Learn more

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Refine search


Results (1-50 of 154 matches)

Next   displayed columns for results
Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
277350.a1 277350.a \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -128991825, 563823367125]$ \(y^2+xy=x^3+x^2-128991825x+563823367125\) 60.2.0.a.1 $[ ]$
277350.b1 277350.b \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.451219973$ $[1, 1, 0, -2790, -57900]$ \(y^2+xy=x^3+x^2-2790x-57900\) 60.2.0.a.1 $[(-31, 16)]$
277350.c1 277350.c \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.328673782$ $[1, 1, 0, -14830, 1371850]$ \(y^2+xy=x^3+x^2-14830x+1371850\) 1720.2.0.? $[(211, 2668)]$
277350.d1 277350.d \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 114600, 40848000]$ \(y^2+xy=x^3+x^2+114600x+40848000\) 516.2.0.? $[ ]$
277350.e1 277350.e \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $96.02698389$ $[1, 1, 0, -3778363125, -100700446073625]$ \(y^2+xy=x^3+x^2-3778363125x-100700446073625\) 8.2.0.a.1, 13.28.0.a.2, 65.56.0-13.a.2.1, 104.56.1.?, 520.112.1.?, $\ldots$ $[(3016864996273808765226644786435268628837290585/69765241863286715119, 164747217721372405827208990503148714279595313908104868910764669646780/69765241863286715119)]$
277350.e2 277350.e \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $7.386691069$ $[1, 1, 0, -61410875, 185290540125]$ \(y^2+xy=x^3+x^2-61410875x+185290540125\) 8.2.0.a.1, 13.28.0.a.1, 65.56.0-13.a.1.1, 104.56.1.?, 520.112.1.?, $\ldots$ $[(15335, 1680545)]$
277350.f1 277350.f \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $1.282082356$ $[1, 1, 0, -425, 3375]$ \(y^2+xy=x^3+x^2-425x+3375\) 8.2.0.a.1 $[(5, 35), (11, 8)]$
277350.g1 277350.g \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $3.522344626$ $[1, 1, 0, -393875, -95746875]$ \(y^2+xy=x^3+x^2-393875x-95746875\) 120.2.0.? $[(15175, 1860225)]$
277350.h1 277350.h \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $3.058386279$ $[1, 1, 0, 2194725, -6420713625]$ \(y^2+xy=x^3+x^2+2194725x-6420713625\) 8.2.0.a.1 $[(46995, 10169115)]$
277350.i1 277350.i \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.464172225$ $[1, 1, 0, -9455, 1364325]$ \(y^2+xy=x^3+x^2-9455x+1364325\) 120.2.0.? $[(-65, 1340)]$
277350.j1 277350.j \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -437081450, -13598510083500]$ \(y^2+xy=x^3+x^2-437081450x-13598510083500\) 120.2.0.? $[ ]$
277350.k1 277350.k \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.497647878$ $[1, 1, 0, -588699450, 5497550514000]$ \(y^2+xy=x^3+x^2-588699450x+5497550514000\) 86.2.0.? $[(26226, 2832498)]$
277350.l1 277350.l \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $28.18321899$ $[1, 1, 0, -131071950, -470203303500]$ \(y^2+xy=x^3+x^2-131071950x-470203303500\) 2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? $[(101659654757001/66053, 867262312948719573627/66053)]$
277350.l2 277350.l \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $56.36643798$ $[1, 1, 0, 16848050, -43454103500]$ \(y^2+xy=x^3+x^2+16848050x-43454103500\) 2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? $[(82454852518848128170012789/127223428293, 855228370574245014359669772522392957756/127223428293)]$
277350.m1 277350.m \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.259389469$ $[1, 1, 0, -11719000, 2156104000]$ \(y^2+xy=x^3+x^2-11719000x+2156104000\) 60.2.0.a.1 $[(56240, 13284680)]$
277350.n1 277350.n \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $119.8989852$ $[1, 1, 0, -161551314325, -24992805586857875]$ \(y^2+xy=x^3+x^2-161551314325x-24992805586857875\) 2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? $[(24221200937572951932625499849197753025590762541506737721/4954114920277664119460977, 107099838472569938050133712819731106451264910338184059144229982700141728934614919558/4954114920277664119460977)]$
