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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
64320.a1 64320.a \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.535882967$ $[0, -1, 0, -241, -1295]$ \(y^2=x^3-x^2-241x-1295\) 2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? $[(-9, 8)]$
64320.a2 64320.a \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $3.071765934$ $[0, -1, 0, 159, -5535]$ \(y^2=x^3-x^2+159x-5535\) 2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? $[(31, 168)]$
64320.b1 64320.b \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $0.799281274$ $[0, -1, 0, -3681, 85761]$ \(y^2=x^3-x^2-3681x+85761\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[(45, 96)]$
64320.b2 64320.b \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.598562549$ $[0, -1, 0, -481, -1919]$ \(y^2=x^3-x^2-481x-1919\) 2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? $[(-9, 40)]$
64320.c1 64320.c \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\mathsf{trivial}$ $2.132393931$ $[0, -1, 0, 1709, -46259]$ \(y^2=x^3-x^2+1709x-46259\) 134.2.0.? $[(601/4, 16875/4)]$
64320.d1 64320.d \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -31941, -2186595]$ \(y^2=x^3-x^2-31941x-2186595\) 134.2.0.? $[ ]$
64320.e1 64320.e \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -17441, -619359]$ \(y^2=x^3-x^2-17441x-619359\) 2.3.0.a.1, 8.6.0.d.1, 402.6.0.?, 1608.12.0.? $[ ]$
64320.e2 64320.e \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 46559, -4164959]$ \(y^2=x^3-x^2+46559x-4164959\) 2.3.0.a.1, 8.6.0.a.1, 804.6.0.?, 1608.12.0.? $[ ]$
64320.f1 64320.f \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\mathsf{trivial}$ $1.766206904$ $[0, -1, 0, -321, -3519]$ \(y^2=x^3-x^2-321x-3519\) 2680.2.0.? $[(33, 144), (65, 496)]$
64320.g1 64320.g \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $4.977642381$ $[0, -1, 0, -385921, 92406241]$ \(y^2=x^3-x^2-385921x+92406241\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 268.12.0.?, $\ldots$ $[(3256/3, 2465/3)]$
64320.g2 64320.g \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.488821190$ $[0, -1, 0, -24121, 1449721]$ \(y^2=x^3-x^2-24121x+1449721\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, 268.12.0.?, $\ldots$ $[(64, 405)]$
64320.g3 64320.g \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $4.977642381$ $[0, -1, 0, -21441, 1781505]$ \(y^2=x^3-x^2-21441x+1781505\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 268.12.0.?, $\ldots$ $[(907/3, 21500/3)]$
64320.g4 64320.g \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $4.977642381$ $[0, -1, 0, -1676, 17730]$ \(y^2=x^3-x^2-1676x+17730\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0.h.1, 120.24.0.?, $\ldots$ $[(45/2, 105/2)]$
64320.h1 64320.h \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -357441, -82134495]$ \(y^2=x^3-x^2-357441x-82134495\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 268.12.0.?, $\ldots$ $[ ]$
64320.h2 64320.h \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -46561, 1961761]$ \(y^2=x^3-x^2-46561x+1961761\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 268.12.0.?, $\ldots$ $[ ]$
64320.h3 64320.h \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -22441, -1265495]$ \(y^2=x^3-x^2-22441x-1265495\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 268.12.0.?, $\ldots$ $[ ]$
64320.h4 64320.h \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4, -57954]$ \(y^2=x^3-x^2+4x-57954\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$ $[ ]$
64320.i1 64320.i \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\Z/2\Z$ $6.890234960$ $[0, -1, 0, -19041, 938241]$ \(y^2=x^3-x^2-19041x+938241\) 2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? $[(29, 640), (125, 704)]$
64320.i2 64320.i \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\Z/2\Z$ $6.890234960$ $[0, -1, 0, 20959, 4322241]$ \(y^2=x^3-x^2+20959x+4322241\) 2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? $[(13, 2144), (23693, 3646944)]$
64320.j1 64320.j \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.491470467$ $[0, -1, 0, -1601, -13599]$ \(y^2=x^3-x^2-1601x-13599\) 2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? $[(-27, 96)]$
64320.j2 64320.j \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $2.982940934$ $[0, -1, 0, 319, -1695]$ \(y^2=x^3-x^2+319x-1695\) 2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? $[(59, 468)]$
64320.k1 64320.k \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -5121, -1154655]$ \(y^2=x^3-x^2-5121x-1154655\) 2680.2.0.? $[ ]$
64320.l1 64320.l \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\Z/2\Z$ $2.563511683$ $[0, -1, 0, -1121, -11775]$ \(y^2=x^3-x^2-1121x-11775\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[(-19, 48), (269, 4368)]$
64320.l2 64320.l \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\Z/2\Z$ $2.563511683$ $[0, -1, 0, -321, 2145]$ \(y^2=x^3-x^2-321x+2145\) 2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? $[(8, 5), (23, 80)]$
64320.m1 64320.m \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $2.021180531$ $[0, -1, 0, -201, 201]$ \(y^2=x^3-x^2-201x+201\) 2.3.0.a.1, 8.6.0.d.1, 402.6.0.?, 1608.12.0.? $[(-1, 20)]$
