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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 164 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
194350.a1 194350.a \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.426431677$ $[1, -1, 0, -1117, 33541]$ \(y^2+xy=x^3-x^2-1117x+33541\) 46.2.0.a.1 $[(-6, 203)]$
194350.b1 194350.b \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $5.988133125$ $[1, -1, 0, -15211817542, -73974791463884]$ \(y^2+xy=x^3-x^2-15211817542x-73974791463884\) 5980.2.0.? $[(2326684, 3542836658)]$
194350.c1 194350.c \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.170054540$ $[1, -1, 0, 53, -779]$ \(y^2+xy=x^3-x^2+53x-779\) 46.2.0.a.1 $[(10, 21), (142/3, 1451/3)]$
194350.d1 194350.d \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $5.923022205$ $[1, -1, 0, -930292, 344548816]$ \(y^2+xy=x^3-x^2-930292x+344548816\) 2392.2.0.? $[(475, 2871)]$
194350.e1 194350.e \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 33008, -17043584]$ \(y^2+xy=x^3-x^2+33008x-17043584\) 8.2.0.a.1 $[ ]$
194350.f1 194350.f \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $0.699360886$ $[1, 0, 1, -73376, 6376398]$ \(y^2+xy+y=x^3-73376x+6376398\) 2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? $[(62, 1406)]$
194350.f2 194350.f \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.398721772$ $[1, 0, 1, -21376, -1111602]$ \(y^2+xy+y=x^3-21376x-1111602\) 2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? $[(-78, 326)]$
194350.g1 194350.g \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -3891, -46642]$ \(y^2+xy+y=x^3-3891x-46642\) 92.2.0.? $[ ]$
194350.h1 194350.h \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.886694348$ $[1, 0, 1, 94974, 6396452948]$ \(y^2+xy+y=x^3+94974x+6396452948\) 40.2.0.a.1 $[(1142, 88841)]$
194350.i1 194350.i \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -190636, -32056932]$ \(y^2+xy+y=x^3-190636x-32056932\) 40.2.0.a.1 $[ ]$
194350.j1 194350.j \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -69220376, -226389208602]$ \(y^2+xy+y=x^3-69220376x-226389208602\) 40.2.0.a.1 $[ ]$
194350.k1 194350.k \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 255524, -259958502]$ \(y^2+xy+y=x^3+255524x-259958502\) 2392.2.0.? $[ ]$
194350.l1 194350.l \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.937066726$ $[1, 1, 0, -120, 460]$ \(y^2+xy=x^3+x^2-120x+460\) 3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 195.8.0.?, 8970.16.0.? $[(6, -2), (4, 6)]$
194350.l2 194350.l \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.937066726$ $[1, 1, 0, 205, 2605]$ \(y^2+xy=x^3+x^2+205x+2605\) 3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 195.8.0.?, 8970.16.0.? $[(14, 85), (134, 1501)]$
194350.m1 194350.m \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $28.12641083$ $[1, 1, 0, -117320858450, 15402774939176500]$ \(y^2+xy=x^3+x^2-117320858450x+15402774939176500\) 2392.2.0.? $[(667331100501635/22951, 16657017075055656231445/22951)]$
194350.n1 194350.n \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -88938450, 322799036500]$ \(y^2+xy=x^3+x^2-88938450x+322799036500\) 5.6.0.a.1, 65.24.0-65.a.1.2, 920.12.0.?, 2392.2.0.?, 11960.48.1.? $[ ]$
194350.n2 194350.n \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -761855, -240340745]$ \(y^2+xy=x^3+x^2-761855x-240340745\) 5.6.0.a.1, 65.24.0-65.a.2.3, 920.12.0.?, 2392.2.0.?, 11960.48.1.? $[ ]$
194350.o1 194350.o \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -842694461950, 297750713718576500]$ \(y^2+xy=x^3+x^2-842694461950x+297750713718576500\) 46.2.0.a.1 $[ ]$
