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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 726 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
366912.a1 366912.a \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -372792, 87602200]$ \(y^2=x^3-372792x+87602200\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
366912.a2 366912.a \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -346332, 100567600]$ \(y^2=x^3-346332x+100567600\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
366912.b1 366912.b \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.216774895$ $[0, 0, 0, -147, -1960]$ \(y^2=x^3-147x-1960\) 52.2.0.a.1 $[(28, 126)]$
366912.c1 366912.c \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.059779099$ $[0, 0, 0, 11508, -1905680]$ \(y^2=x^3+11508x-1905680\) 52.2.0.a.1 $[(260, 4320)]$
366912.d1 366912.d \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.159457103$ $[0, 0, 0, -169932, -26973520]$ \(y^2=x^3-169932x-26973520\) 728.2.0.? $[(590, 8840)]$
366912.e1 366912.e \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.747900103$ $[0, 0, 0, -2827692, -1829946160]$ \(y^2=x^3-2827692x-1829946160\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[(-964, 328)]$
366912.e2 366912.e \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.373950051$ $[0, 0, 0, -193452, -22857520]$ \(y^2=x^3-193452x-22857520\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[(-278, 3072)]$
366912.f1 366912.f \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4768092, -4007419920]$ \(y^2=x^3-4768092x-4007419920\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ $[ ]$
366912.f2 366912.f \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -296352, -63345240]$ \(y^2=x^3-296352x-63345240\) 2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ $[ ]$
366912.g1 366912.g \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.004232238$ $[0, 0, 0, -519372, 144048240]$ \(y^2=x^3-519372x+144048240\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[(238, 5824)]$
366912.g2 366912.g \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.008464477$ $[0, 0, 0, -35532, 1799280]$ \(y^2=x^3-35532x+1799280\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[(46, 512)]$
366912.h1 366912.h \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.849140627$ $[0, 0, 0, -17052, 850640]$ \(y^2=x^3-17052x+850640\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? $[(14, 784)]$
366912.h2 366912.h \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.698281254$ $[0, 0, 0, -5292, 2003120]$ \(y^2=x^3-5292x+2003120\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[(56, 1372)]$
366912.i1 366912.i \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.926912412$ $[0, 0, 0, -1148952, 445337480]$ \(y^2=x^3-1148952x+445337480\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(298, 11376)]$
366912.i2 366912.i \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.463456206$ $[0, 0, 0, 994308, 1915613840]$ \(y^2=x^3+994308x+1915613840\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(-644, 31752)]$
366912.j1 366912.j \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.937833294$ $[0, 0, 0, -2145612, -1239617680]$ \(y^2=x^3-2145612x-1239617680\) 52.2.0.a.1 $[(2212, 69552)]$
366912.k1 366912.k \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -130070892, 571974973360]$ \(y^2=x^3-130070892x+571974973360\) 728.2.0.? $[ ]$
366912.l1 366912.l \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2145612, 1239617680]$ \(y^2=x^3-2145612x+1239617680\) 52.2.0.a.1 $[ ]$
366912.m1 366912.m \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $20.82909707$ $[0, 0, 0, -130070892, -571974973360]$ \(y^2=x^3-130070892x-571974973360\) 728.2.0.? $[(406462717808/3077, 248852936941038164/3077)]$
366912.n1 366912.n \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1148952, -445337480]$ \(y^2=x^3-1148952x-445337480\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
366912.n2 366912.n \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 994308, -1915613840]$ \(y^2=x^3+994308x-1915613840\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
366912.o1 366912.o \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2827692, 1829946160]$ \(y^2=x^3-2827692x+1829946160\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
366912.o2 366912.o \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -193452, 22857520]$ \(y^2=x^3-193452x+22857520\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
366912.p1 366912.p \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.481916714$ $[0, 0, 0, -4768092, 4007419920]$ \(y^2=x^3-4768092x+4007419920\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ $[(1309, 2989)]$
366912.p2 366912.p \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.740958357$ $[0, 0, 0, -296352, 63345240]$ \(y^2=x^3-296352x+63345240\) 2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ $[(126, 5292)]$
