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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (1-50 of 91 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
108300.a1 108300.a \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $1.172362773$ $[0, -1, 0, -21058, 1156537]$ \(y^2=x^3-x^2-21058x+1156537\) 114.2.0.? $[(108, 361), (592/3, 6137/3)]$
108300.b1 108300.b \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $0.383854091$ $[0, -1, 0, -158, 8937]$ \(y^2=x^3-x^2-158x+8937\) 30.2.0.a.1 $[(22, 125)]$
108300.c1 108300.c \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 87242, -22452863]$ \(y^2=x^3-x^2+87242x-22452863\) 30.2.0.a.1 $[ ]$
108300.d1 108300.d \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $2.482943327$ $[0, -1, 0, -28278, 1250397]$ \(y^2=x^3-x^2-28278x+1250397\) 114.2.0.? $[(431, 8303)]$
108300.e1 108300.e \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $6.048548081$ $[0, -1, 0, -10345658, -12804813063]$ \(y^2=x^3-x^2-10345658x-12804813063\) 3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 $[(4212, 135375), (94462, 29015375)]$
108300.e2 108300.e \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $6.048548081$ $[0, -1, 0, -57158, -36784563]$ \(y^2=x^3-x^2-57158x-36784563\) 3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 $[(2407, 117325), (4213/2, 261725/2)]$
108300.f1 108300.f \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1223188, -521407208]$ \(y^2=x^3-x^2-1223188x-521407208\) 228.2.0.? $[ ]$
108300.g1 108300.g \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $0.446666574$ $[0, -1, 0, -553533, 158696937]$ \(y^2=x^3-x^2-553533x+158696937\) 10.2.0.a.1 $[(507, 2850), (423, 246)]$
108300.h1 108300.h \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $1.210724598$ $[0, -1, 0, -3517533, 2540384937]$ \(y^2=x^3-x^2-3517533x+2540384937\) 10.2.0.a.1 $[(1107, 1350)]$
108300.i1 108300.i \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $2.987674014$ $[0, -1, 0, -633, 107262]$ \(y^2=x^3-x^2-633x+107262\) 6.2.0.a.1 $[(62, 550)]$
108300.j1 108300.j \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $1.465346746$ $[0, -1, 0, 24067, -8518263]$ \(y^2=x^3-x^2+24067x-8518263\) 38.2.0.a.1 $[(203, 2166)]$
108300.k1 108300.k \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -16590958, -25907993963]$ \(y^2=x^3-x^2-16590958x-25907993963\) 114.2.0.? $[ ]$
108300.l1 108300.l \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -92400958, -336406801463]$ \(y^2=x^3-x^2-92400958x-336406801463\) 114.2.0.? $[ ]$
108300.m1 108300.m \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -562558, 162523537]$ \(y^2=x^3-x^2-562558x+162523537\) 3.4.0.a.1, 6.8.0-3.a.1.1, 57.8.0-3.a.1.2, 114.16.0.? $[ ]$
108300.m2 108300.m \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -21058, -901163]$ \(y^2=x^3-x^2-21058x-901163\) 3.4.0.a.1, 6.8.0-3.a.1.2, 57.8.0-3.a.1.1, 114.16.0.? $[ ]$
108300.n1 108300.n \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2533, -86063]$ \(y^2=x^3-x^2-2533x-86063\) 4.4.0.a.1, 38.2.0.a.1, 76.8.0.? $[ ]$
108300.o1 108300.o \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -10950333, 13950918537]$ \(y^2=x^3-x^2-10950333x+13950918537\) 3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 57.8.0-3.a.1.2, 114.16.0.?, $\ldots$ $[ ]$
108300.o2 108300.o \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -120333, 23538537]$ \(y^2=x^3-x^2-120333x+23538537\) 3.4.0.a.1, 6.24.0.c.1, 57.8.0-3.a.1.1, 114.48.0.? $[ ]$
108300.p1 108300.p \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -19253, -1023903]$ \(y^2=x^3-x^2-19253x-1023903\) 6.2.0.a.1 $[ ]$
108300.q1 108300.q \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $2.751352102$ $[0, -1, 0, -57158, 2311737]$ \(y^2=x^3-x^2-57158x+2311737\) 114.2.0.? $[(364/3, 6859/3)]$
108300.r1 108300.r \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $35.57660609$ $[0, -1, 0, -4677958, -3892769963]$ \(y^2=x^3-x^2-4677958x-3892769963\) 5.5.0.a.1, 30.10.0.b.1 $[(28709258334744573/1511938, 4786710960315081036948625/1511938)]$
108300.s1 108300.s \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -67549718, 213712152957]$ \(y^2=x^3-x^2-67549718x+213712152957\) 5.5.0.a.1, 30.10.0.b.1 $[ ]$
108300.t1 108300.t \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $9.045477483$ $[0, -1, 0, -833308, -282020888]$ \(y^2=x^3-x^2-833308x-282020888\) 2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? $[(41877, 8567500)]$
108300.t2 108300.t \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $18.09095496$ $[0, -1, 0, 24067, -16234638]$ \(y^2=x^3-x^2+24067x-16234638\) 2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? $[(354406657/184, 6672317129375/184)]$
108300.u1 108300.u \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $5.179429340$ $[0, -1, 0, -91453, 3409177]$ \(y^2=x^3-x^2-91453x+3409177\) 10.2.0.a.1 $[(133/2, 5085/2)]$
108300.v1 108300.v \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -6333, -59463]$ \(y^2=x^3-x^2-6333x-59463\) 10.2.0.a.1 $[ ]$
108300.w1 108300.w \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $0.725214078$ $[0, -1, 0, -6618, 145737]$ \(y^2=x^3-x^2-6618x+145737\) 114.2.0.? $[(-82, 361)]$