64320.m2 64320.m \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.010590265$ $[0, -1, 0, 799, 801]$ \(y^2=x^3-x^2+799x+801\) 2.3.0.a.1, 8.6.0.a.1, 804.6.0.?, 1608.12.0.? $[(1, 40)]$
64320.n1 64320.n \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $4.228814350$ $[0, -1, 0, -555041, 158554305]$ \(y^2=x^3-x^2-555041x+158554305\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[(3805, 230480)]$
64320.n2 64320.n \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $8.457628701$ $[0, -1, 0, -55041, -745695]$ \(y^2=x^3-x^2-55041x-745695\) 2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? $[(23909/5, 3580352/5)]$
64320.o1 64320.o \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\mathsf{trivial}$ $35.79501459$ $[0, -1, 0, -17988321, -51931146879]$ \(y^2=x^3-x^2-17988321x-51931146879\) 2680.2.0.? $[(412054943030031243/7486991, 193690068376303482406059204/7486991)]$
64320.p1 64320.p \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4161, 100161]$ \(y^2=x^3-x^2-4161x+100161\) 2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? $[ ]$
64320.p2 64320.p \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 159, 5985]$ \(y^2=x^3-x^2+159x+5985\) 2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? $[ ]$
64320.q1 64320.q \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -857601, 305972385]$ \(y^2=x^3-x^2-857601x+305972385\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 1608.48.0.? $[ ]$
64320.q2 64320.q \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -53601, 4793985]$ \(y^2=x^3-x^2-53601x+4793985\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 804.24.0.?, 1608.48.0.? $[ ]$
64320.q3 64320.q \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -49601, 5535585]$ \(y^2=x^3-x^2-49601x+5535585\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 1608.48.0.? $[ ]$
64320.q4 64320.q \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3601, 63985]$ \(y^2=x^3-x^2-3601x+63985\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 402.6.0.?, 804.12.0.?, $\ldots$ $[ ]$
64320.r1 64320.r \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -523841, -145756095]$ \(y^2=x^3-x^2-523841x-145756095\) 2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? $[ ]$
64320.r2 64320.r \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -32321, -2330559]$ \(y^2=x^3-x^2-32321x-2330559\) 2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? $[ ]$
64320.s1 64320.s \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $3.005230051$ $[0, -1, 0, -1985, -26175]$ \(y^2=x^3-x^2-1985x-26175\) 2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? $[(-33, 48)]$
64320.s2 64320.s \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $6.010460103$ $[0, -1, 0, 4415, -165695]$ \(y^2=x^3-x^2+4415x-165695\) 2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? $[(343/3, 6416/3)]$
64320.t1 64320.t \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/4\Z$ $4.164996439$ $[0, -1, 0, -18785, 729825]$ \(y^2=x^3-x^2-18785x+729825\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 536.24.0.?, 1608.48.0.? $[(120, 435)]$
64320.t2 64320.t \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.082498219$ $[0, -1, 0, -6785, -203775]$ \(y^2=x^3-x^2-6785x-203775\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 536.24.0.?, 804.24.0.?, $\ldots$ $[(-40, 45)]$
64320.t3 64320.t \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $4.164996439$ $[0, -1, 0, -6705, -209103]$ \(y^2=x^3-x^2-6705x-209103\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 402.6.0.?, $\ldots$ $[(529, 12000)]$
64320.t4 64320.t \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.041249109$ $[0, -1, 0, 3935, -797663]$ \(y^2=x^3-x^2+3935x-797663\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 536.24.0.?, 1608.48.0.? $[(169, 2160)]$
64320.u1 64320.u \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.663917429$ $[0, -1, 0, -92865, 10922625]$ \(y^2=x^3-x^2-92865x+10922625\) 2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? $[(41, 2680)]$
64320.u2 64320.u \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $3.327834859$ $[0, -1, 0, -5385, 197577]$ \(y^2=x^3-x^2-5385x+197577\) 2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? $[(13, 360)]$
64320.v1 64320.v \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $0.682104588$ $[0, -1, 0, -7745, 197025]$ \(y^2=x^3-x^2-7745x+197025\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[(205, 2680)]$
64320.v2 64320.v \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $1$ $\Z/2\Z$ $1.364209177$ $[0, -1, 0, -2745, -51975]$ \(y^2=x^3-x^2-2745x-51975\) 2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? $[(-25, 20)]$
64320.w1 64320.w \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -196225, -32900735]$ \(y^2=x^3-x^2-196225x-32900735\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[ ]$
64320.w2 64320.w \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -195425, -33186975]$ \(y^2=x^3-x^2-195425x-33186975\) 2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? $[ ]$
64320.x1 64320.x \( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) $2$ $\Z/2\Z$ $2.603172235$ $[0, -1, 0, -2625, 38817]$ \(y^2=x^3-x^2-2625x+38817\) 2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? $[(-3, 216), (7, 144)]$
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