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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
412200.a1 412200.a \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -91875, -13581250]$ \(y^2=x^3-91875x-13581250\) 1832.2.0.? $[ ]$
412200.b1 412200.b \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\mathsf{trivial}$ $1.091666987$ $[0, 0, 0, -375, 3375]$ \(y^2=x^3-375x+3375\) 1374.2.0.? $[(-15, 75), (10, 25)]$
412200.c1 412200.c \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\mathsf{trivial}$ $3.167946661$ $[0, 0, 0, -9675, 357750]$ \(y^2=x^3-9675x+357750\) 458.2.0.? $[(31, 296)]$
412200.d1 412200.d \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $1.337880651$ $[0, 0, 0, -15150, -666875]$ \(y^2=x^3-15150x-666875\) 2.3.0.a.1, 12.6.0.c.1, 458.6.0.?, 2748.12.0.? $[(-70, 225)]$
412200.d2 412200.d \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.675761303$ $[0, 0, 0, 15225, -3005750]$ \(y^2=x^3+15225x-3005750\) 2.3.0.a.1, 6.6.0.a.1, 916.6.0.?, 2748.12.0.? $[(335, 6300)]$
412200.e1 412200.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.393721254$ $[0, 0, 0, -269175, -53671750]$ \(y^2=x^3-269175x-53671750\) 2.3.0.a.1, 12.6.0.c.1, 458.6.0.?, 2748.12.0.? $[(-295, 250)]$
412200.e2 412200.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $4.787442509$ $[0, 0, 0, -11550, -1373875]$ \(y^2=x^3-11550x-1373875\) 2.3.0.a.1, 6.6.0.a.1, 916.6.0.?, 2748.12.0.? $[(770, 21125)]$
412200.f1 412200.f \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\mathsf{trivial}$ $3.044774395$ $[0, 0, 0, -3375, -91125]$ \(y^2=x^3-3375x-91125\) 1374.2.0.? $[(70, 125)]$
412200.g1 412200.g \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $5.696028520$ $[0, 0, 0, -846075, 138919750]$ \(y^2=x^3-846075x+138919750\) 2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? $[(-1135/2, 150975/2)]$
412200.g2 412200.g \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.848014260$ $[0, 0, 0, 184425, 16290250]$ \(y^2=x^3+184425x+16290250\) 2.3.0.a.1, 30.6.0.a.1, 916.6.0.?, 13740.12.0.? $[(1730, 74250)]$
412200.h1 412200.h \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\mathsf{trivial}$ $2.379796375$ $[0, 0, 0, -1875, 59875]$ \(y^2=x^3-1875x+59875\) 1374.2.0.? $[(5, 225), (30, 175)]$
412200.i1 412200.i \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\mathsf{trivial}$ $1.207676560$ $[0, 0, 0, 825, 14375]$ \(y^2=x^3+825x+14375\) 1374.2.0.? $[(25, 225), (-11, 63)]$
412200.j1 412200.j \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -61875, -5231250]$ \(y^2=x^3-61875x-5231250\) 1832.2.0.? $[ ]$
412200.k1 412200.k \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $1.024680155$ $[0, 0, 0, -16050, 768625]$ \(y^2=x^3-16050x+768625\) 2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? $[(20, 675)]$
412200.k2 412200.k \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.049360311$ $[0, 0, 0, 825, 2304250]$ \(y^2=x^3+825x+2304250\) 2.3.0.a.1, 30.6.0.a.1, 916.6.0.?, 13740.12.0.? $[(95, 1800)]$
412200.l1 412200.l \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $1.458779354$ $[0, 0, 0, -503175, 136858250]$ \(y^2=x^3-503175x+136858250\) 2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? $[(385, 450)]$
412200.l2 412200.l \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.917558708$ $[0, 0, 0, -47550, -284875]$ \(y^2=x^3-47550x-284875\) 2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? $[(-190, 1375)]$
412200.m1 412200.m \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 701700, -418619500]$ \(y^2=x^3+701700x-418619500\) 6870.2.0.? $[ ]$
412200.n1 412200.n \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 176685, -5879410]$ \(y^2=x^3+176685x-5879410\) 1832.2.0.? $[ ]$
412200.o1 412200.o \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2775, 40250]$ \(y^2=x^3-2775x+40250\) 458.2.0.? $[ ]$
412200.p1 412200.p \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\Z/2\Z$ $5.513605785$ $[0, 0, 0, -4395, 35350]$ \(y^2=x^3-4395x+35350\) 2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? $[(-25, 360), (1055, 34200)]$
412200.p2 412200.p \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\Z/2\Z$ $5.513605785$ $[0, 0, 0, -3495, 79450]$ \(y^2=x^3-3495x+79450\) 2.3.0.a.1, 20.6.0.c.1, 916.6.0.?, 2290.6.0.?, 4580.12.0.? $[(30, 40), (51, 184)]$
412200.q1 412200.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $6.216014874$ $[0, 0, 0, -109875, 4418750]$ \(y^2=x^3-109875x+4418750\) 2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? $[(-334, 1964)]$
412200.q2 412200.q \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $3.108007437$ $[0, 0, 0, -87375, 9931250]$ \(y^2=x^3-87375x+9931250\) 2.3.0.a.1, 20.6.0.c.1, 916.6.0.?, 2290.6.0.?, 4580.12.0.? $[(166, 36)]$
412200.r1 412200.r \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $9.003105764$ $[0, 0, 0, -729675, 239891750]$ \(y^2=x^3-729675x+239891750\) 2.3.0.a.1, 60.6.0.c.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? $[(8849/2, 777793/2)]$
