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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 108 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
285090.a1 285090.a \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 12402, 189702]$ \(y^2+xy=x^3+x^2+12402x+189702\) 87720.2.0.? $[ ]$
285090.b1 285090.b \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -4256943, -3331313307]$ \(y^2+xy=x^3+x^2-4256943x-3331313307\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 104.24.0.?, 2580.12.0.?, $\ldots$ $[ ]$
285090.b2 285090.b \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -541743, 74039013]$ \(y^2+xy=x^3+x^2-541743x+74039013\) 2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 2580.12.0.?, $\ldots$ $[ ]$
285090.b3 285090.b \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -459823, 119766757]$ \(y^2+xy=x^3+x^2-459823x+119766757\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ $[ ]$
285090.b4 285090.b \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 1862737, 554454117]$ \(y^2+xy=x^3+x^2+1862737x+554454117\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ $[ ]$
285090.c1 285090.c \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $6.274224183$ $[1, 1, 0, -3258138, 1803632148]$ \(y^2+xy=x^3+x^2-3258138x+1803632148\) 2.3.0.a.1, 40.6.0.b.1, 2236.6.0.?, 22360.12.0.? $[(-7849/5, 6628959/5)]$
285090.c2 285090.c \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $3.137112091$ $[1, 1, 0, 441062, 170805268]$ \(y^2+xy=x^3+x^2+441062x+170805268\) 2.3.0.a.1, 40.6.0.c.1, 1118.6.0.?, 22360.12.0.? $[(2557, 132979)]$
285090.d1 285090.d \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -238323, 44687853]$ \(y^2+xy=x^3+x^2-238323x+44687853\) 1140360.2.0.? $[ ]$
285090.e1 285090.e \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -9698, -380172]$ \(y^2+xy=x^3+x^2-9698x-380172\) 1140360.2.0.? $[ ]$
285090.f1 285090.f \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1381913, -593697507]$ \(y^2+xy=x^3+x^2-1381913x-593697507\) 2.3.0.a.1, 40.6.0.b.1, 2236.6.0.?, 22360.12.0.? $[ ]$
285090.f2 285090.f \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 63087, -37950507]$ \(y^2+xy=x^3+x^2+63087x-37950507\) 2.3.0.a.1, 40.6.0.c.1, 1118.6.0.?, 22360.12.0.? $[ ]$
285090.g1 285090.g \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1621846563, 25139178798093]$ \(y^2+xy=x^3+x^2-1621846563x+25139178798093\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 408.24.0.?, $\ldots$ $[ ]$
285090.g2 285090.g \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -101366563, 392758606093]$ \(y^2+xy=x^3+x^2-101366563x+392758606093\) 2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0-2.a.1.1, 204.24.0.?, 11180.12.0.?, $\ldots$ $[ ]$
285090.g3 285090.g \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -96078883, 435566605837]$ \(y^2+xy=x^3+x^2-96078883x+435566605837\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.1, 102.6.0.?, $\ldots$ $[ ]$
285090.g4 285090.g \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -6667043, 5456509197]$ \(y^2+xy=x^3+x^2-6667043x+5456509197\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$ $[ ]$
285090.h1 285090.h \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\mathsf{trivial}$ $0.700895132$ $[1, 1, 0, 178, 24084]$ \(y^2+xy=x^3+x^2+178x+24084\) 380120.2.0.? $[(23, 191)]$
285090.i1 285090.i \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\mathsf{trivial}$ $0.178330263$ $[1, 1, 0, -857, 1228851]$ \(y^2+xy=x^3+x^2-857x+1228851\) 380120.2.0.? $[(287, 4829), (-53, 1089)]$
