 1, 0, 2243, 145275]$ \(y^2=x^3+x^2+2243x+145275\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$ $[(5761, 437320)]$
107648.g1 107648.g \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.928592179$ $[0, -1, 0, 8130, 259246]$ \(y^2=x^3-x^2+8130x+259246\) 8.2.0.a.1 $[(561, 13456)]$
107648.h1 107648.h \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 10, -14]$ \(y^2=x^3-x^2+10x-14\) 8.2.0.a.1 $[ ]$
107648.i1 107648.i \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $2.181863632$ $[0, -1, 0, -77, -971]$ \(y^2=x^3-x^2-77x-971\) 116.2.0.? $[(39, 232), (15, 32)]$
107648.j1 107648.j \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $7.388797533$ $[0, -1, 0, -65037, 24331189]$ \(y^2=x^3-x^2-65037x+24331189\) 116.2.0.? $[(3367/3, 195112/3), (3084, 170723)]$
107648.k1 107648.k \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $4.301488017$ $[0, -1, 0, -177731, -28929341]$ \(y^2=x^3-x^2-177731x-28929341\) 116.2.0.? $[(20666/5, 2463289/5)]$
107648.l1 107648.l \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $4.659315276$ $[0, -1, 0, -9531, -368981]$ \(y^2=x^3-x^2-9531x-368981\) 116.2.0.? $[(4273, 279212)]$
107648.m1 107648.m \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.728081045$ $[0, -1, 0, -38125, 2989973]$ \(y^2=x^3-x^2-38125x+2989973\) 116.2.0.? $[(68, 841)]$
107648.n1 107648.n \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -710925, 232145653]$ \(y^2=x^3-x^2-710925x+232145653\) 116.2.0.? $[ ]$
107648.o1 107648.o \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -16259, -3033269]$ \(y^2=x^3-x^2-16259x-3033269\) 116.2.0.? $[ ]$
107648.p1 107648.p \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.857077568$ $[0, -1, 0, -19, 131]$ \(y^2=x^3-x^2-19x+131\) 116.2.0.? $[(10, 29)]$
107648.q1 107648.q \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 39, 73]$ \(y^2=x^3-x^2+39x+73\) 8.2.0.a.1 $[ ]$
107648.r1 107648.r \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 32519, -2106487]$ \(y^2=x^3-x^2+32519x-2106487\) 8.2.0.a.1 $[ ]$
107648.s1 107648.s \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $3.641148849$ $[0, 0, 0, -97556, 11316496]$ \(y^2=x^3-97556x+11316496\) 8.2.0.b.1 $[(0, 3364), (71485/23, 9433497/23)]$
107648.t1 107648.t \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $2.034572648$ $[0, 0, 0, -116, 464]$ \(y^2=x^3-116x+464\) 8.2.0.b.1 $[(4, 8), (5, 3)]$
107648.u1 107648.u \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.738334341$ $[0, 0, 0, -116, -464]$ \(y^2=x^3-116x-464\) 8.2.0.b.1 $[(-6, 4)]$
107648.v1 107648.v \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.825076839$ $[0, 0, 0, -97556, -11316496]$ \(y^2=x^3-97556x-11316496\) 8.2.0.b.1 $[(-1682/3, 16820/3)]$
107648.w1 107648.w \( 2^{7} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $3.692615448$ $[0, 0, 0, -29, 58]$ \(y^2=x^3-29x+58\) 8.2.0.b.1 $[(6, 10), (-6, 4)]$
107648.x1 107648.x \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -24389, 1414562]$ \(y^2=x^3-24389x+1414562\) 8.2.0.b.1 $[ ]$
107648.y1 107648.y \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -24389, -1414562]$ \(y^2=x^3-24389x-1414562\) 8.2.0.b.1 $[ ]$
107648.z1 107648.z \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -29, -58]$ \(y^2=x^3-29x-58\) 8.2.0.b.1 $[ ]$
107648.ba1 107648.ba \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.290007342$ $[0, 1, 0, 10, 14]$ \(y^2=x^3+x^2+10x+14\) 8.2.0.a.1 $[(-1, 2)]$
107648.bb1 107648.bb \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 8130, -259246]$ \(y^2=x^3+x^2+8130x-259246\) 8.2.0.a.1 $[ ]$
107648.bc1 107648.bc \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $9.477939725$ $[0, 1, 0, -65037, -24331189]$ \(y^2=x^3+x^2-65037x-24331189\) 116.2.0.? $[(2016958/11, 2864219771/11)]$