194350.p1 194350.p \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.094448004$ $[1, 1, 0, -1526775, 725487625]$ \(y^2+xy=x^3+x^2-1526775x+725487625\) 5980.2.0.? $[(720, -35)]$
194350.q1 194350.q \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.320806065$ $[1, 1, 0, -2334400, -626488000]$ \(y^2+xy=x^3+x^2-2334400x-626488000\) 3.4.0.a.1, 195.8.0.?, 276.8.0.?, 5980.2.0.?, 17940.16.0.? $[(-671, 25601), (5920, 436440)]$
194350.q2 194350.q \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.320806065$ $[1, 1, 0, -1172525, 488172625]$ \(y^2+xy=x^3+x^2-1172525x+488172625\) 3.4.0.a.1, 195.8.0.?, 276.8.0.?, 5980.2.0.?, 17940.16.0.? $[(720, 3865), (551, 2851)]$
194350.r1 194350.r \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.346185562$ $[1, 1, 0, -88951125, 215271878125]$ \(y^2+xy=x^3+x^2-88951125x+215271878125\) 3.4.0.a.1, 195.8.0.?, 276.8.0.?, 5980.2.0.?, 17940.16.0.? $[(1825, 242025), (33450, 5871275)]$
194350.r2 194350.r \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.346185562$ $[1, 1, 0, -80437750, 277642236500]$ \(y^2+xy=x^3+x^2-80437750x+277642236500\) 3.4.0.a.1, 195.8.0.?, 276.8.0.?, 5980.2.0.?, 17940.16.0.? $[(5036, 15058), (46780/3, -2570/3)]$
194350.s1 194350.s \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $2.161415900$ $[1, 1, 0, -74025, 570445]$ \(y^2+xy=x^3+x^2-74025x+570445\) 3.4.0.a.1, 195.8.0.?, 2392.2.0.?, 2760.8.0.?, 7176.8.0.?, $\ldots$ $[(889, 24821), (-21521/41, 85307995/41)]$
194350.s2 194350.s \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $2.161415900$ $[1, 1, 0, -52900, 4661090]$ \(y^2+xy=x^3+x^2-52900x+4661090\) 3.4.0.a.1, 195.8.0.?, 2392.2.0.?, 2760.8.0.?, 7176.8.0.?, $\ldots$ $[(161, 511), (1189/3, -1868/3)]$
194350.t1 194350.t \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $181.8273919$ $[1, 1, 0, -206620352825, -35739349162422875]$ \(y^2+xy=x^3+x^2-206620352825x-35739349162422875\) 3.4.0.a.1, 195.8.0.?, 2392.2.0.?, 2760.8.0.?, 7176.8.0.?, $\ldots$ $[(36889696221209229690508042393188285284546407694985266711595151518117240554630511599/81563993358662470280078592417289872926, 7059195007543589394773746408185991713044491257016715310474053760787539756536011216355552644489793050108937650214974337523225/81563993358662470280078592417289872926)]$
194350.t2 194350.t \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $60.60913066$ $[1, 1, 0, -20275143450, 1086043323236500]$ \(y^2+xy=x^3+x^2-20275143450x+1086043323236500\) 3.4.0.a.1, 195.8.0.?, 2392.2.0.?, 2760.8.0.?, 7176.8.0.?, $\ldots$ $[(20225243158465501201404117571/392246186473, 1584031996011040069644922830472576501771842/392246186473)]$
194350.u1 194350.u \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $12.75202162$ $[1, 1, 0, -204258980, -1123705983200]$ \(y^2+xy=x^3+x^2-204258980x-1123705983200\) 5.6.0.a.1, 65.24.0-65.a.2.3, 460.12.0.?, 5980.48.1.? $[(1139660/7, 884367420/7)]$
194350.u2 194350.u \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.550404324$ $[1, 1, 0, -1256180, 468158800]$ \(y^2+xy=x^3+x^2-1256180x+468158800\) 5.6.0.a.1, 65.24.0-65.a.1.2, 460.12.0.?, 5980.48.1.? $[(840, 2140)]$
194350.v1 194350.v \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $7.858956139$ $[1, 1, 0, -65575, -152875]$ \(y^2+xy=x^3+x^2-65575x-152875\) 2392.2.0.? $[(-671/3, 57181/3)]$
194350.w1 194350.w \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -9242, -363284]$ \(y^2+xy=x^3-x^2-9242x-363284\) 2392.2.0.? $[ ]$
194350.x1 194350.x \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -20745542, 36374453116]$ \(y^2+xy=x^3-x^2-20745542x+36374453116\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 184.12.0.?, $\ldots$ $[ ]$