285090.j1 285090.j \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1061047, -421129241]$ \(y^2+xy=x^3+x^2-1061047x-421129241\) 87720.2.0.? $[ ]$
285090.k1 285090.k \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/4\Z$ $6.332938607$ $[1, 1, 0, -610172, 182997264]$ \(y^2+xy=x^3+x^2-610172x+182997264\) 2.3.0.a.1, 4.12.0-4.c.1.1, 780.24.0.?, 5848.24.0.?, 1140360.48.0.? $[(735, 11133)]$
285090.k2 285090.k \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.166469303$ $[1, 1, 0, -48572, 1151184]$ \(y^2+xy=x^3+x^2-48572x+1151184\) 2.6.0.a.1, 4.12.0-2.a.1.1, 780.24.0.?, 2924.24.0.?, 570180.48.0.? $[(-97, 2276)]$
285090.k3 285090.k \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $6.332938607$ $[1, 1, 0, -28092, -1810224]$ \(y^2+xy=x^3+x^2-28092x-1810224\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 780.12.0.?, 1560.24.0.?, $\ldots$ $[(-815/3, 238/3)]$
285090.k4 285090.k \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $1.583234651$ $[1, 1, 0, 185348, 9244816]$ \(y^2+xy=x^3+x^2+185348x+9244816\) 2.3.0.a.1, 4.12.0-4.c.1.2, 1462.6.0.?, 1560.24.0.?, 2924.24.0.?, $\ldots$ $[(32, 3884)]$
285090.l1 285090.l \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\mathsf{trivial}$ $1.449200970$ $[1, 1, 0, -691067, 220832469]$ \(y^2+xy=x^3+x^2-691067x+220832469\) 380120.2.0.? $[(473, 11)]$
285090.m1 285090.m \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 1201148, 320426704]$ \(y^2+xy=x^3+x^2+1201148x+320426704\) 87720.2.0.? $[ ]$
285090.n1 285090.n \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\mathsf{trivial}$ $2.597710758$ $[1, 1, 0, -717, 7101]$ \(y^2+xy=x^3+x^2-717x+7101\) 380120.2.0.? $[(15, -9), (59/2, -39/2)]$
285090.o1 285090.o \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1392372, -632965266]$ \(y^2+xy=x^3+x^2-1392372x-632965266\) 380120.2.0.? $[ ]$
285090.p1 285090.p \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\mathsf{trivial}$ $5.122543006$ $[1, 1, 0, -132762, 60926004]$ \(y^2+xy=x^3+x^2-132762x+60926004\) 87720.2.0.? $[(1553, 59251)]$
285090.q1 285090.q \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -3386247, 4930515189]$ \(y^2+xy=x^3+x^2-3386247x+4930515189\) 87720.2.0.? $[ ]$
285090.r1 285090.r \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -31147, -19962371]$ \(y^2+xy=x^3+x^2-31147x-19962371\) 380120.2.0.? $[ ]$
285090.s1 285090.s \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $10.98514964$ $[1, 0, 1, -156291239, 752042771762]$ \(y^2+xy+y=x^3-156291239x+752042771762\) 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, $\ldots$ $[(7220, -3942), (86716/3, 9996230/3)]$
285090.s2 285090.s \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.746287411$ $[1, 0, 1, -9768239, 11749966562]$ \(y^2+xy+y=x^3-9768239x+11749966562\) 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, 172.12.0.?, $\ldots$ $[(1695, 7108), (-801, 138460)]$
285090.s3 285090.s \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $2.746287411$ $[1, 0, 1, -9477559, 12482131346]$ \(y^2+xy+y=x^3-9477559x+12482131346\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 172.12.0.?, $\ldots$ $[(2254, 49592), (-942, 143908)]$
285090.s4 285090.s \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $2.746287411$ $[1, 0, 1, -628719, 172022626]$ \(y^2+xy+y=x^3-628719x+172022626\) 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, $\ldots$ $[(616, 4001), (6583, 527108)]$
285090.t1 285090.t \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $1.041664735$ $[1, 0, 1, -48419, 4093742]$ \(y^2+xy+y=x^3-48419x+4093742\) 2.3.0.a.1, 68.6.0.c.1, 2236.6.0.?, 38012.12.0.? $[(15, 1828), (123, -8)]$