366912.q1 366912.q \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -519372, -144048240]$ \(y^2=x^3-519372x-144048240\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
366912.q2 366912.q \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -35532, -1799280]$ \(y^2=x^3-35532x-1799280\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
366912.r1 366912.r \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17052, -850640]$ \(y^2=x^3-17052x-850640\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? $[ ]$
366912.r2 366912.r \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -5292, -2003120]$ \(y^2=x^3-5292x-2003120\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
366912.s1 366912.s \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.847340653$ $[0, 0, 0, -147, 1960]$ \(y^2=x^3-147x+1960\) 52.2.0.a.1 $[(8, 36)]$
366912.t1 366912.t \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 11508, 1905680]$ \(y^2=x^3+11508x+1905680\) 52.2.0.a.1 $[ ]$
366912.u1 366912.u \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.466883363$ $[0, 0, 0, -169932, 26973520]$ \(y^2=x^3-169932x+26973520\) 728.2.0.? $[(252, 392)]$
366912.v1 366912.v \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $7.625652897$ $[0, 0, 0, -372792, -87602200]$ \(y^2=x^3-372792x-87602200\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(68929/4, 17904159/4)]$
366912.v2 366912.v \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.812826448$ $[0, 0, 0, -346332, -100567600]$ \(y^2=x^3-346332x-100567600\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(17164, 2247336)]$
366912.w1 366912.w \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $2.244648101$ $[0, 0, 0, -356034, 91127554]$ \(y^2=x^3-356034x+91127554\) 182.2.0.? $[(441, 4459), (233, 4563)]$
366912.x1 366912.x \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $3.895052425$ $[0, 0, 0, -133644, -36541456]$ \(y^2=x^3-133644x-36541456\) 2184.2.0.? $[(532, 6552)]$
366912.y1 366912.y \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.413659537$ $[0, 0, 0, 521556, 57388016]$ \(y^2=x^3+521556x+57388016\) 2184.2.0.? $[(-56, 5292)]$
366912.z1 366912.z \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.348442472$ $[0, 0, 0, -1764, -10584]$ \(y^2=x^3-1764x-10584\) 2.2.0.a.1, 14.6.0.a.1, 312.4.0.?, 2184.12.0.? $[(-35, 91)]$
366912.ba1 366912.ba \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1454124, -676224304]$ \(y^2=x^3-1454124x-676224304\) 24.2.0.b.1 $[ ]$
366912.bb1 366912.bb \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.596495589$ $[0, 0, 0, -60564, -3589544]$ \(y^2=x^3-60564x-3589544\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 14.6.0.a.1, 24.16.0-6.a.1.3, $\ldots$ $[(9381/5, 643721/5)]$
366912.bb2 366912.bb \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.865498529$ $[0, 0, 0, -25284, 1547224]$ \(y^2=x^3-25284x+1547224\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 14.6.0.a.1, 24.16.0-6.a.1.6, $\ldots$ $[(93, 13)]$
366912.bc1 366912.bc \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $1.129450804$ $[0, 0, 0, -137004, 19520816]$ \(y^2=x^3-137004x+19520816\) 2184.2.0.? $[(182, 784), (214, 48)]$
366912.bd1 366912.bd \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1141644, -499965424]$ \(y^2=x^3-1141644x-499965424\) 2184.2.0.? $[ ]$
366912.be1 366912.be \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.887358254$ $[0, 0, 0, -439866924, -3551257178896]$ \(y^2=x^3-439866924x-3551257178896\) 2184.2.0.? $[(166180, 67175472)]$
366912.bf1 366912.bf \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.162132551$ $[0, 0, 0, -78204, -8317064]$ \(y^2=x^3-78204x-8317064\) 2.2.0.a.1, 14.6.0.a.1, 312.4.0.?, 2184.12.0.? $[(-147, 49)]$
366912.bg1 366912.bg \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.341551839$ $[0, 0, 0, -66444, 10136336]$ \(y^2=x^3-66444x+10136336\) 3.4.0.a.1, 78.8.0.?, 168.8.0.?, 2184.16.0.? $[(770, 20384), (133, 1911)]$
366912.bg2 366912.bg \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $3.073966559$ $[0, 0, 0, 545076, -161660016]$ \(y^2=x^3+545076x-161660016\) 3.4.0.a.1, 78.8.0.?, 168.8.0.?, 2184.16.0.? $[(658, 21952), (2373, 120393)]$
366912.bh1 366912.bh \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.688970224$ $[0, 0, 0, -735419244, 7676400516176]$ \(y^2=x^3-735419244x+7676400516176\) 3.4.0.a.1, 9.12.0.a.1, 78.8.0.?, 168.8.0.?, 234.24.0.?, $\ldots$ $[(12880, 583884)]$
366912.bh2 366912.bh \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.562990074$ $[0, 0, 0, -3429804, 23412395216]$ \(y^2=x^3-3429804x+23412395216\) 3.12.0.a.1, 78.24.0.?, 168.24.0.?, 819.36.0.?, 1638.72.0.?, $\ldots$ $[(-1232, 160524)]$
366912.bh3 366912.bh \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.688970224$ $[0, 0, 0, 380436, -858833584]$ \(y^2=x^3+380436x-858833584\) 3.4.0.a.1, 9.12.0.a.1, 78.8.0.?, 168.8.0.?, 234.24.0.?, $\ldots$ $[(6832, 566244)]$
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