277350.n2 277350.n \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $59.94949263$ $[1, 1, 0, -10081234325, -391792543657875]$ \(y^2+xy=x^3+x^2-10081234325x-391792543657875\) 2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? $[(377930922372981644518459581185/630539178541, 230865154775503757024612787202472510621474270/630539178541)]$
277350.o1 277350.o \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\Z/2\Z$ $14.95657318$ $[1, 1, 0, -23460150, 43715152500]$ \(y^2+xy=x^3+x^2-23460150x+43715152500\) 2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? $[(3221, 38143), (5263325/44, 410293575/44)]$
277350.o2 277350.o \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\Z/2\Z$ $3.739143295$ $[1, 1, 0, -1272150, 870124500]$ \(y^2+xy=x^3+x^2-1272150x+870124500\) 2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? $[(-4, 29586), (72095/2, 19249955/2)]$
277350.p1 277350.p \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -7143034650, 231776551714500]$ \(y^2+xy=x^3+x^2-7143034650x+231776551714500\) 2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? $[ ]$
277350.p2 277350.p \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -4253972150, 420989922027000]$ \(y^2+xy=x^3+x^2-4253972150x+420989922027000\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? $[ ]$
277350.q1 277350.q \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $1.874990709$ $[1, 1, 0, -190485, 31279425]$ \(y^2+xy=x^3+x^2-190485x+31279425\) 60.2.0.a.1 $[(770, 18105), (2609/5, 436313/5)]$
277350.r1 277350.r \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.734478008$ $[1, 1, 0, -2575, -50375]$ \(y^2+xy=x^3+x^2-2575x-50375\) 60.2.0.a.1 $[(60, 95)]$
277350.s1 277350.s \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $18.50952915$ $[1, 1, 0, -19669700, 1823661474000]$ \(y^2+xy=x^3+x^2-19669700x+1823661474000\) 6.2.0.a.1 $[(741273888424/717, 637948242479765948/717)]$
277350.t1 277350.t \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $7.240999923$ $[1, 1, 0, -425, -183675]$ \(y^2+xy=x^3+x^2-425x-183675\) 6.2.0.a.1 $[(37074/25, 553407/25)]$
277350.u1 277350.u \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $35.49881880$ $[1, 1, 0, 2194725, -75651433875]$ \(y^2+xy=x^3+x^2+2194725x-75651433875\) 516.2.0.? $[(929688274579407974/13352381, 657028936064893408332935541/13352381)]$
277350.v1 277350.v \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $9.091452300$ $[1, 1, 0, -70300, -7226000]$ \(y^2+xy=x^3+x^2-70300x-7226000\) 8.2.0.a.1 $[(88795/17, 1924205/17)]$
277350.w1 277350.w \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\Z/2\Z$ $24.39082299$ $[1, 1, 0, -88591175, -320434996875]$ \(y^2+xy=x^3+x^2-88591175x-320434996875\) 2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? $[(-5465, 25845), (-169437845/178, 131610035105/178)]$
277350.w2 277350.w \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $2$ $\Z/2\Z$ $97.56329196$ $[1, 1, 0, -59007175, -537847812875]$ \(y^2+xy=x^3+x^2-59007175x-537847812875\) 2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? $[(22055, 2970485), (1083001984336355/140086, 35160484865237835985835/140086)]$
277350.x1 277350.x \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $8.362982456$ $[1, 1, 0, -1531010, -727411500]$ \(y^2+xy=x^3+x^2-1531010x-727411500\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ $[(-787085/33, 66741955/33)]$
277350.x2 277350.x \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $1.672596491$ $[1, 1, 0, -98035, 11772475]$ \(y^2+xy=x^3+x^2-98035x+11772475\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ $[(469, 8086)]$
277350.x3 277350.x \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $16.72596491$ $[1, 1, 0, -51810, -21833100]$ \(y^2+xy=x^3+x^2-51810x-21833100\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ $[(201208180/401, 2751372300470/401)]$