412200.r2 412200.r \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $4.501552882$ $[0, 0, 0, -42675, 4250750]$ \(y^2=x^3-42675x+4250750\) 2.3.0.a.1, 30.6.0.a.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? $[(2155, 99600)]$
412200.s1 412200.s \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -6567075, -6477077250]$ \(y^2=x^3-6567075x-6477077250\) 2.3.0.a.1, 60.6.0.c.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? $[ ]$
412200.s2 412200.s \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -384075, -114770250]$ \(y^2=x^3-384075x-114770250\) 2.3.0.a.1, 30.6.0.a.1, 5496.6.0.?, 9160.6.0.?, 27480.12.0.? $[ ]$
412200.t1 412200.t \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -40567575, 349249478375]$ \(y^2=x^3-40567575x+349249478375\) 1374.2.0.? $[ ]$
412200.u1 412200.u \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\mathsf{trivial}$ $0.262560489$ $[0, 0, 0, -5700, 166500]$ \(y^2=x^3-5700x+166500\) 6870.2.0.? $[(30, 150)]$
412200.v1 412200.v \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 4417125, -734926250]$ \(y^2=x^3+4417125x-734926250\) 1832.2.0.? $[ ]$
412200.w1 412200.w \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -51300, -4495500]$ \(y^2=x^3-51300x-4495500\) 6870.2.0.? $[ ]$
412200.x1 412200.x \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $1.411951702$ $[0, 0, 0, -167175, 25454250]$ \(y^2=x^3-167175x+25454250\) 2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? $[(-135, 6750)]$
412200.x2 412200.x \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $2.823903404$ $[0, 0, 0, -26550, -1123875]$ \(y^2=x^3-26550x-1123875\) 2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? $[(270, 3375)]$
412200.y1 412200.y \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -278175, 56443250]$ \(y^2=x^3-278175x+56443250\) 2.3.0.a.1, 20.6.0.c.1, 458.6.0.?, 4580.12.0.? $[ ]$
412200.y2 412200.y \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -20550, 538625]$ \(y^2=x^3-20550x+538625\) 2.3.0.a.1, 10.6.0.a.1, 916.6.0.?, 4580.12.0.? $[ ]$
412200.z1 412200.z \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $2$ $\mathsf{trivial}$ $13.40718352$ $[0, 0, 0, -3450, -77375]$ \(y^2=x^3-3450x-77375\) 458.2.0.? $[(-36, 13), (144, 1553)]$
412200.ba1 412200.ba \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2475, -41850]$ \(y^2=x^3-2475x-41850\) 1832.2.0.? $[ ]$
412200.bb1 412200.bb \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\mathsf{trivial}$ $9.693043676$ $[0, 0, 0, 11925, -722250]$ \(y^2=x^3+11925x-722250\) 4580.2.0.? $[(224515/9, 106462700/9)]$
412200.bc1 412200.bc \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 282300, -21683500]$ \(y^2=x^3+282300x-21683500\) 6870.2.0.? $[ ]$
412200.bd1 412200.bd \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1088175, -437403625]$ \(y^2=x^3-1088175x-437403625\) 1374.2.0.? $[ ]$
412200.be1 412200.be \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -149475, -22243250]$ \(y^2=x^3-149475x-22243250\) 458.2.0.? $[ ]$
412200.bf1 412200.bf \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\mathsf{trivial}$ $4.571415713$ $[0, 0, 0, 5325, 6382375]$ \(y^2=x^3+5325x+6382375\) 1374.2.0.? $[(251, 4851)]$
412200.bg1 412200.bg \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $11.87958607$ $[0, 0, 0, -4896075, -1241482250]$ \(y^2=x^3-4896075x-1241482250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.4, 60.12.0-4.c.1.1, $\ldots$ $[(-14279890/83, 538475850/83)]$
412200.bg2 412200.bg \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $23.75917215$ $[0, 0, 0, -3865575, -2922227750]$ \(y^2=x^3-3865575x-2922227750\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 60.24.0-4.a.1.1, 120.48.0.?, $\ldots$ $[(630082974459/187, 500145786468913648/187)]$
412200.bg3 412200.bg \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $11.87958607$ $[0, 0, 0, -3864450, -2924015375]$ \(y^2=x^3-3864450x-2924015375\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.4, 60.12.0-4.c.1.2, $\ldots$ $[(7903880/59, 561070125/59)]$
412200.bg4 412200.bg \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $1$ $\Z/2\Z$ $11.87958607$ $[0, 0, 0, -2853075, -4488565250]$ \(y^2=x^3-2853075x-4488565250\) 2.3.0.a.1, 4.24.0-4.d.1.2, 60.48.0-60.h.1.1, 1832.48.0.?, 3664.96.0.?, $\ldots$ $[(72073319, 611873694828)]$
412200.bh1 412200.bh \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -441333075, 3567651502750]$ \(y^2=x^3-441333075x+3567651502750\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ $[ ]$
412200.bh2 412200.bh \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -31270575, 39883815250]$ \(y^2=x^3-31270575x+39883815250\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 916.12.0.?, $\ldots$ $[ ]$
412200.bh3 412200.bh \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -13692450, -19055637875]$ \(y^2=x^3-13692450x-19055637875\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ $[ ]$
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