285090.t2 285090.t \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $1.041664735$ $[1, 0, 1, -3699, 33166]$ \(y^2+xy+y=x^3-3699x+33166\) 2.3.0.a.1, 34.6.0.a.1, 2236.6.0.?, 38012.12.0.? $[(-22, 333), (-52, 318)]$
285090.u1 285090.u \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\mathsf{trivial}$ $22.36636595$ $[1, 0, 1, -340652360664, -76555796472433754]$ \(y^2+xy+y=x^3-340652360664x-76555796472433754\) 380120.2.0.? $[(1055988466324/1205, 429178418384550397/1205)]$
285090.v1 285090.v \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $1.548402678$ $[1, 0, 1, -92379, 10799206]$ \(y^2+xy+y=x^3-92379x+10799206\) 2.3.0.a.1, 104.6.0.?, 4386.6.0.?, 228072.12.0.? $[(188, 198), (-337, 2088)]$
285090.v2 285090.v \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $1.548402678$ $[1, 0, 1, -90299, 11309222]$ \(y^2+xy+y=x^3-90299x+11309222\) 2.3.0.a.1, 104.6.0.?, 8772.6.0.?, 228072.12.0.? $[(198, 997), (-60, 4093)]$
285090.w1 285090.w \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/4\Z$ $3.378471101$ $[1, 0, 1, -15518594, 23528881892]$ \(y^2+xy+y=x^3-15518594x+23528881892\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 172.24.0.?, 1032.48.0.? $[(2316, 2284), (2241, 1609)]$
285090.w2 285090.w \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $3.378471101$ $[1, 0, 1, -984594, 355872292]$ \(y^2+xy+y=x^3-984594x+355872292\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 172.24.0.?, 516.48.0.? $[(733, 4937), (886, 12944)]$
285090.w3 285090.w \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $13.51388440$ $[1, 0, 1, -184594, -23647708]$ \(y^2+xy+y=x^3-184594x-23647708\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$ $[(1965, 83881), (34014/7, 4518592/7)]$
285090.w4 285090.w \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $2$ $\Z/2\Z$ $3.378471101$ $[1, 0, 1, 749406, 1475342692]$ \(y^2+xy+y=x^3+749406x+1475342692\) 2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 344.24.0.?, $\ldots$ $[(53161, 12232289), (4021, 261629)]$
285090.x1 285090.x \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\mathsf{trivial}$ $8.190767690$ $[1, 0, 1, -11453, -1470664]$ \(y^2+xy+y=x^3-11453x-1470664\) 87720.2.0.? $[(18022/9, 1848367/9)]$
285090.y1 285090.y \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -339995113, -2383485549844]$ \(y^2+xy+y=x^3-339995113x-2383485549844\) 2.3.0.a.1, 34.6.0.a.1, 344.6.0.?, 5848.12.0.? $[ ]$
285090.y2 285090.y \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -42338793, -6412680559892]$ \(y^2+xy+y=x^3-42338793x-6412680559892\) 2.3.0.a.1, 68.6.0.c.1, 344.6.0.?, 5848.12.0.? $[ ]$
285090.z1 285090.z \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $2.751509839$ $[1, 0, 1, -138468, 19525858]$ \(y^2+xy+y=x^3-138468x+19525858\) 2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? $[(242, 330)]$
285090.z2 285090.z \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $1$ $\Z/2\Z$ $1.375754919$ $[1, 0, 1, -5348, 55521506]$ \(y^2+xy+y=x^3-5348x+55521506\) 2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? $[(162, 7594)]$
285090.ba1 285090.ba \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -35888, -2827042]$ \(y^2+xy+y=x^3-35888x-2827042\) 380120.2.0.? $[ ]$
285090.bb1 285090.bb \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -2928, -61232]$ \(y^2+xy+y=x^3-2928x-61232\) 87720.2.0.? $[ ]$
285090.bc1 285090.bc \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -17258, 918236]$ \(y^2+xy+y=x^3-17258x+918236\) 380120.2.0.? $[ ]$
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