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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 85 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
11130.a1 11130.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $43.26291962$ $[1, 1, 0, -349308253, 1737341792893]$ \(y^2+xy=x^3+x^2-349308253x+1737341792893\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$ $[(5152683158603510801/15717341, 7250914552149295396862788966/15717341)]$
11130.a2 11130.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $21.63145981$ $[1, 1, 0, -134178653, -577323625347]$ \(y^2+xy=x^3+x^2-134178653x-577323625347\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$ $[(93310269274/2201, 21181664138495643/2201)]$
11130.a3 11130.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $43.26291962$ $[1, 1, 0, -132867933, -589547137923]$ \(y^2+xy=x^3+x^2-132867933x-589547137923\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ $[(-79924040748052957741/109607209, 5491514033345757434251870339/109607209)]$
11130.a4 11130.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $43.26291962$ $[1, 1, 0, 59979427, -2109658024323]$ \(y^2+xy=x^3+x^2+59979427x-2109658024323\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ $[(20203234101052408231/33783149, 81445705477601512471539233778/33783149)]$
11130.b1 11130.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.583422836$ $[1, 1, 0, -15738, -766488]$ \(y^2+xy=x^3+x^2-15738x-766488\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ $[(-73, 42)]$
11130.b2 11130.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.291711418$ $[1, 1, 0, -1038, -10908]$ \(y^2+xy=x^3+x^2-1038x-10908\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 212.12.0.?, $\ldots$ $[(-24, 42)]$
11130.b3 11130.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.645855709$ $[1, 1, 0, -318, 1908]$ \(y^2+xy=x^3+x^2-318x+1908\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ $[(3, 30)]$
11130.b4 11130.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.583422836$ $[1, 1, 0, 2142, -61152]$ \(y^2+xy=x^3+x^2+2142x-61152\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ $[(29, 148)]$
11130.c1 11130.c \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $3.136537558$ $[1, 1, 0, -1043, -13587]$ \(y^2+xy=x^3+x^2-1043x-13587\) 22260.2.0.? $[(46, 173)]$
11130.d1 11130.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.018831687$ $[1, 1, 0, -81433, -8978363]$ \(y^2+xy=x^3+x^2-81433x-8978363\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 212.12.0.?, 280.24.0.?, $\ldots$ $[(591, 11942)]$
11130.d2 11130.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.018831687$ $[1, 1, 0, -10713, 214533]$ \(y^2+xy=x^3+x^2-10713x+214533\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$ $[(121, 781)]$
11130.d3 11130.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.509415843$ $[1, 1, 0, -5113, -140507]$ \(y^2+xy=x^3+x^2-5113x-140507\) 2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 212.12.0.?, 280.24.0.?, $\ldots$ $[(-39, 58)]$
11130.d4 11130.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.018831687$ $[1, 1, 0, 7, -6363]$ \(y^2+xy=x^3+x^2+7x-6363\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 212.12.0.?, $\ldots$ $[(139, 1575)]$
11130.e1 11130.e \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2583, -51597]$ \(y^2+xy=x^3+x^2-2583x-51597\) 2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.? $[ ]$
11130.e2 11130.e \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -133, -1127]$ \(y^2+xy=x^3+x^2-133x-1127\) 2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.? $[ ]$
11130.f1 11130.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.619694527$ $[1, 1, 0, -577293, -169063587]$ \(y^2+xy=x^3+x^2-577293x-169063587\) 2.3.0.a.1, 28.6.0.c.1, 424.6.0.?, 2968.12.0.? $[(-439, 286)]$
11130.f2 11130.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.309847263$ $[1, 1, 0, -34573, -2882723]$ \(y^2+xy=x^3+x^2-34573x-2882723\) 2.3.0.a.1, 14.6.0.b.1, 424.6.0.?, 2968.12.0.? $[(271, 2647)]$
11130.g1 11130.g \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $0.176434317$ $[1, 1, 0, -23, 57]$ \(y^2+xy=x^3+x^2-23x+57\) 22260.2.0.? $[(4, 5)]$
11130.h1 11130.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2243808, -1294614738]$ \(y^2+xy=x^3+x^2-2243808x-1294614738\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 212.12.0.?, $\ldots$ $[ ]$
11130.h2 11130.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -140238, -20272032]$ \(y^2+xy=x^3+x^2-140238x-20272032\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 212.12.0.?, $\ldots$ $[ ]$
11130.h3 11130.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -136188, -21492702]$ \(y^2+xy=x^3+x^2-136188x-21492702\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$ $[ ]$
11130.h4 11130.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -9018, -300348]$ \(y^2+xy=x^3+x^2-9018x-300348\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$ $[ ]$
11130.i1 11130.i \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -23397, -195219]$ \(y^2+xy=x^3+x^2-23397x-195219\) 2.3.0.a.1, 420.6.0.?, 424.6.0.?, 44520.12.0.? $[ ]$
11130.i2 11130.i \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -14917, 691789]$ \(y^2+xy=x^3+x^2-14917x+691789\) 2.3.0.a.1, 210.6.0.?, 424.6.0.?, 44520.12.0.? $[ ]$
11130.j1 11130.j \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.437341129$ $[1, 0, 1, -731704, 240846806]$ \(y^2+xy+y=x^3-731704x+240846806\) 2.3.0.a.1, 28.6.0.a.1, 636.6.0.?, 4452.12.0.? $[(613, 4463)]$
