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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 (41 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
105800.a1 105800.a \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.053237421$ $[0, 0, 0, 66125, 15208750]$ \(y^2=x^3+66125x+15208750\) 8.2.0.a.1 $[(-575/2, 13225/2)]$
105800.b1 105800.b \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.390021099$ $[0, 0, 0, -727375, 238777375]$ \(y^2=x^3-727375x+238777375\) 46.2.0.a.1 $[(805, 13225)]$
105800.c1 105800.c \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2755208, -1738658912]$ \(y^2=x^3+x^2-2755208x-1738658912\) 92.2.0.? $[ ]$
105800.d1 105800.d \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $1.233908504$ $[0, 1, 0, -55562633, 159216190363]$ \(y^2=x^3+x^2-55562633x+159216190363\) 10.2.0.a.1 $[(22923, 3306250), (4173, 6250)]$
105800.e1 105800.e \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $4.944166711$ $[0, 1, 0, -4408, -153312]$ \(y^2=x^3+x^2-4408x-153312\) 4.2.0.a.1, 20.4.0-4.a.1.1 $[(84, 276), (107, 782)]$
105800.f1 105800.f \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -46728, -3877472]$ \(y^2=x^3+x^2-46728x-3877472\) 92.2.0.? $[ ]$
105800.g1 105800.g \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2332008, 1846691488]$ \(y^2=x^3+x^2-2332008x+1846691488\) 4.2.0.a.1, 460.4.0.? $[ ]$
105800.h1 105800.h \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -14988, -703472]$ \(y^2=x^3+x^2-14988x-703472\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ $[ ]$
105800.h2 105800.h \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1763, 10678]$ \(y^2=x^3+x^2-1763x+10678\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ $[ ]$
105800.i1 105800.i \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -105033, -13122437]$ \(y^2=x^3+x^2-105033x-13122437\) 10.2.0.a.1 $[ ]$
105800.j1 105800.j \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.106659627$ $[0, 1, 0, 3527, -494517]$ \(y^2=x^3+x^2+3527x-494517\) 230.2.0.? $[(107, 1058)]$
105800.k1 105800.k \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 101392, 8776012]$ \(y^2=x^3-x^2+101392x+8776012\) 8.2.0.a.1 $[ ]$
105800.l1 105800.l \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $2.766323417$ $[0, -1, 0, 48492, -5705363]$ \(y^2=x^3-x^2+48492x-5705363\) 46.2.0.a.1 $[(537, 13225), (1066, 35443)]$
105800.m1 105800.m \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8045208, 8989926412]$ \(y^2=x^3-x^2-8045208x+8989926412\) 8.2.0.a.1 $[ ]$
105800.n1 105800.n \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 192, -788]$ \(y^2=x^3-x^2+192x-788\) 8.2.0.a.1 $[ ]$
105800.o1 105800.o \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.382942589$ $[0, 0, 0, -1415075, 647892750]$ \(y^2=x^3-1415075x+647892750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ $[(5451, 393576)]$
105800.o2 105800.o \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.191471294$ $[0, 0, 0, -92575, 9125250]$ \(y^2=x^3-92575x+9125250\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$ $[(105, 750)]$
105800.o3 105800.o \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.382942589$ $[0, 0, 0, -26450, -1520875]$ \(y^2=x^3-26450x-1520875\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ $[(-106, 303)]$
105800.o4 105800.o \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.382942589$ $[0, 0, 0, 171925, 51709750]$ \(y^2=x^3+171925x+51709750\) 2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 80.96.3.?, 184.48.0.?, $\ldots$ $[(5395, 397500)]$
105800.p1 105800.p \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.782274692$ $[0, 0, 0, -2300, 34500]$ \(y^2=x^3-2300x+34500\) 10.2.0.a.1 $[(-40, 250)]$
105800.q1 105800.q \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $8.806159236$ $[0, 0, 0, 19414300, 4325368500]$ \(y^2=x^3+19414300x+4325368500\) 230.2.0.? $[(2427305/8, 3807279125/8)]$