277350.x4 277350.x \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $3.345192982$ $[1, 1, 0, -5585, 216225]$ \(y^2+xy=x^3+x^2-5585x+216225\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$ $[(0, 465)]$
277350.y1 277350.y \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.209585930$ $[1, 1, 0, 1584555, 71772525]$ \(y^2+xy=x^3+x^2+1584555x+71772525\) 1720.2.0.? $[(1515, 76395)]$
277350.z1 277350.z \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -172720675, -4939253637875]$ \(y^2+xy=x^3+x^2-172720675x-4939253637875\) 8.2.0.a.1 $[ ]$
277350.ba1 277350.ba \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $6.420736285$ $[1, 1, 0, -319915, 51433525]$ \(y^2+xy=x^3+x^2-319915x+51433525\) 2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? $[(18995/11, 2904775/11)]$
277350.ba2 277350.ba \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $3.210368142$ $[1, 1, 0, 49885, 5208525]$ \(y^2+xy=x^3+x^2+49885x+5208525\) 2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? $[(10445, 1062575)]$
277350.bb1 277350.bb \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -14333401, 20885608448]$ \(y^2+xy+y=x^3-14333401x+20885608448\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? $[ ]$
277350.bb2 277350.bb \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -895901, 326233448]$ \(y^2+xy+y=x^3-895901x+326233448\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? $[ ]$
277350.bc1 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $4.150549440$ $[1, 0, 1, -246542001, 1489973337148]$ \(y^2+xy+y=x^3-246542001x+1489973337148\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ $[(38327/2, 649497/2)]$
277350.bc2 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $16.60219776$ $[1, 0, 1, -20964001, 5026645148]$ \(y^2+xy+y=x^3-20964001x+5026645148\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(638198961/176, 15668089227167/176)]$
277350.bc3 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.301098881$ $[1, 0, 1, -15417001, 23254087148]$ \(y^2+xy+y=x^3-15417001x+23254087148\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ $[(616441/16, 34788491/16)]$
277350.bc4 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.534065921$ $[1, 0, 1, -13336876, -18747796852]$ \(y^2+xy+y=x^3-13336876x-18747796852\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ $[(20536, 2882492)]$
277350.bc5 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $1.383516480$ $[1, 0, 1, -3167376, 1868553148]$ \(y^2+xy+y=x^3-3167376x+1868553148\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ $[(2132, 68271)]$
277350.bc6 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.767032960$ $[1, 0, 1, -856126, -276286852]$ \(y^2+xy+y=x^3-856126x-276286852\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ $[(-413, 2831)]$
277350.bc7 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $16.60219776$ $[1, 0, 1, -625001, 622327148]$ \(y^2+xy+y=x^3-625001x+622327148\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ $[(595439267/341, 14288335692666/341)]$
277350.bc8 277350.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.534065921$ $[1, 0, 1, 68374, -21124852]$ \(y^2+xy+y=x^3+68374x-21124852\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ $[(5097, 361801)]$
277350.bd1 277350.bd \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.295784767$ $[1, 0, 1, -671226, -233205152]$ \(y^2+xy+y=x^3-671226x-233205152\) 516.2.0.? $[(971, 5061)]$
277350.be1 277350.be \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $52.59934639$ $[1, 0, 1, 5557629553349, 33306640876850888198]$ \(y^2+xy+y=x^3+5557629553349x+33306640876850888198\) 1720.2.0.? $[(-32980419688295902998607298/4448854411, 388097219395081726481766437056590797636/4448854411)]$
277350.bf1 277350.bf \( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.063822506$ $[1, 0, 1, -477081, -131916932]$ \(y^2+xy+y=x^3-477081x-131916932\) 86.2.0.? $[(22211/5, 1453194/5)]$
Next   displayed columns for results