11130.j2 11130.j \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.874682258$ $[1, 0, 1, -45704, 3765206]$ \(y^2+xy+y=x^3-45704x+3765206\) 2.3.0.a.1, 28.6.0.b.1, 318.6.0.?, 4452.12.0.? $[(96, 466)]$
11130.k1 11130.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.339693485$ $[1, 0, 1, -36184, 2646182]$ \(y^2+xy+y=x^3-36184x+2646182\) 2.3.0.a.1, 420.6.0.?, 424.6.0.?, 44520.12.0.? $[(106, 14)]$
11130.k2 11130.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.679386971$ $[1, 0, 1, -2264, 41126]$ \(y^2+xy+y=x^3-2264x+41126\) 2.3.0.a.1, 210.6.0.?, 424.6.0.?, 44520.12.0.? $[(26, -9)]$
11130.l1 11130.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.976102532$ $[1, 0, 1, -1633019, 803084402]$ \(y^2+xy+y=x^3-1633019x+803084402\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 140.12.0.?, 210.6.0.?, $\ldots$ $[(738, -356)]$
11130.l2 11130.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.976102532$ $[1, 0, 1, -139219, 2599682]$ \(y^2+xy+y=x^3-139219x+2599682\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 212.12.0.?, $\ldots$ $[(-200, 4838)]$
11130.l3 11130.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.488051266$ $[1, 0, 1, -102119, 12527642]$ \(y^2+xy+y=x^3-102119x+12527642\) 2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 212.12.0.?, 420.24.0.?, $\ldots$ $[(198, 184)]$
11130.l4 11130.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.244025633$ $[1, 0, 1, -4119, 336442]$ \(y^2+xy+y=x^3-4119x+336442\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 212.12.0.?, 280.12.0.?, $\ldots$ $[(23, 492)]$
11130.m1 11130.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.155530143$ $[1, 0, 1, -693764, -222471088]$ \(y^2+xy+y=x^3-693764x-222471088\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 212.12.0.?, $\ldots$ $[(-480, 271)]$
11130.m2 11130.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.155530143$ $[1, 0, 1, -163584, 21863296]$ \(y^2+xy+y=x^3-163584x+21863296\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ $[(458, 6333)]$
11130.m3 11130.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.577765071$ $[1, 0, 1, -44514, -3284288]$ \(y^2+xy+y=x^3-44514x-3284288\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 212.12.0.?, $\ldots$ $[(-130, 621)]$
11130.m4 11130.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.288882535$ $[1, 0, 1, 3506, -249424]$ \(y^2+xy+y=x^3+3506x-249424\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ $[(73, 593)]$
11130.n1 11130.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $9.873880978$ $[1, 0, 1, -28029, -174944]$ \(y^2+xy+y=x^3-28029x-174944\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 280.6.0.?, 636.48.0.?, $\ldots$ $[(16675/6, 1956157/6)]$
11130.n2 11130.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/6\Z$ $3.291293659$ $[1, 0, 1, -18264, 948472]$ \(y^2+xy+y=x^3-18264x+948472\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 280.6.0.?, 636.48.0.?, $\ldots$ $[(458, 9189)]$
11130.n3 11130.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/6\Z$ $1.645646829$ $[1, 0, 1, -1114, 15512]$ \(y^2+xy+y=x^3-1114x+15512\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 280.6.0.?, 318.48.0.?, $\ldots$ $[(24, 40)]$
11130.n4 11130.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $4.936940489$ $[1, 0, 1, 6971, -20944]$ \(y^2+xy+y=x^3+6971x-20944\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 280.6.0.?, 318.48.0.?, $\ldots$ $[(75/2, 2651/2)]$
11130.o1 11130.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.242059611$ $[1, 0, 1, -145748, -19160494]$ \(y^2+xy+y=x^3-145748x-19160494\) 2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? $[(-240, 1537)]$
11130.o2 11130.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.484119223$ $[1, 0, 1, 204172, -96982702]$ \(y^2+xy+y=x^3+204172x-96982702\) 2.3.0.a.1, 24.6.0.b.1, 1060.6.0.?, 6360.12.0.? $[(624, 16225)]$
11130.p1 11130.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.794479091$ $[1, 0, 1, -568, 5156]$ \(y^2+xy+y=x^3-568x+5156\) 2.3.0.a.1, 420.6.0.?, 424.6.0.?, 44520.12.0.? $[(12, 4)]$
11130.p2 11130.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.588958182$ $[1, 0, 1, -38, 68]$ \(y^2+xy+y=x^3-38x+68\) 2.3.0.a.1, 210.6.0.?, 424.6.0.?, 44520.12.0.? $[(2, 0)]$
11130.q1 11130.q \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.340354965$ $[1, 0, 1, -428, -952]$ \(y^2+xy+y=x^3-428x-952\) 2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? $[(24, 40)]$
11130.q2 11130.q \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.680709930$ $[1, 0, 1, 102, -104]$ \(y^2+xy+y=x^3+102x-104\) 2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? $[(2, 9)]$
11130.r1 11130.r \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $1.314391057$ $[1, 0, 1, 666277, 409004006]$ \(y^2+xy+y=x^3+666277x+409004006\) 22260.2.0.? $[(13295, 1529352)]$
11130.s1 11130.s \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -11208, 390166]$ \(y^2+xy+y=x^3-11208x+390166\) 2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? $[ ]$
11130.s2 11130.s \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 19512, 2159638]$ \(y^2+xy+y=x^3+19512x+2159638\) 2.3.0.a.1, 24.6.0.b.1, 1060.6.0.?, 6360.12.0.? $[ ]$
11130.t1 11130.t \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -263, -1654]$ \(y^2+xy+y=x^3-263x-1654\) 2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? $[ ]$
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