105800.r1 105800.r \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $4.180358018$ $[0, 0, 0, -1216700, -419761500]$ \(y^2=x^3-1216700x-419761500\) 10.2.0.a.1 $[(-21160/7, 1719250/7)]$
105800.s1 105800.s \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $20.19400062$ $[0, 0, 0, -462875, -94294250]$ \(y^2=x^3-462875x-94294250\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(64776980074/721, 16486351760377668/721)]$
105800.s2 105800.s \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.09700031$ $[0, 0, 0, 66125, -9125250]$ \(y^2=x^3+66125x-9125250\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(6105810/7, 15087450300/7)]$
105800.t1 105800.t \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -321808, 71790688]$ \(y^2=x^3+x^2-321808x+71790688\) 8.2.0.a.1 $[ ]$
105800.u1 105800.u \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 4792, -88912]$ \(y^2=x^3+x^2+4792x-88912\) 8.2.0.a.1 $[ ]$
105800.v1 105800.v \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $4.212704047$ $[0, 1, 0, -57308, -5482987]$ \(y^2=x^3+x^2-57308x-5482987\) 46.2.0.a.1 $[(338, 3725)]$
105800.w1 105800.w \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $1.456535245$ $[0, 1, 0, 192, 2513]$ \(y^2=x^3+x^2+192x+2513\) 46.2.0.a.1 $[(-8, 23), (37/2, 575/2)]$
105800.x1 105800.x \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $20.19821056$ $[0, 1, 0, 101392, 75176288]$ \(y^2=x^3+x^2+101392x+75176288\) 5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1 $[(2658581573/1006, 138391353933425/1006)]$
105800.y1 105800.y \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4408, 35091313]$ \(y^2=x^3+x^2-4408x+35091313\) 46.2.0.a.1 $[ ]$
105800.z1 105800.z \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $5.218644036$ $[0, 1, 0, 192, -6112]$ \(y^2=x^3+x^2+192x-6112\) 5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1 $[(877/2, 26075/2)]$
105800.ba1 105800.ba \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4408, -1409687]$ \(y^2=x^3+x^2-4408x-1409687\) 46.2.0.a.1 $[ ]$
105800.bb1 105800.bb \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 101392, -29764087]$ \(y^2=x^3+x^2+101392x-29764087\) 46.2.0.a.1 $[ ]$
105800.bc1 105800.bc \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 2534792, 1102071088]$ \(y^2=x^3+x^2+2534792x+1102071088\) 8.2.0.a.1 $[ ]$
105800.bd1 105800.bd \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 88167, -61990963]$ \(y^2=x^3-x^2+88167x-61990963\) 230.2.0.? $[ ]$
105800.be1 105800.be \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $28.35225602$ $[0, -1, 0, -374708, -87184588]$ \(y^2=x^3-x^2-374708x-87184588\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ $[(-5804065854686/127203, 1997705929045827284/127203)]$
105800.be2 105800.be \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $14.17612801$ $[0, -1, 0, -44083, 1422912]$ \(y^2=x^3-x^2-44083x+1422912\) 2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ $[(1615243/327, 30486951125/327)]$
105800.bf1 105800.bf \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1168208, -482347588]$ \(y^2=x^3-x^2-1168208x-482347588\) 92.2.0.? $[ ]$
105800.bg1 105800.bg \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -110208, -13865188]$ \(y^2=x^3-x^2-110208x-13865188\) 92.2.0.? $[ ]$
105800.bh1 105800.bh \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $12.35292844$ $[0, 0, 0, -2473075, -1507187125]$ \(y^2=x^3-2473075x-1507187125\) 46.2.0.a.1 $[(40258510/141, 118544998625/141)]$
105800.bi1 105800.bi \( 2^{3} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $13.31146150$ $[0, 0, 0, 2645, 121670]$ \(y^2=x^3+2645x+121670\) 8.2.0.a.1 $[(-5786639/426, 5416858961/426)]$
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