194350.x2 194350.x \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3507542, -1792844884]$ \(y^2+xy=x^3-x^2-3507542x-1792844884\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 184.12.0.?, $\ldots$ $[ ]$
194350.x3 194350.x \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -1310542, 555748116]$ \(y^2+xy=x^3-x^2-1310542x+555748116\) 2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 184.12.0.?, 520.24.0.?, $\ldots$ $[ ]$
194350.x4 194350.x \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 41458, 32524116]$ \(y^2+xy=x^3-x^2+41458x+32524116\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 184.12.0.?, $\ldots$ $[ ]$
194350.y1 194350.y \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $8.047088043$ $[1, -1, 0, -719042, -234495884]$ \(y^2+xy=x^3-x^2-719042x-234495884\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(36217/3, 6669931/3)]$
194350.y2 194350.y \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $4.023544021$ $[1, -1, 0, -43042, -3979884]$ \(y^2+xy=x^3-x^2-43042x-3979884\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(3988, 249478)]$
194350.z1 194350.z \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $7.715904115$ $[1, -1, 0, 2365208, -5234952384]$ \(y^2+xy=x^3-x^2+2365208x-5234952384\) 920.2.0.? $[(36459, 6949083)]$
194350.ba1 194350.ba \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -326117, -504756459]$ \(y^2+xy=x^3-x^2-326117x-504756459\) 40.2.0.a.1 $[ ]$
194350.bb1 194350.bb \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.248053741$ $[1, -1, 0, -1442, -35034]$ \(y^2+xy=x^3-x^2-1442x-35034\) 40.2.0.a.1 $[(59, 258)]$
194350.bc1 194350.bc \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.941622803$ $[1, -1, 0, -77, -1819]$ \(y^2+xy=x^3-x^2-77x-1819\) 40.2.0.a.1 $[(19, 48)]$
194350.bd1 194350.bd \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.987571202$ $[1, -1, 0, 54133, -9839959]$ \(y^2+xy=x^3-x^2+54133x-9839959\) 52.2.0.a.1 $[(244, 4103)]$
194350.be1 194350.be \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -8552192, -9621110784]$ \(y^2+xy=x^3-x^2-8552192x-9621110784\) 920.2.0.? $[ ]$
194350.bf1 194350.bf \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.521140466$ $[1, -1, 0, -6422792, -2976436384]$ \(y^2+xy=x^3-x^2-6422792x-2976436384\) 920.2.0.? $[(-1901, 49538), (-137699/12, 83522119/12)]$
194350.bg1 194350.bg \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $8.077304975$ $[1, -1, 0, -7614242, 8088914666]$ \(y^2+xy=x^3-x^2-7614242x+8088914666\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(49867/3, 9881581/3)]$
194350.bg2 194350.bg \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $4.038652487$ $[1, -1, 0, -473992, 127535916]$ \(y^2+xy=x^3-x^2-473992x+127535916\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(-562, 14984)]$
194350.bh1 194350.bh \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -845792, 299324416]$ \(y^2+xy=x^3-x^2-845792x+299324416\) 92.2.0.? $[ ]$
194350.bi1 194350.bi \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -444505549942, 114068478199897716]$ \(y^2+xy=x^3-x^2-444505549942x+114068478199897716\) 920.2.0.? $[ ]$
194350.bj1 194350.bj \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $4.415517033$ $[1, -1, 0, -4367, 111541]$ \(y^2+xy=x^3-x^2-4367x+111541\) 920.2.0.? $[(19, 178), (33, 34)]$
194350.bk1 194350.bk \( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.573345992$ $[1, -1, 0, -29522, 1948636]$ \(y^2+xy=x^3-x^2-29522x+1948636\) 920.2.0.? $[(63, 548)]$
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