107648.bd1 107648.bd \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.251189692$ $[0, 1, 0, -77, 971]$ \(y^2=x^3+x^2-77x+971\) 116.2.0.? $[(-10, 29)]$
107648.be1 107648.be \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.588498444$ $[0, 1, 0, -9531, 368981]$ \(y^2=x^3+x^2-9531x+368981\) 116.2.0.? $[(-68, 841)]$
107648.bf1 107648.bf \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $2.404245820$ $[0, 1, 0, -177731, 28929341]$ \(y^2=x^3+x^2-177731x+28929341\) 116.2.0.? $[(-97, 6728)]$
107648.bg1 107648.bg \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $19.95186432$ $[0, 1, 0, -710925, -232145653]$ \(y^2=x^3+x^2-710925x-232145653\) 116.2.0.? $[(28133275417/4481, 3512778561820568/4481)]$
107648.bh1 107648.bh \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -38125, -2989973]$ \(y^2=x^3+x^2-38125x-2989973\) 116.2.0.? $[ ]$
107648.bi1 107648.bi \( 2^{7} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $2.478903680$ $[0, 1, 0, -19, -131]$ \(y^2=x^3+x^2-19x-131\) 116.2.0.? $[(55/3, 116/3)]$
107648.bj1 107648.bj \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -16259, 3033269]$ \(y^2=x^3+x^2-16259x+3033269\) 116.2.0.? $[ ]$
107648.bk1 107648.bk \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 32519, 2106487]$ \(y^2=x^3+x^2+32519x+2106487\) 8.2.0.a.1 $[ ]$
107648.bl1 107648.bl \( 2^{7} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 39, -73]$ \(y^2=x^3+x^2+39x-73\) 8.2.0.a.1 $[ ]$
107648.bm1 107648.bm \( 2^{7} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7849, 248313]$ \(y^2=x^3-x^2-7849x+248313\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[ ]$
107648.bm2 107648.bm \( 2^{7} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 561, 17879]$ \(y^2=x^3-x^2+561x+17879\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$ $[ ]$
107648.bn1 107648.bn \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $89.41710713$ $[0, -1, 0, -7543209, -7971597415]$ \(y^2=x^3-x^2-7543209x-7971597415\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0-8.h.1.2, 232.24.0.?, $\ldots$ $[(15468829422925826766001913441146320997504/1644937710779404713, 1639689817031692874304674786437779275264980107337216970259427/1644937710779404713)]$
107648.bn2 107648.bn \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $44.70855356$ $[0, -1, 0, -470399, -125022001]$ \(y^2=x^3-x^2-470399x-125022001\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0-8.g.1.2, 116.12.0.?, $\ldots$ $[(705315277108263934246/361053763, 18571294229858638540935328312023/361053763)]$
107648.bo1 107648.bo \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $39.44808851$ $[0, -1, 0, -1962, -30058]$ \(y^2=x^3-x^2-1962x-30058\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0.c.1, 32.48.0.c.1, $\ldots$ $[(-114621977014971991/66845633, 15616423524782214782311230/66845633)]$
107648.bo2 107648.bo \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $19.72404425$ $[0, -1, 0, 2243, -145275]$ \(y^2=x^3-x^2+2243x-145275\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$ $[(6230071236/10445, 463960364694309/10445)]$
107648.bp1 107648.bp \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $59.31809463$ $[0, -1, 0, -1885802, 997392578]$ \(y^2=x^3-x^2-1885802x+997392578\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0.h.1, 16.24.0-8.h.1.2, 232.24.0.?, $\ldots$ $[(41623035280351670776583317/316224502337, 533266254904821610284150458855638296030/316224502337)]$
107648.bp2 107648.bp \( 2^{7} \cdot 29^{2} \) $1$ $\Z/2\Z$ $29.65904731$ $[0, -1, 0, -1881597, 1002057605]$ \(y^2=x^3-x^2-1881597x+1002057605\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0-8.g.1.2, 116.12.0.?, $\ldots$ $[(654271247414815/992859, 6576464016745228059560/992859)]$
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