108300.x1 108300.x \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -228633, 50153262]$ \(y^2=x^3-x^2-228633x+50153262\) 6.2.0.a.1 $[ ]$
108300.y1 108300.y \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -173761333, 883429165537]$ \(y^2=x^3-x^2-173761333x+883429165537\) 6.2.0.a.1 $[ ]$
108300.z1 108300.z \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3958, -40463]$ \(y^2=x^3-x^2-3958x-40463\) 114.2.0.? $[ ]$
108300.ba1 108300.ba \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1771908, -389165688]$ \(y^2=x^3-x^2-1771908x-389165688\) 2.3.0.a.1, 60.6.0.e.1, 76.6.0.?, 1140.12.0.? $[ ]$
108300.ba2 108300.ba \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -914533, 332744062]$ \(y^2=x^3-x^2-914533x+332744062\) 2.3.0.a.1, 60.6.0.e.1, 76.6.0.?, 570.6.0.?, 1140.12.0.? $[ ]$
108300.bb1 108300.bb \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $1.965429521$ $[0, -1, 0, -84708, 9537912]$ \(y^2=x^3-x^2-84708x+9537912\) 228.2.0.? $[(317, 3800)]$
108300.bc1 108300.bc \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $12.87353410$ $[0, -1, 0, 229742, -805518863]$ \(y^2=x^3-x^2+229742x-805518863\) 30.2.0.a.1 $[(546516/11, 404485327/11)]$
108300.bd1 108300.bd \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3658133, -1680886863]$ \(y^2=x^3-x^2-3658133x-1680886863\) 10.2.0.a.1 $[ ]$
108300.be1 108300.be \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $12.09354003$ $[0, -1, 0, -17376133, -27827394863]$ \(y^2=x^3-x^2-17376133x-27827394863\) 10.2.0.a.1 $[(-3457547/38, 367401525/38)]$
108300.bf1 108300.bf \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.748037086$ $[0, -1, 0, -31373908, -61035721688]$ \(y^2=x^3-x^2-31373908x-61035721688\) 2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? $[(-100166/5, 2280798/5)]$
108300.bf2 108300.bf \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $9.496074173$ $[0, -1, 0, -30516533, -64875046938]$ \(y^2=x^3-x^2-30516533x-64875046938\) 2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? $[(1978093/3, 2781189125/3)]$
108300.bg1 108300.bg \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $435.9268716$ $[0, -1, 0, -16946074033, -849141219681938]$ \(y^2=x^3-x^2-16946074033x-849141219681938\) 6.2.0.a.1 $[(7827924903038165639653380207128154638547562390502778728369802984813828767434364443894858502991790963935498009032056140959853229801158572201142417213542979451153335401689086119529456178367838/187199759608999086447724345626806135036304366278447457334476239200034345474675085581425326287, 529353773292820876238840135470223424361002257149897728876905037541850629234826508524346028719095258677459580976367874737043862006387671755853074686743976119999030053150449763556384112367794649563198338586920694811077998944528756758682480658173366134399256555671349038445821689011300550/187199759608999086447724345626806135036304366278447457334476239200034345474675085581425326287)]$
108300.bh1 108300.bh \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -120333, -15043338]$ \(y^2=x^3-x^2-120333x-15043338\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ $[ ]$
108300.bh2 108300.bh \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 105292, -65132088]$ \(y^2=x^3-x^2+105292x-65132088\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ $[ ]$
108300.bi1 108300.bi \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -18233508, -20192470488]$ \(y^2=x^3-x^2-18233508x-20192470488\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$ $[ ]$
108300.bi2 108300.bi \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 3200867, -2144726738]$ \(y^2=x^3-x^2+3200867x-2144726738\) 2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$ $[ ]$
108300.bj1 108300.bj \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 36809967, -126243241938]$ \(y^2=x^3-x^2+36809967x-126243241938\) 5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 $[ ]$
108300.bk1 108300.bk \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.249011680$ $[0, 1, 0, -4813, -122272]$ \(y^2=x^3+x^2-4813x-122272\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ $[(272, 4332)]$
108300.bk2 108300.bk \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.498023360$ $[0, 1, 0, 4212, -519372]$ \(y^2=x^3+x^2+4212x-519372\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ $[(143, 1740)]$
108300.bl1 108300.bl \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $4.005220582$ $[0, 1, 0, -57158, -60956187]$ \(y^2=x^3+x^2-57158x-60956187\) 30.2.0.a.1 $[(28257/8, 135375/8)]$
108300.bm1 108300.bm \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 31494242, 153815221613]$ \(y^2=x^3+x^2+31494242x+153815221613\) 30.2.0.a.1 $[ ]$
108300.bn1 108300.bn \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $2.919362240$ $[0, 1, 0, -28658, 1857813]$ \(y^2=x^3+x^2-28658x+1857813\) 3.4.0.a.1, 30.8.0.b.1, 114.8.0.?, 285.8.0.?, 570.16.0.? $[(93, 75), (877/3, 125/3)]$
108300.bn2 108300.bn \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $0.324373582$ $[0, 1, 0, -158, 5313]$ \(y^2=x^3+x^2-158x+5313\) 3.4.0.a.1, 30.8.0.b.1, 114.8.0.?, 285.8.0.?, 570.16.0.? $[(-2, 75), (13, 75)]$
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